Buckingham Hotel 1-2 Burlington Rd, Buxton, SK17 9AS General Structural Engineers Report Reference: M422-1017 Date: 08/11/2017 Rev: A PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 1 Contents Title Main Report findings Summary of major Structural work required Design Loadings Check existing double beams in Cavendish room Preliminary size replacement Beams in Cavendish Check larger existing beam in snooker room cellar Check existing timber beam in Ramsay bar Preliminary size replacement Beam in Ramsay bar Existing Staircase stringer check Preliminary size replacement stair stringers Photographs Limitations of report Page No 3 12 13 14 17 21 23 25 29 32 36 53 PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 2 Reference: M422-1017 Date: 08/11/2017 FAO: Mr S. Barar RE: Structural Engineer Report – Buckingham Hotel 1-2 Burlington Rd, Buxton SK17 9AS Introduction & Clients Brief We were commissioned to carry out a visual inspection and produce a General Structural Engineers Report for Buckingham Hotel, 1-2 Burlington Rd, Buxton, which our client owns. Mr Paul Davies. B.Eng (hons) C.Eng; M.I.StructE of PKD Consulting Engineers Ltd carried out the visual inspection on the 16/10/2017. Description of the Property. The property is substantial detached stone building that dates from 1876. Originally two large semi-detached houses, the property was converted into a hotel in the early 20th Century. We suspect soon after construction, both separate dwellings where extended at their rear. This created a ‘U ’shaped structure, which in more recent times was infilled with a rear extension. The property consists of four storeys above front elevation ground level, including attic rooms and has a large cellar towards the front of the property. The land slopes towards the rear elevation and level access into the cellar can be obtained from the rear of the property through a single doorway. The external walls are constructed using course gritstone to the outer face with random rubble core. The external wall thickness measures approximately 450mm thick. There are four bay windows to the front of the property, each three storeys in height (measured from cellar level). The bays are constructed using a traditional stone lintel and mullion design. All the windows have the original timber sash window frames and single pane glazing. The upper floors to the property are traditional suspended timber joists and floorboards. The cellar floor is a combination of ground bearing concrete slab along both gable elevations and a suspended timber floors towards the middle of the building. The main pitched roof is covered with traditional blue slate. The infilled rear extension has a bitumen asphalt flat roof covering. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 3 Find below the key structural items observed during our visual inspection. Annotations of views are assumed facing the front elevation. 1.0 Front Elevation Two middle bay windows and central brickwork 1.1 The 3-storey front two middle bay windows have pulled away from the main structure and rotated on their foundations. The degree of distortion from plumb is significant, most noticeably at 1st floor level. Above the 1st floor bay, the stone lintels have dropped notably. The method of constructing the bays provides very limited tying back to the main structure. The middle section of brickwork between the two middle bay windows has also pulled away and has a significant outward lean. Had the party wall not been removed at cellar and ground floor level, this central brickwork would most definitely have been more stable. The degree of distortion is now at the stage where ongoing and progressive movement is likely to both the middle bays and central brickwork. In our opinion, the two middle bays and central brickwork need to be rebuilt from cellar to 2nd floor level on new mini piled foundations. The new bays will also need to be laterally anchored to the main structure at each floor level. During construction, we recommend the front wall be tied into a new dense concrete block wall built along the original party wall line within the snooker room. The specification stated in H and H Building Solutions report would appear a reasonable solution. 1.2 Currently within the Cavendish room at 1st floor, there are double beams spanning onto the front wall between the bay windows. Ideally a nib should have been retained to provide additional stability at this position. Therefore, we recommend either rebuilding an 1350mm long nib at time of constructing the new wall, or preferably installing a steel windpost. The wind post can be bolted to the steel beams above and fixed to a deep concrete padstone supported off the wall below. This will help provide much needed lateral restraint to the newly constructed front wall between the middle bay windows at ground and 1st floor. 2.0 Front Elevation - Two outer bay windows 2.1 There has been structural movement to the two outer bays on the front elevation. The degree of vertical and lateral movement is less than that observed to the central two bays. However, we suspect ongoing movement will occur and both the outer bay windows should be underpinned with a mini pile foundation solution. The two outer bays can be maintained; however, the longstanding movement has resulted in cracking to several stone lintels, which will need to be replaced. In addition, the mullions would benefit from being restrained at each floor level. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 4 2.2 The timber sash windows to all the windows around the property are in poor condition and will need to be replaced. 3.0 Left hand Gable Elevation 3.1 The bay window to the left-hand elevation appeared reasonably plumb and any movement has been minor. However, we would recommend installing additional lateral restraints at each floor level to provide stability to the stone mullions and lintels. 4.0 Right hand Gable Elevation 4.1 The bay window on the right-hand elevation has an outwards lean and has pulled away from the main gable wall. In addition, the main gable wall to the rear of the bay has also pulled away, with an outside lean of approx. 20mm over a 1200mm long spirit level. The movement has distorted the window openings and caused the basement stone lintels and sills to crack. Internally within the Ramsay bar at ground floor, there is significant distortion to the gable wall and cracking has occurred across the ceiling coving near the bay window. At first floor, there is diagonal cracking to the dividing wall between bedrooms 8 and 10. There is also cracking across the ceiling in front of the bay window. The walls in both bedrooms are not plumb and mirror the distortion observed externally. We suspect there is ongoing movement of the bay window and recommend the bay be mini-piled and lateral restraints installed at each floor level. The separating wall between bedrooms 8 and 10 should also be tied back to the main elevation. 4.2 The broken lintels and sills should also be replaced. 4.3 The conifer tree at the rear corner of right hand gable wall will be imposing considerable stress on the retaining wall. The tree is planted far too close to the property and is detrimental to the structural integrity of the retaining wall. Therefore, we recommend the tree be removed as soon as possible. 5.0 Rear Elevation (Right hand side) 5.1 There are several cracks visible externally in the rear right-hand wall. Internally within the bar area there is clear indication of long-term lateral movement, evident by the distortion of the wall profile and filler pieces along the skirting boards. 5.2 A large stone buttress has been installed to aid restraint to the wall. The position of the buttress is not in the ideal location; however, it will be providing some additional restraint to the wall. There is no clear indication of resent ongoing movement to this section of wall. 5.3 To ensure integrity of the wall is maintained, the cracking in the wall needs to be crack stitched repaired. This involves installing 10mm diameter stainless steel crack stitch bars across the crack at 300mm maximum vertical centre, allowing for a minimum PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 5 of 500mm lap either side of the crack. In addition, lateral restraint bars are required at each floor level to help prevent further lateral movement. 6.0 Rear Elevation (Left hand side - SW wing) 6.1 The three pattress plates on the left-hand section of the rear elevation are not effective. The plates are not positioned at floor level and therefore will have no restraint value. 6.2 There is a diagonal crack above the 1st floor left hand window and above the ground floor right hand window. Both these windows also have cracked stone sills. There is evidence of apparent ongoing vertical movement occurring to this elevation. This includes recent cracking in room 6a. Mini piling the rear right hand wall would be beneficial, combined with installing lateral restraint ties at each floor level. 7.0 Flat roof 7.1 The rafters to the 1st floor flat roof appear to deflect significantly when walked upon. The asphalt is covered with a build-up of moss and we suspect the roof covering is near the end of its lifespan. 8.0 Main Roof 8.1 The roof was not inspected, as we understand a separate report has been prepared following high-level access to the roof. 8.2 We have been shown photographs of a crack that has occurred through the party wall within the loft space. The cracking and its position does appear to confirm the structure has suffered from deferentially settlement, primarily due to the movement observed along the front and rear elevations. Either crack stitch repair, or rebuilding the party wall within the loft is recommended INTERNAL 9.0 Timber Floors (General) 9.1 The suspended timber floors are uneven in numerous places, at each floor level. We suspect majority of this movement is associated with long-term differential settlement of the structure. However, localised distortion within the front middle bedrooms is likely associated with the movement of the front middle bays and central wall. 10.0 2nd Floor – Rear Corridor / passageway 10.1 The original doorframes, floor and outer wall along the passageway at 2nd floor are all significantly distorted. This corridor would have been created when the two separate dwellings where combined to form the hotel. This involved removing a section of the party wall that abuts the rear wall to form the passageway. By removing the party wall, this has affected the lateral stability of the rear wall. 10.2 At 1st floor in bedroom 9, a crack has appeared through the dividing brick wall with room 1. Based upon the position of the crack, we suspect this is due to ongoing PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 6 lateral movement of the rear wall. This is a structural concern and the dividing wall needs to be crack stitch repaired and tied to the rear wall using Helifix Helibar (or similar). The bars should extend in a minimum of 2m along the dividing wall at 300mm vertical centres in accordance with manufacturers details. The crack in the wall in bedroom 9 and bowing central rear wall suggests ongoing lateral movement is occurring. Lateral restraint ties are required at 2nd and 3rd floor level (above the flat roof area). In addition, we recommend installing two more substantial pattress plates from the rear elevation, right across the building (parallel with the party wall) into the new front wall at 2nd floor level. This will help further restrain the rear elevation, as the new front wall will be more stable than the existing. 11.0 Staircases 11.1 Attempts to strengthen various stair flights have been carried out over the years. On the left-hand part of the hotel, this includes installing steel beams at the head of some stair flights and various props and brackets along the flight. Upon close inspection of one of these steel beams, it does not actually support the stringers and therefore is largely ineffective. We recommend new steel beams be installed at the head of each stair flight. Additionally, where steel beams have already been installed, these should all be checked to ensure suitable fixity has been provided. 11.2 The timber handrailing to all the staircases is very loose and would not provide any effective safety restraint. Repairs are required. 11.3 Assuming the staircases were originally designed by calculation, the original staircase would have been designed for domestic loading. However, the imposed loading once converted into a hotel would far exceed this value due to increase anticipated traffic, particularly if the staircase is now also used as a fire escape. The flight of each staircase is approximately 5m in length with typically 21 risers per flight. There appears to be three 5” x 3” timber stringers supporting each flight. Calculations suggest these timbers are significantly undersized due to their very long span, even for domestic use. Therefore, either all staircases should be replaced, or the existing stringers will need to be strengthened or replaced by installing additional steel beams, spanning between new landing steel. Effectively this is creating a new staircase structure, however some original Architectural features can be maintained. 11.4 Corridors and landings alongside the staircases have a significant slope, due to excessive deflection of the timber support structure which are undersized for expected hotel imposed loadings. By installing the new steel beams at each landing level, this will also help strengthen the landings. 12.0 Timber beam spanning across Ramsay Bar 12.1 The dividing wall between bedrooms 8 and 10 is supported on a timber beam which spans across the bar area at Ground level. The timber beam measures 19 x 7”, PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 7 with a clear span of 4600mm. The beam supports the 1st and 2nd floor joists and single brick wall above. Calculations suggest the beam is significantly undersized and should be replaced with a suitable sized steel beam. Based upon our calculation results, excessive deflection of the beam is the probable cause of the cracking to the bedroom wall above. The replacement steel beam is estimated to require a 254x254x89UB section. 13.0 Existing steel beams on the party wall line in the cellar snooker room. 13.1 There are two steel downstand beams running across the cellar ceiling along the original party wall line. The larger beam was probably installed at the time the two dwellings were combined to create a hotel. We suspect that the smaller 8x4” beam was installed numerous years after the larger beam was installed. This accounts for the fact that the smaller beam is at a lower level and looks like an after-thought. We suspect the beam was installed due to doubts that the larger 9x7.5RSJ was adequate on its own to support the ground floor joists. Calculations for the larger 9 x 7” historic sized beam suggest the beam is capable of supporting the floor joists within the Cavendish Room without the need for the smaller beam. This is based upon 2.0KN/m2 imposed loading for hotels, dining rooms / lounges. However, we suspect excessive ‘floor bounce’ issues were the reason for the second beam installation. Possibly the Cavendish room was once used as a dance hall, where the imposed load would be far higher and would cause the larger beam to fail. In order to help re-establish satisfactory lateral restraint to the front wall, the proposal to reinstate the party wall within the cellar snooker room will provide additional support to both beams which can be kept in place. The new wall should therefore be hard mortar packed tight to the underside of the beams. 14.0 Existing steel beams below the 1st floor ceiling in the Cavendish room. 14.1 There are two steel downstand beams running across the ceiling along the original party wall line. These beams appear to be 10 x 6“ historic sections and support the party wall and 1st and 2nd floors above. Calculations suggest these beams are significantly undersized in both bending, buckling and overall deflection. The likely reason the beams have not failed is that the party wall is partially arching over the beam span. However, this will have imposed more lateral load onto the front wall. We recommend both these beams be replaced with larger beams. A suitable size would be using two 305x305x118UC sections. 15.0 Underpinning 15.1 The proposed method of underpinning is to install a series of cantilever needle beams supported on bored or CFA mini piles in the areas affected by subsidence, i.e. five bay windows, front central wall and rear wall to the SW corner. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 8 Each needle beam is supported by two mini-piles, one acting in compression and one tension. A pocket is broken out through the existing wall and a reinforced concrete beam is then cast linking the two piles. The bearing capacity of the underlying strata will determine the number, diameter and spacing of piles used. However typically the needles are at 1000 – 1500mm centers and the needle beams can project up to 2000mm in length from the face of the wall. 15.2 The piling can in theory be carried out from inside or outside a building. However, regarding Buckingham Hotel, access into the cellar is restricted to a narrow single doorway at the rear of the property. Therefore, it is unlikely a small mini piling rig would be able to gain access to the rooms toward the front of the hotel. Also, the degree of disruption internally would be significant, as the cellar has a concrete slab alongside the two outer front bay windows. right-hand gable bay and in the SW corner toilet. Therefore, the concrete floor slab would need to be broken up to allow access to install the piles and needle beams. Ideally the top face of the needle beams should be a minimum of 150mm below the underside of the floor slab, to avoid any hard spots once the slab is re-laid. After the needle beams have been installed, compacted hardcore will need to be laid, prior to installing a new concrete slab. The new slab will need to be dowelled into the existing slab around the perimeter. 15.3 The structural suitability of the existing retaining wall alongside the front elevation should also be considered. The retaining wall will not have been designed for current imposed loads for car parking. There is already some indication of structural movement and degrading of the stone and joints to the retaining walls. Therefore, the long-term stability of the retaining wall may be an issue in future years. Installing the piling externally would provide the opportunity and cost benefits to combine this works with installing a new retaining wall. The new retaining walls can then be designed ‘fit for purpose’ to suit current car parking imposed design loadings. We recommend installing either a concrete retaining wall or possibly stone gabion retaining walls prior to back filling and reinstating the carpark. There is enough working space to install the piling externally around the perimeter of the building. This will include excavating approximately 1.5-2.0m depth of the car park along the front elevation and the soft landscaping along the right-hand gable. Excavation for the piling to the rear SW corner will be simpler, as the ground level is already reduced at this location. Considering the numerous factors mentions in items 15.2 and 15.3, carrying out the piling internally would be highly disruptive. We also doubt it is feasible due to access restraints. Therefore, the preferred solution is to pile externally. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 9 15.5 During both the removal and rebuilding of the central bays and the proposed piling operations, the scale of disruption to the operation of the hotel will be significant. We would therefore not expect the hotel to be operational during this process. 16.0 Lateral Restraints ties 16.1 The building has suffered from significant lateral movement over its life span. This is partly due to lack of suitable mechanical lateral restraints being installed at time of construction. 16.2 Installing additional lateral restraints is essential and will complement the underpinning specified. In our opinion, lateral restraint ties should be installed along all elevations at 1st and 2nd floor level to help prevent further lateral movement. 16.3 The preferred method of restraint is to use 12mm diameter stainless steel bars Helifix Cintec cementitious sock anchors fixed into 3 floor joists and resin fixed to the stone wall. The bars should be spaced at 600mm centres where joists are parallel with the wall. Where joists bear onto the wall, Helifix Bowties or cemties should be drilled into each floor joist. The ties are inserted into the wall externally, however some floor boards will need to be removed internally in each room to ensure services are not damaged. Also, due to the length of the bars, it is expected some physically guidance will be required to prevent them deviating during installation. This may therefore require further floor boards being removed, than usually required. Therefore, any carpets will need to be pulled back during installation and then refitted. 2no. additional larger pattress plate restraints are recommended to help restraint the rear middle wall and these should extend to the new front wall. Bedroom 23 (2nd floor) has a tiled bathroom, which may be affected by the pattress plate installation, as the floor boards may need to be raised. However, an alternative is to gain access from the ceiling below and then re-plaster. 16.4 The new section of party wall constructed in the snooker room, should be tied into the new front elevation, as should the new 152x152UC windpost. 16.5 Vertical Cintec cementitious sock anchor ties (or similar) should also be installed where internal walls have separated from the main perimeter walls and where the degree of lateral distortion is most significant. These are required in the following bedroom dividing walls between: Bedrooms 8 and 10, 16 and 17, 32 and 33. Bedrooms 2 and 12, 14 and 23 Bedrooms 1 and 9, 5 and 6, 18 and 19 Additional ties will be required to restrain the new and existing bay windows. 17.0 Drainage Report We have reviewed the CCTV survey and drainage report prepared by County Drains Ltd, dated 18/10/2017. The survey appears to have uncovered four locations were the PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 10 drainage runs have structural defects. Three of these defects are significant and require repair. By reference to the Drainage report, these are as followsSection 1 MH1-MH3 - Broken joint @ 4.9m (appx 1/3 distance along the rear). Section 18 MH6-Main sewer - Various defects to the pipe run noted. Section 19 MH8-MH7 – numerous open joints and cracks, but with a significant broken joint at 12.6m (approximately half way along the front elevation). The most relevant of these defects that could affect the main structure is the broken pipe between MH7-MH8. As the pipe has broken at the bottom, there will be greater discharge into the surrounding ground. If the leak was long-term, it may have contributed to weaken the bearing strata of the nearest middle bay window. However, it is unlikely this defect alone would have been the sole cause of the foundation movement noted to the front two middle bays. The defect near MH2 is not as significant a break as that between MH8-MH7 and is unlikely to be the cause of the foundation movement noted to the rear of the property. The defects between MH6 and the main sewer are further away from the property and although should be repaired, they would not in our opinion adversely affect the foundations to the hotel. The four structural defects mentioned in the drainage report need to be repaired. The drainage run across the front elevation and that to the main sewer are both in poor condition, with numerous open joints and medium cracking. Therefore, it may be beneficial to replace the entire drainage run across the front elevation and right-hand elevations once piling has been installed and ground excavated. In addition, the drainage run from MH6 to the sewer could be replaced, as an alternative to sleaving and localised repair. CONCLUSION The property has suffered from long-term foundation movement and lack of effective lateral restraint to the structure. Foundation movement appears ongoing to 5 bay windows, the middle section of brickwork between the central bays and the rear SW wall. In addition, there has been a number of internal structural modifications that have had a detrimental impact on the properties overall stability and which now need to be rectified / repaired. Yours faithfully Mr P. Davies B.Eng (Hons) C.Eng. M.I.Struct.E. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 11 17.0 Summary of Major Structural Work Required 1) Underpinning is recommended below all 4 of the front bay windows including below the middle section of wall between the central bays. 2) Underpin the right-hand gable bay window. 3) Underpin the SW Corner / left-hand rear extension wall. 4) Rebuild the two central bay windows and middle section of front wall between. 5) Lateral restraint ties are required at each floor level along all elevations, including the central rear wall at 2nd floor (above the flat roof area). 2no. additional larger pattress plate restraints to help restraint the rear middle wall and these should extend to the new front wall. 6) Where internal walls have cracked, these should be tied back to the main walls. 7) Crack stitch repairs should be carried out to cracking observed on the right-hand side rear wall. 8) Install suitable steel beams at each staircase landing level and steel stringers to replace / strengthen existing timber stringers. Strengthen / replace handrails 9) Rebuild the party wall within the front cellar ‘snooker room’ 10) Replace the two double steel beams in the Cavendish room, which are positioned below the 1st floor. 11) Install a steel column along the party wall / front elevation junction within the Cavendish room. The column is to act as a wind post, which will help restrain the new wall. 12) Replace the timber beam in Ramsay bar with a suitable steel beam. 13) Window and Roof repair / replacement as stated in Specialist reports. 14) Remove conifer tree at rear right-hand gable corner. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 12 Calculation checks Loadings Floor loading Boards + Joists = 0.35kN /m2 Ceiling/services = 0.25kN /m2 Rubble stone wall (480mm) = 9.60kN/m2 Plaster & finish (2 face) = 0.50kN/m2 Live Load = 2.00kN/m2 Live Load = 0.75kN/m2 Party Wall Wall abovve Ramsay bar timber beam Masonry wall (102mm) = 2.25kN/m2 Plaster & finish (2 face) = 0.50kN/m2 Slate Tiles = 0.70kN /m2 Rafters = 0.15kN /m2 Battens & felt = 0.10kN /m2 Total Dead = 0.95kN/m2 Main Roof (plan) PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 13 Check on double beams in Cavendish room single beam checked with half shared loading, as beams are not combined sections Analysis for simply-supported single-span beam to BCSA 11/84 TEDDS calculation version 1.0.02 Span length & partial factors for loading Span Factors for moments & forces (mm) fd fi fw 5115 1.00 1.00 Factors for deflection 1.00 dd di dw 1.00 1.00 1.00 Load descriptions Loads are applied normal to the major principal axis (x-axis) of the member. Ref. Category 1 "Dead" "1st floor" 2 "Imposed" "1st floor" 3 "Dead" "2nd floor" 4 "Imposed" "2nd floor" 5 "Dead" "wall" 6 "Dead" "roof" 7 "Imposed" "roof" Loading data (unfactored) Ref. Category Description Type Load kN/m Position mm Load kN/m Position mm 1 "Dead" UDL 1.5 0 - 5115 2 "Imposed" UDL 5.0 0 - 5115 3 "Dead" UDL 1.5 0 - 5115 4 "Imposed" UDL 5.0 0 - 5115 5 "Dead" UDL 45.5 0 - 5115 6 "Dead" UDL 3.0 0 - 5115 7 "Imposed" UDL 1.9 0 - 5115 Analysis results - entire span Ra Rb Fvy Mx kN (fac) kN (fac) kN (fac) kNm (fac) Sense 162.1 162.1 162.1 207.3 "Sagging" Deflection: EIx kNm3 Direction 564.90 "Down" Unfactored support reactions Support A; Dead load; -131.7 kN; Live load; -30.4 kN; Wind load; 0.0 kN; PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 14 Support B; Dead load; -131.7 kN; Live load; -30.4 kN; Wind load; 0.0 kN; Member design checks for a simply-supported single-span beam to BCSA 11/84 HISTORICAL SECTION DESIGN ;Try Beams To BS4 1932 10x6x40; For LCC Act 1909; SECTION PROPERTY DATA - I SECTIONS - METRIC UNITS D = 254.0 mm; B = 152.4 mm; A = 75.9 cm2; Mass = 59.5 kg/m; t = 9.1 mm; T = 18.0 mm; Ixx = 8524.4 cm4; Zxx = 671.2 cm3; rxx = 10.6 cm; Iyy = 905.7 cm4; Zyy = 118.8 cm3; ryy = 3.5 cm; STRESS DATA - METRIC UNITS pbc = 116 N/mm2; pbt = 116 N/mm2; pt = 116 N/mm2; pq = 85 N/mm2; SHEAR CAPACITY ; Fvy = 162.1 kN ;;; Av = ks t D = 2090 mm2 ; Pvy = pq Av = 178 kN Utilisation ratio; abs(Fvy)/Pvy = 0.913 PASS - Shear check MOMENT CAPACITY - FULLY RESTRAINED ; Mx = 207.3 kNm ;;; Mcx = min( pbc Zxx , pbt Zxx ) = 77.7 kNm FAIL Bending check; LTB CHECKS - BS449 1948 ;; ; Mx = 207.3 kNm Effective length; Leyy = kyy Lyy = 5115 mm Slenderness; lyy = Leyy / ryy = 148 PASS - L/r ratio <= 300 PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 15 ; Mb = pb Zxx = 70.0 kNm FAIL - Lat. tors. buckling check DEFLECTION Maximum bending deflection; = EIx / ( ES5950 Ixx ) = 32.3 mm Allowable deflection;; Lesser of span / 460 (ie 11.1 mm) and 8.0 mm FAIL - Deflection exceeds specified limit ; ; ; PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 16 Preliminary sizing of Replacement Beams in Cavendish room (assuming a lounge / dining room and not used as a dance hall) STEEL BEAM ANALYSIS & DESIGN (BS5950) In accordance with BS5950-1:2000 incorporating Corrigendum No.1 TEDDS calculation version 3.0.05 Load Envelope - Com bination 1 185.518 0.0 mm A 5150 1 B Support conditions Support A Vertically restrained Rotationally free Support B Vertically restrained Rotationally free Applied loading Beam loads self wt - Dead self weight of beam 1 1st floor - Dead full UDL 3 kN/m 1st floor - Imposed full UDL 10 kN/m 2nd floor - Dead full UDL 3 kN/m 2nd floor - Imposed full UDL 10 kN/m wall - Dead full UDL 91 kN/m roof - Dead full UDL 6 kN/m roof - Imposed full UDL 3.8 kN/m PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 17 Load combinations Load combination 1 Support A Dead 1.40 Imposed 1.60 Span 1 Dead 1.40 Imposed 1.60 Support B Dead 1.40 Imposed 1.60 Analysis results Maximum moment; Mmax = 615 kNm; Mmin = 0 kNm Maximum shear; Vmax = 477.7 kN; Vmin = -477.7 kN Deflection; max = 10.4 mm; min = 0 mm Maximum reaction at support A; RA_max = 477.7 kN; RA_min = 477.7 kN Unfactored dead load reaction at support A; RA_Dead = 271.2 kN Unfactored imposed load reaction at support A; RA_Imposed = 61.3 kN Maximum reaction at support B; RB_max = 477.7 kN; Unfactored dead load reaction at support B; RB_Dead = 271.2 kN Unfactored imposed load reaction at support B; RB_Imposed = 61.3 kN RB_min = 477.7 kN Section details Section type; 2 x UC 305x305x118 (BS4-1) Steel grade; S275 From table 9: Design strength py Thickness of element; max(T, t) = 18.7 mm Design strength; py = 265 N/mm2 Modulus of elasticity; E = 205000 N/mm2 Lateral restraint Span 1 has lateral restraint at supports only Effective length factors Effective length factor in major axis; Kx = 1.00 PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 18 Effective length factor in minor axis; Ky = 1.00 Effective length factor for lateral-torsional buckling; KLT.A = 1.00; + 2 D KLT.B = 1.20; + 2 D Classification of cross sections - Section 3.5 = [275 N/mm2 / py] = 1.02 Internal compression parts - Table 11 Depth of section; d = 246.7 mm d / t = 20.2 <= 80 ; Class 1 plastic Outstand flanges - Table 11 Width of section; b = B / 2 = 153.7 mm b / T = 8.1 <= 9 ; Class 1 plastic Section is class 1 plastic Shear capacity - Section 4.2.3 Design shear force; Fv = max(abs(Vmax), abs(Vmin)) = 477.7 kN d / t < 70 Web does not need to be checked for shear buckling Av = t D = 3774 mm2 Shear area; Pv = 0.6 N py Av = 1200.1 kN Design shear resistance; PASS - Design shear resistance exceeds design shear force Moment capacity - Section 4.2.5 Design bending moment; M = max(abs(Ms1_max), abs(Ms1_min)) = 615 kNm Moment capacity low shear - cl.4.2.5.2; Mc = N min(py Sxx, 1.2 py Zxx) = 1037.5 kNm Effective length for lateral-torsional buckling - Section 4.3.5 Effective length for lateral torsional buckling; LE = ((1.0 + 1.2) Ls1 + 2 D) / 2 = 5980 mm Slenderness ratio; = LE / ryy = 76.995 Equivalent slenderness - Section 4.3.6.7 Buckling parameter; u = 0.850 Torsional index; x = 16.169 Slenderness factor; v = 1 / [1 + 0.05 ( / x)2]0.25 = 0.827 Ratio - cl.4.3.6.9; W = 1.000 Equivalent slenderness - cl.4.3.6.7; LT = u v [W] = 54.157 Limiting slenderness - Annex B.2.2; L0 = 0.4 (2 E / py)0.5 = 34.951 LT > L0 - Allowance should be made for lateral-torsional buckling Bending strength - Section 4.3.6.5 Robertson constant; LT = 7.0 Perry factor; LT = max(LT (LT - L0) / 1000, 0) = 0.134 Euler stress; pE = 2 E / LT2 = 689.8 N/mm2 LT = (py + (LT + 1) pE) / 2 = 523.8 N/mm2 Bending strength - Annex B.2.1; pb = pE py / (LT + (LT2 - pE py)0.5) = 221.2 N/mm2 Equivalent uniform moment factor - Section 4.3.6.6 Moment at quarter point of segment; M2 = 461.3 kNm PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 19 Moment at centre-line of segment; M3 = 615 kNm Moment at three quarter point of segment; M4 = 461.3 kNm Maximum moment in segment; Mabs = 615 kNm Maximum moment governing buckling resistance; MLT = Mabs = 615 kNm Equivalent uniform moment factor for lateral-torsional buckling; mLT = max(0.2 + (0.15 M2 + 0.5 M3 + 0.15 M4) / Mabs, 0.44) = 0.925 Buckling resistance moment - Section 4.3.6.4 Mb = N pb Sxx = 866.1 kNm Buckling resistance moment; Mb / mLT = 936.3 kNm PASS - Buckling resistance moment exceeds design bending moment Check vertical deflection - Section 2.5.2 Consider deflection due to dead and imposed loads Limiting deflection;; lim = Ls1 / 400 = 12.875 mm Maximum deflection span 1; = max(abs(max), abs(min)) = 10.423 mm PASS - Maximum deflection does not exceed deflection limit PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 20 Larger existing beam in snooker room (cellar) Analysis for simply-supported single-span beam to BCSA 11/84 TEDDS calculation version 1.0.02 Span length & partial factors for loading Span Factors for moments & forces (mm) fd fi fw 5210 1.00 1.00 Factors for deflection 1.00 dd di dw 0.00 1.00 0.00 Load descriptions Loads are applied normal to the major principal axis (x-axis) of the member. Ref. Category Description 1 "Dead" "gf floor" 2 "Imposed" "gf floor" 3 "Dead" "self wt" Loading data (unfactored) Ref. Category Type Load kN/m Position mm Load kN/m Position mm 1 "Dead" UDL 2.8 0 - 5210 2 "Imposed" UDL 9.2 0 - 5210 3 "Dead" UDL 0.7 0 - 5210 Analysis results - entire span Ra Rb Fvy Mx kN (fac) kN (fac) kN (fac) kNm (fac) Sense 33.0 33.0 33.0 43.0 "Sagging" Deflection: EIx kNm3 Direction 88.26 "Down" Unfactored support reactions Support A; Dead load; -9.1 kN; Live load; -24.0 kN; Wind load; 0.0 kN; Support B; Dead load; -9.1 kN; Live load; -24.0 kN; Wind load; 0.0 kN; Member design checks for a simply-supported single-span beam to BCSA 11/84 HISTORICAL SECTION DESIGN ;Try Beams To BS4 1932 9x7x50; For LCC Act 1909; SECTION PROPERTY DATA - I SECTIONS - METRIC UNITS D = 228.6 mm; B = 177.8 mm; A = 94.9 cm2; PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 21 Mass = 74.4 kg/m; t = 10.2 mm; T = 21.1 mm; Ixx = 8661.8 cm4; Zxx = 757.9 cm3; rxx = 9.6 cm; Iyy = 1672.0 cm4; Zyy = 188.1 cm3; ryy = 4.2 cm; STRESS DATA - METRIC UNITS pbc = 116 N/mm2; pbt = 116 N/mm2; pt = 116 N/mm2; pq = 85 N/mm2; SHEAR CAPACITY ; Fvy = 33.0 kN ;;; Av = ks t D = 2090 mm2 ; Pvy = pq Av = 178 kN Utilisation ratio; abs(Fvy)/Pvy = 0.186 PASS - Shear check MOMENT CAPACITY - FULLY RESTRAINED ; Mx = 43.0 kNm ;;; Mcx = min( pbc Zxx , pbt Zxx ) = 87.8 kNm PASS Bending check; LTB CHECKS - BS449 1948 ;; ; Mx = 43.0 kNm Effective length; Leyy = kyy Lyy = 5210 mm Slenderness; lyy = Leyy / ryy = 124 PASS - L/r ratio <= 300 ; Mb = pb Zxx = 94.2 kNm PASS Lat. tors. buckling check DEFLECTION Maximum bending deflection; = EIx / ( ES5950 Ixx ) = 5.0 mm Allowable deflection;; Lesser of span / 360 (ie 14.5 mm) and 14.0 mm Pass - Deflection within specified limit ; PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 22 ; Existing Timber beam in Ramsay Bar TIMBER BEAM ANALYSIS & DESIGN TO BS5268-2:2002 TEDDS calculation version 1.7.01 Load Envelope - Com bination 1 46.453 0.0 mm A 4750 1 B Applied loading Beam loads self Dead self weight of beam 1 1st floor Dead full UDL 2.550 kN/m 1st floor Imposed full UDL 8.500 kN/m wall Dead full UDL 24.000 kN/m 2nd floor Dead full UDL 2.550 kN/m 2nd floor Imposed full UDL 8.500 kN/m Load combinations Load combination 1 Support A Dead 1.00 Imposed 1.00 Span 1 Dead 1.00 Imposed 1.00 Support B Dead 1.00 Imposed 1.00 PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 23 Analysis results Design moment; M = 131.013 kNm; Design shear; F = 110.327 kN Total load on beam; Wtot = 220.654 kN Reactions at support A; RA_max = 110.327 kN; RA_min = 110.327 kN Unfactored dead load reaction at support A; RA_Dead = 69.952 kN Unfactored imposed load reaction at support A; RA_Imposed = 40.375 kN Reactions at support B; RB_max = 110.327 kN; RB_min = 110.327 kN Unfactored dead load reaction at support B; RB_Dead = 69.952 kN Unfactored imposed load reaction at support B; RB_Imposed = 40.375 kN Timber section details Breadth of section; b = 178 mm; Depth of section; h = 482 mm Number of sections; N = 1; Breadth of beam; bb = 178 Load duration; Long term Actual depth-to-breadth ratio; 2.71 mm Timber strength class; C24 Member details Service class of timber; 1; Length of span; Ls1 = 4750 mm Length of bearing; Lb = 100 mm Lateral support - cl.2.10.8 Permiss.depth-to-breadth ratio; 2.00; FAIL - Lateral support is inadequate Check bearing stress Permissible bearing stress; c_adm = 2.400 N/mm2; Applied bearing stress; c_a = 6.198 N/mm2 FAIL - Applied compressive stress exceeds permissible compressive stress at bearing Bending parallel to grain Permissible bending stress; 19.009 m_adm = 6.821 N/mm2; Applied bending stress; m_a = N/mm2 FAIL - Applied bending stress exceeds permissible bending stress Shear parallel to grain Permissible shear stress; adm = 0.710 N/mm2; Applied shear stress; a = 1.929 N/mm2 FAIL - Applied shear stress exceeds permissible shear stress PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 24 Deflection Permissible deflection; adm = 13.995 mm; a = 29.819 Total deflection; mm FAIL - Total deflection exceeds permissible deflection ; Preliminary size for replacement beam in Ramsay bar STEEL BEAM ANALYSIS & DESIGN (BS5950) In accordance with BS5950-1:2000 incorporating Corrigendum No.1 TEDDS calculation version 3.0.05 Load Envelope - Com bination 1 69.161 0.0 mm A 4750 1 B Support conditions Support A Vertically restrained Rotationally free Support B Vertically restrained Rotationally free Applied loading Beam loads self wt - Dead self weight of beam 1 1st floor - Dead full UDL 2.55 kN/m 1st floor - Imposed full UDL 8.5 kN/m PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 25 2nd floor - Dead full UDL 2.55 kN/m 2nd floor - Imposed full UDL 8.5 kN/m wall - Dead full UDL 24 kN/m Load combinations Load combination 1 Support A Dead 1.40 Imposed 1.60 Span 1 Dead 1.40 Imposed 1.60 Support B Dead 1.40 Imposed 1.60 Analysis results Maximum moment; Mmax = 195.1 kNm; Mmin = 0 kNm Maximum shear; Vmax = 164.3 kN; Vmin = -164.3 kN Deflection; max = 10.6 mm; min = 0 mm Maximum reaction at support A; RA_max = 164.3 kN; RA_min = 164.3 kN Unfactored dead load reaction at support A; RA_Dead = 71.2 kN Unfactored imposed load reaction at support A; RA_Imposed = 40.4 kN Maximum reaction at support B; RB_max = 164.3 kN; Unfactored dead load reaction at support B; RB_Dead = 71.2 kN Unfactored imposed load reaction at support B; RB_Imposed = 40.4 kN RB_min = 164.3 kN Section details Section type; UC 254x254x89 (BS4-1) Steel grade; S275 From table 9: Design strength py Thickness of element; max(T, t) = 17.3 mm Design strength; py = 265 N/mm2 Modulus of elasticity; E = 205000 N/mm2 PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 26 Lateral restraint Span 1 has lateral restraint at supports only Effective length factors Effective length factor in major axis; Kx = 1.00 Effective length factor in minor axis; Ky = 1.00 Effective length factor for lateral-torsional buckling; KLT.A = 1.00; + 2 D KLT.B = 1.20; + 2 D Classification of cross sections - Section 3.5 = [275 N/mm2 / py] = 1.02 Internal compression parts - Table 11 Depth of section; d = 200.3 mm d / t = 19.1 <= 80 ; Class 1 plastic Outstand flanges - Table 11 Width of section; b = B / 2 = 128.2 mm b / T = 7.3 <= 9 ; Class 1 plastic Section is class 1 plastic Shear capacity - Section 4.2.3 Design shear force; Fv = max(abs(Vmax), abs(Vmin)) = 164.3 kN d / t < 70 Web does not need to be checked for shear buckling Av = t D = 2681 mm2 Shear area; Pv = 0.6 py Av = 426.3 kN Design shear resistance; PASS - Design shear resistance exceeds design shear force Moment capacity - Section 4.2.5 Design bending moment; M = max(abs(Ms1_max), abs(Ms1_min)) = 195.1 kNm Moment capacity low shear - cl.4.2.5.2; Mc = min(py Sxx, 1.2 py Zxx) = 324.3 kNm Effective length for lateral-torsional buckling - Section 4.3.5 Effective length for lateral torsional buckling; LE = ((1.0 + 1.2) Ls1 + 2 D) / 2 = 5485 mm Slenderness ratio; = LE / ryy = 83.778 Equivalent slenderness - Section 4.3.6.7 Buckling parameter; u = 0.850 Torsional index; x = 14.472 Slenderness factor; v = 1 / [1 + 0.05 ( / x)2]0.25 = 0.782 Ratio - cl.4.3.6.9; W = 1.000 Equivalent slenderness - cl.4.3.6.7; LT = u v [W] = 55.658 Limiting slenderness - Annex B.2.2; L0 = 0.4 (2 E / py)0.5 = 34.951 LT > L0 - Allowance should be made for lateral-torsional buckling Bending strength - Section 4.3.6.5 Robertson constant; LT = 7.0 Perry factor; LT = max(LT (LT - L0) / 1000, 0) = 0.145 Euler stress; pE = 2 E / LT2 = 653.1 N/mm2 PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 27 LT = (py + (LT + 1) pE) / 2 = 506.4 N/mm2 pb = pE py / (LT + (LT2 - pE py)0.5) = 217.7 N/mm2 Bending strength - Annex B.2.1; Equivalent uniform moment factor - Section 4.3.6.6 Moment at quarter point of segment; M2 = 146.3 kNm Moment at centre-line of segment; M3 = 195.1 kNm Moment at three quarter point of segment; M4 = 146.3 kNm Maximum moment in segment; Mabs = 195.1 kNm Maximum moment governing buckling resistance; MLT = Mabs = 195.1 kNm Equivalent uniform moment factor for lateral-torsional buckling; mLT = max(0.2 + (0.15 M2 + 0.5 M3 + 0.15 M4) / Mabs, 0.44) = 0.925 Buckling resistance moment - Section 4.3.6.4 Mb = pb Sxx = 266.4 kNm Buckling resistance moment; Mb / mLT = 288 kNm PASS - Buckling resistance moment exceeds design bending moment Check vertical deflection - Section 2.5.2 Consider deflection due to dead and imposed loads Limiting deflection;; Maximum deflection span 1; lim = Ls1 / 360 = 13.194 mm = max(abs(max), abs(min)) = 10.645 mm PASS - Maximum deflection does not exceed deflection limit ; PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 28 Staircase check ( assuming 4KN/m2 imposed loading for hotel / fire escapes) Load assumed distributed equally to the 3 stringers. 1200mm wide stair flight. TIMBER BEAM ANALYSIS & DESIGN TO BS5268-2:2002 TEDDS calculation version 1.7.01 Load Envelope - Com bination 1 0.684 0.0 mm A 5000 1 B Applied loading Beam loads self Dead self weight of beam 1 dead Dead full UDL 0.200 kN/m imp Imposed full UDL 0.444 kN/m Load combinations Load combination 1 Support A Dead 1.00 Imposed 1.00 Span 1 Dead 1.00 Imposed 1.00 Support B Dead 1.00 Imposed 1.00 PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 29 Analysis results Maximum moment; Mmax = 2.137 kNm; Mmin = 0.000 kNm Design moment; M = max(abs(Mmax),abs(Mmin)) = 2.137 kNm Maximum shear; Fmax = 1.709 kN; Design shear; F = max(abs(Fmax),abs(Fmin)) = 1.709 kN Total load on beam; Wtot = 3.419 kN Reactions at support A; RA_max = 1.709 kN; Unfactored dead load reaction at support A; RA_Dead = 0.599 kN Unfactored imposed load reaction at support A; RA_Imposed = 1.110 kN Reactions at support B; RB_max = 1.709 kN; Unfactored dead load reaction at support B; RB_Dead = 0.599 kN Unfactored imposed load reaction at support B; RB_Imposed = 1.110 kN Fmin = -1.709 kN RA_min = 1.709 kN RB_min = 1.709 kN Timber section details Breadth of sections; b = 76 mm Depth of sections; h = 127 mm Number of sections in member; N=1 Overall breadth of member; bb = N b = 76 mm Timber strength class; C24 Member details Service class of timber; 1 Load duration; Long term Length of span; Ls1 = 5000 mm Length of bearing; Lb = 100 mm The beam is part of a load-sharing system consisting of four or more members Section properties Cross sectional area of member; A = N b h = 9652 mm2 Section modulus; Zx = N b h2 / 6 = 204301 mm3 Zy = h (N b)2 / 6 = 122259 mm3 Second moment of area; Ix = N b h3 / 12 = 12973092 mm4 Iy = h (N b)3 / 12 = 4645829 mm4 Radius of gyration; ix = (Ix / A) = 36.7 mm iy = (Iy / A) = 21.9 mm Modification factors Duration of loading - Table 17; K3 = 1.00 Bearing stress - Table 18; K4 = 1.00 Total depth of member - cl.2.10.6; K7 = (300 mm / h)0.11 = 1.10 Load sharing - cl.2.9; K8 = 1.10 PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 30 Lateral support - cl.2.10.8 No lateral support Permissible depth-to-breadth ratio - Table 19; 2.00 Actual depth-to-breadth ratio; h / (N b) = 1.67 PASS - Lateral support is adequate Compression perpendicular to grain Permissible bearing stress (no wane); c_adm = cp1 K3 K4 K8 = 2.640 N/mm2 Applied bearing stress; c_a = RB_max / (N b Lb) = 0.225 N/mm2 c_a / c_adm = 0.085 PASS - Applied compressive stress is less than permissible compressive stress at bearing Bending parallel to grain Permissible bending stress; m_adm = m K3 K7 K8 = 9.068 N/mm2 Applied bending stress; m_a = M / Zx = 10.459 N/mm2 m_a / m_adm = 1.153 FAIL - Applied bending stress exceeds permissible bending stress Shear parallel to grain Permissible shear stress; adm = K3 K8 = 0.781 N/mm2 Applied shear stress; a = 3 F / (2 A) = 0.266 N/mm2 a / adm = 0.340 PASS - Applied shear stress is less than permissible shear stress Deflection Modulus of elasticity for deflection; E = Emin = 7200 N/mm2 Permissible deflection; adm = min(0.551 in, 0.003 Ls1) = 13.995 mm Bending deflection; b_s1 = 59.572 mm Shear deflection; v_s1 = 0.590 mm Total deflection; a = b_s1 + v_s1 = 60.162 mm a / adm = 4.299 FAIL - Total deflection exceeds permissible deflection ; PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 31 Preliminary strengthening staircases with 2no additional steel stringers per flight. (exact dimensions of each flight required to confirm beam sizes) STEEL BEAM ANALYSIS & DESIGN (BS5950) In accordance with BS5950-1:2000 incorporating Corrigendum No.1 TEDDS calculation version 3.0.05 Load Envelope - Com bination 1 3.613 0.0 mm A 5000 1 B Support conditions Support A Vertically restrained Rotationally free Support B Vertically restrained Rotationally free Applied loading Beam loads self - Dead self weight of beam 1 staircase - Dead full UDL 0.36 kN/m stair 4kn/m2 - Imposed full UDL 1.78 kN/m Load combinations Load combination 1 Support A Dead 1.40 Imposed 1.60 Span 1 Dead 1.40 PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 32 Imposed 1.60 Support B Dead 1.40 Imposed 1.60 Analysis results Maximum moment; Mmax = 11.3 kNm; Mmin = 0 kNm Maximum shear; Vmax = 9 kN; Vmin = -9 kN Deflection; max = 5.2 mm; min = 0 mm Maximum reaction at support A; RA_max = 9 kN; RA_min = 9 kN Unfactored dead load reaction at support A; RA_Dead = 1.4 kN Unfactored imposed load reaction at support A; RA_Imposed = 4.5 kN Maximum reaction at support B; RB_max = 9 kN; Unfactored dead load reaction at support B; RB_Dead = 1.4 kN Unfactored imposed load reaction at support B; RB_Imposed = 4.5 kN RB_min = 9 kN Section details Section type; UB 178x102x19 (BS4-1) Steel grade; S275 From table 9: Design strength py Thickness of element; max(T, t) = 7.9 mm Design strength; py = 275 N/mm2 Modulus of elasticity; E = 205000 N/mm2 Lateral restraint Span 1 has lateral restraint at supports only Effective length factors Effective length factor in major axis; Kx = 1.00 Effective length factor in minor axis; Ky = 1.00 Effective length factor for lateral-torsional buckling; KLT.A = 1.20; + 2 D KLT.B = 1.20; + 2 D PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 33 Classification of cross sections - Section 3.5 = [275 N/mm2 / py] = 1.00 Internal compression parts - Table 11 Depth of section; d = 146.8 mm d / t = 30.6 <= 80 ; Class 1 plastic Outstand flanges - Table 11 Width of section; b = B / 2 = 50.6 mm b / T = 6.4 <= 9 ; Class 1 plastic Section is class 1 plastic Shear capacity - Section 4.2.3 Design shear force; Fv = max(abs(Vmax), abs(Vmin)) = 9 kN d / t < 70 Web does not need to be checked for shear buckling Shear area; Av = t D = 853 mm2 Design shear resistance; Pv = 0.6 py Av = 140.8 kN PASS - Design shear resistance exceeds design shear force Moment capacity - Section 4.2.5 Design bending moment; M = max(abs(Ms1_max), abs(Ms1_min)) = 11.3 kNm Moment capacity low shear - cl.4.2.5.2; Mc = min(py Sxx, 1.2 py Zxx) = 47.1 kNm Effective length for lateral-torsional buckling - Section 4.3.5 Effective length for lateral torsional buckling; LE = 1.2 Ls1 + 2 D = 6356 mm Slenderness ratio; = LE / ryy = 267.744 Equivalent slenderness - Section 4.3.6.7 Buckling parameter; u = 0.888 Torsional index; x = 22.560 Slenderness factor; v = 1 / [1 + 0.05 ( / x)2]0.25 = 0.594 Ratio - cl.4.3.6.9; W = 1.000 Equivalent slenderness - cl.4.3.6.7; LT = u v [W] = 141.128 Limiting slenderness - Annex B.2.2; L0 = 0.4 (2 E / py)0.5 = 34.310 LT > L0 - Allowance should be made for lateral-torsional buckling Bending strength - Section 4.3.6.5 Robertson constant; LT = 7.0 Perry factor; LT = max(LT (LT - L0) / 1000, 0) = 0.748 Euler stress; pE = 2 E / LT2 = 101.6 N/mm2 LT = (py + (LT + 1) pE) / 2 = 226.3 N/mm2 Bending strength - Annex B.2.1; pb = pE py / (LT + (LT2 - pE py)0.5) = 73.7 N/mm2 Equivalent uniform moment factor - Section 4.3.6.6 Moment at quarter point of segment; M2 = 8.5 kNm Moment at centre-line of segment; M3 = 11.3 kNm Moment at three quarter point of segment; M4 = 8.5 kNm Maximum moment in segment; Mabs = 11.3 kNm Maximum moment governing buckling resistance; MLT = Mabs = 11.3 kNm PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 34 Equivalent uniform moment factor for lateral-torsional buckling; mLT = max(0.2 + (0.15 M2 + 0.5 M3 + 0.15 M4) / Mabs, 0.44) = 0.925 Buckling resistance moment - Section 4.3.6.4 Mb = pb Sxx = 12.6 kNm Buckling resistance moment; Mb / mLT = 13.7 kNm PASS - Buckling resistance moment exceeds design bending moment Check vertical deflection - Section 2.5.2 Consider deflection due to imposed loads Limiting deflection;; Maximum deflection span 1; lim = Ls1 / 360 = 13.889 mm = max(abs(max), abs(min)) = 5.211 mm PASS - Maximum deflection does not exceed deflection limit PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 35 Photographs Front Elevation – rebuild central two bays and mid wall on piled foundations Front Elevation – Distortion to stone bays at 2nd floor. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 36 Front Elevation – Distortion to stone bays Front Elevation – crack to stone lintel PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 37 Right hand gable elevation. Underpin bay PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 38 Right hand gable elevation. Cracked lintels to be replaced Right hand gable - Distortion of rear part of the gable wall behind the bay window. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 39 Rear – right hand section of wall PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 40 Rear right hand section of wall – crack stitch repair required. Rear Elevation Central ‘infill’ extension PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 41 Rear elevation – left hand SW extension. Underpinning required to rear wall. Pattress plates are not effective as not at floor level. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 42 Rear Elevation – wall above the flat roof has a significant outward lean. Lateral Restraint required at 2nd floor level and into the dividing wall between bedroom 1 and 9. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 43 Cellar Snooker Room – steel beams at bearing position. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 44 Bowing rear right hand section of wall in Ramsays bar. Distortion to timber beam in Ramsay bar. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 45 Timber beam bearing exposed in Ramsay bar. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 46 Steel double beams in Cavendish room to be replaced PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 47 Bedroom 10 cracking across ceiling above the RHS gable bay window Crack in separating wall between Bedroom 1 and 9 PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 48 Ceiling cracking across bedroom 12 front bay window Bedroom 12 – lateral distortion visible to wall. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 49 Bedroom 11 evidence of movement around bay PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 50 Bedroom 23 – crack in dividing wall between bedrooms due to front wall pulling away. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 51 Crack in Bedroom 6a solid wall to bathroom Crack in Bedroom wall due to lateral movement of external wall. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 52 Limitations of the Report The contents of this report does not cover the condition of the dpc, possible damp penetration, condensation or the condition of the timber components with regard to rot and infestation. We will not inspect building services (gas, electricity, water, heating), manholes and drainage systems, garages and other outbuildings, the boundary structures, retaining walls, paths and drives, windows, doors and other joinery items, internal and external décor / plaster / ceiling finishes, rainwater goods, kitchens and bathrooms or any areas without ready access. The report should not be construed as a valuation or homebuyers report and is not an inventory of every single defect, some of which would not significantly affect the use of the property. If the report does refer to some minor defects, this does not imply that the building is free from other such defects. This report is restricted to a visual inspection and no mechanical testing of any kind was carried out, nor any precise measurement taken. We did not expose any other part of the structure that was covered, unexposed or inaccessible and this includes pulling up laid carpets etc, or loft areas without ready & safe access. We are therefore unable to report that any such part of the property that is covered is free from defect. Any opinions expressed in this report, as to the likely occurrence of settlement or subsidence cracking etc is given in good faith in an attempt to assist our client. However, where such opinion is that further movement is unlikely, this should not be taken as a guarantee. It is therefore important to understand the opinions expressed in this report reflect the limitations of this type of visual inspection. The above is not intended to be an exhaustive list of minor defects. They are purely significant structural defects apparent from a visual inspection. Further defects may be encountered upon more extensive investigation, involving exposure of structural elements etc. Rights of Originator This report is for the sole use of the client, their Mortgage Company or insurance company and is only applicable to the property (or part of the property) inspected. It must not be reproduced or transferred to any other third party without the express written consent of PKD Consulting Engineers Ltd. The report can be shown to builders/workmen when requiring quotations and for reference during any remedial works required. All contractors must have adequate Public Liability insurance and be fully experienced in the type of repairs specified. We will consider the re-issue of the report in its original form to a third party within 6 months of the original report date. Upon the lapse of a 6 month period, the report can only be re-issued following a full re-inspection, which will attract a full inspection fee. We reserve the right to refuse copies of the report to any third party (other than those named above). We also reserve the right to amend our opinions in the event of additional information being made available at some future date. PKD Consulting Engineers Ltd PO Box 250, Orient House, Bramhall Lane South, Bramhall, Stockport, Cheshire, SK7 0BA www.pkdconsultingengineers.co.uk Telephone 0161 440 0372 53