An-Najah National University Engineering & IT Faculty Civil Engineering Department Structural Design of the Faculty of Allied Medical Sciences in Arab American University –Jenin By: Ra’fat Abo Morad Yazan Abo Tahnat (11107047) (11106029) Under supervision of : Dr.Suhaib Salawdeh 1 Outline: Introduction. Gravity and Lateral loads. 3D modeling using SAP. Design of Slab. Design of Beams. Design of Columns and Shear walls. Design of Footings and Ground Beams. 2 3 The Faculty of Allied Medical Sciences 4 • Location : Zababdeh – Jenin • 4 Floors: Basement , 1st ,2nd , and 3rd floors. • Floor area : 1713 m² • Total Area : 6852 m² 5 • Floors consists: Offices. Lecture’s halls. Laboratory. Meeting rooms. Mechanical and Electrical rooms. 6 Codes • ACI 318-11 (American Concrete Institute) • IBC-2012 (International Building Code) • UBC-97 (Uniform Building Code) • ASCE-2010 (American Society of Civil Engineers). • Israeli Standards SI 413 • Jordanian National Building Code. 7 8 9 Block 1: Block 2: Floor live load (KN/m^2) super imposed dead load (KN/m^2) Basement 5 5 Ground 5 5 First 5 5 Second 1 0.5 Staircase 1 2.5 Floor live load (KN/m^2) super imposed dead load (KN/m^2) Basement 2.5 7 Ground 2.5 7 First 2.5 7 Second 1 0.5 The perimeter walls have a superimposed load equal to 5.5 kN/m². 10 11 • Moment resisting frame system ( Intermediate Reinforced Concrete Moment Frames) Center of mass: 12 𝑋′ = 0.25∗11019.4∗16.532 + (81784.57∗19.05) 0.25∗11019.4+81583.32 = 19.01 𝑚. 𝑌′ = 0.25∗11019.4∗16.613 + (81583.32∗15.84) 0.25∗11019.4+81583.32 = 15.86 𝑚. 𝑋 ′′ = 17.90 𝑚 𝑌 ′′ = 15.65 𝑚 Eccentricity: ex = 1.11 m. , ey = 0.21 m. 13 SDS=2/3*SMS R SMS= Fa * Ss System Ss= 2.5 *Z Z→ site class(B)→ soil type Fa→ site class(B), Ss I Risk category (III) Use of Buildings and Structures Response spectrum 14 • A response spectrum is a plot of the maximum response amplitude (displacement, velocity, or acceleration) versus the modal period Seismic design factors R= Modification factor Cd= Deflection Amplification Factor 15 16 Block 2 Code Value of base shear (Hand Calc.)(kN) IBC-2012& Israeli code 6473.74 UBC-97 6005.76 IBC-2012& ASCE-website 13805.44 Load combinations U = 1.4D U = 1.2D + 1.6L + 0.5(Lr or S or R) U = 1.2D + 1.6(Lr or S or R) + (1.0L or 0.5W) U = 1.2D + 1.0W + 1.0L + 0.5(Lr or S or R) U = 1.2D + 1.0E + 1.0L + 0.2S U = 0.9D + 1.0W U = 0.9D + 1.0E 17 18 Modifiers for each element Element Modifier Column 0.7 Beam 0.35 Slab 0.35 Shear wall 0.7 19 20 21 22 Strength check Shear & torsion Rebar percentage No red elements No problems All is okay Compatibility of structural model 23 Equilibrium 24 Load type Hand results kN SAP results kN Difference % Dead 53098 52275.99 1.57 SD 29337.56 29260.97 0.26 Live 11014.5 11019.4 0.045 Stress Strain relationship (internal equilibrium) Slab moments 3.86+3.91 + 2 2.62 = 6.51 KN. m wu L2 7 ∗ 2.82 = = 6.86 KN. m 8 8 The difference percentage is 5.1 %, which is less than 10%, OK. 25 Beams moments 𝑀𝑆𝐴𝑃 = M= 273.5385 + 257.5757 + 161.1287 = 426.73 𝐾𝑁. 𝑚 2 wu L2 8 = 22.4∗12.82 8 = 458.7 KN. m The difference percentage is 6.97%, which is less than 10%, OK. 26 27 Lateral loads check Seismic load, IBC Direction Hand calculation base Sap base shear (kN) shear(kN) X 6473.74 7024 Y 6473.74 7024 Period and modal participation ratio 28 29 Structural period( hand calculation) 𝑇 = 2𝜋 2 𝑛 𝑖=1 𝑓𝑖 Δ𝑖 𝑔 𝑛 𝑖=1 𝑓𝑖 Δ𝑖 Floor 30 ASCE, Equation 15.4-6 Area (𝒎𝟐) Mass (ton) Δ (𝒎) Δ𝟐 (𝒎𝟐) Force ( Force* Δ 𝒌 Mass*Δ𝟐 𝒕𝒐 𝒌𝑵) 𝑵.𝒎 𝒏.𝒎𝟐 Basement 946 2325 0.0001397 1.9488E-6 946 0.13206 4.11E-05 Ground 946 2325 0.0003317 1.1002E-7 946 0.313788 2.21E-04 First 946 2325 0.0005087 2.591 E-7 946 0.451514 4.77E-04 Second 946 1658.26 0.0006495 4.212E-7 946 0.5566644 5.11E-04 𝑇𝑥=0.182 Sec 0.182−0.179∗100% 𝐸𝑟𝑟𝑜𝑟 % = = 1.648 % 0.182 31 • Solid slab. • Thickness = 17 cm. • Shear on slab: Max Vu = 46.27 kN ∅Vc = 86 kN 86 >46.27, so, shear is OK 32 • Steel reinforcement: Using a uniform steel mesh with 4Ø12/ 1m (Top and Bottom) for all floors and roof. 𝛷𝑀𝑛 = 𝛷 𝐴𝑠𝑓𝑦(𝑑) −6 50+7.98 Φ𝑀𝑛 = (0.9)(113 ∗ 4)(420)(170 − )(10 ) 2 = 24 𝑘𝑁. 𝑚/𝑚 (Negative and possitive) • When the moment exceeds 24 kN.m/m , use 8Ø12/ 1m (Top and Bottom) 33 • My : All moment less than 24 kN.m/m 34 • Mx : double the mesh in 3 spans 35 36 37 All beams are drop beams. Beams 1. 2. 3. 4. 5. in structure classified to: Beam 1-A (B1-A) : (600/600). Beam 1-B (B1-B) : (600/600). Beam 2 (B2) : (800/600). Beam 3 (B3) : (600/500). Beam 4 (B4) : (1250/200). 38 39 ACI318-11 Code requirements: The value of moment and shear 40 computed by taking twice the earthquake load in the load combinations. The first hoop shall be located not more than 50 mm from the face of a supporting member. d 4 S1 = min 𝑆2 = 𝑑 2 . 8 db 24ds 300 mm • Equations: For flexure ρ= 0.85fc′ 2.61 Mu 1− 1− fy bd2 fc′ As = ρbd For shear and torsion Vc = ρmin fc′ bd = At Tu = S 2A° Fyt A° = 0.85Aoh Vu bd Vs fyt d Av+T S 0.35 + 2 + Al = 0.062 fc′ min Vu bd Av+T Av+T S = max 2 Tu Ph 1.7A2oh 2 ≤ ∅ 5 6 fc′ A2cp 1 1 ′ 𝑇𝑡ℎ = ∅Tcr = λ∅ fc 4 12 Pcp Av+t Av At = +2 S S S S= A2cp 1 1 ∅Tcr = λ∅ fc′ 4 12 Pcp 𝑇𝑡ℎ = Vu = Vc + Vs ∅ Av S 1.4 0.25 fc′ = max , fy fy 1 λ 6 41 b fy b fy Al,min = Tu Ph 1.7A2oh ≤ ∅ 5 6 fc′ fyt At Ph S fy 5 fc′ A − 12fy cp At S 2 fyt At Ph S fy = 0.175 min b fyt 42 Beam ID Dimension(h/d) B1-A (600/600) B1-B 600/600 B2 B3 B4 (800/600) (600/500) (1250/200) Longitudinal Steel Top Mid Bottom Top Mid Bottom Top Mid Bottom Top Mid Bottom Top Mid Bottom 5Ø25 4Ø22 5Ø25 3Ø22 2Ø16 3Ø22 5Ø32 6Ø22 3Ø32 3Ø22 4Ø16 3Ø22 3Ø22 8Ø16 3Ø22 transverse steel until 2h(S1) transverse steel (S2) 9Ø10/m 5Ø10/m 9Ø10/m 5Ø10/m 8Ø10/m 6Ø10/m 9Ø10/m 5Ø10/m 6Ø12/m 6Ø12/m 43 Beams sections: (On Face of Joints) 44 • Frames longitudinal sections: 45 46 47 Two columns in the project: 48 1. C1: (450x450), 22 columns. 2. C2: (550x550), 36 columns. Design methodology:- The design based on taking the critical edge, intermediate, and corner columns of C1 and C2. Drawing the interaction diagram for C1 and C2. Using SAP to get the axial force and moments on each column. Choosing the proper steel ratio. Determining the spacing between hoops. ACI318-11 code requirements: The value of moment and shear computed by taking 3 times the earthquake load in the load combinations. Hoops Equations (ACI318-11): least column dimension 2 Sο = min 8db 24ds 300 mm least column dimension 16db S1 = min 48ds clear height of column/6 Lο = max maximum column dimension 450 mm 49 50 51 Colum ID Zone Dimensions (m) Pu (kN) Mu (kN.m) Vu(kN) C8 A 0.45 x 0.45 1860 138 84 C11 A 0.45 x 0.45 2038 95 43 C19 A 0.45 x 0.45 2407 11 24 C39 B 0.55 x 0.55 3092 328 325 C55 B 0.55 x 0.55 3554 151 57 C58 B 0.55 x 0.55 3688 60.5 65 3500 52 3000 2500 C11 C19 2000 C8 ΦFU 1500 1000 500 0 -500 -1000 0 50 100 150 ΦMD 200 250 300 The distribution of (M,P) point for checked 450mm-square columns on C1 interaction diagram 5000 53 4000 C58 C39 C55 3000 ΦFU 2000 1000 0 -1000 -2000 0 100 200 300 ΦMD 400 500 600 The distribution of (M,P) point for checked 550mm-square columns on C2 interaction diagram Using a steel ratio of 1% is safe and economical for all columns. The longitudinal steel is: 8 ∅ 18 for C1 (450 x 450). 12 ∅ 18 for C2 (550 x 550). 54 Hoops: For All columns: provide 8 Ø10/m at a distance of 0.7 m from the top and bottom joints of columns, and 5 Ø10/m on mid of column. Start with hoops at a distance of 5 cm from the face of supports. Provide a lap splice length = 0.7 m. The splicing of bars is made on the middle of columns. 55 Hoops in column (∅10/m) 56 57 Design of shear wall 6 : 58 Minimum reinforcement in shear walls according to ACI318-11 Minimum ratio of vertical reinforcement area area, ρ, shall be: 0.0012 for deformed bars not larger than 16mm in diameter with Fy not less than 420 MPa. Minimum ratio of horizontal reinforcement area, ρ, shall be: 59 0.002 for deformed bars not larger than 16mm in diameter with Fy not less than 420 MPa. Vertical and horizontal reinforcement shall not be spaced farther apart than three times the wall thickness, nor farther apart than 450 mm. Equations: Compressive strength:∅𝑃𝑛 = 𝑇ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠 𝑏 ≥ ℎ 25 𝐿 25 100𝑚𝑚 𝑀𝑢𝑦 𝐴𝑠 = ∅𝑓 Vc = Vu ∅ = Vc + Vs Av S = 𝑉𝑠,𝑚𝑎𝑥 = 4𝑉𝑐 𝑦 (𝑑−𝑑 1 λ 6 ′) fc′ bd Vs fyt d 0.55∅𝑓𝑐′ 𝐴𝑔 1− 𝑘𝑙𝑐 2 32ℎ 60 Length of SW6 = 6.4 m. Thickness of SW6 = 0.35 m 350 𝑚𝑚 ≥ 61 (assumed previously) ℎ 4160 = = 166.4𝑚𝑚 25 25 𝐿 6400 = = 256 𝑚𝑚 25 25 …. The thickness is accepted 100𝑚𝑚 • Using SAP : SW ID Pu (kN) Mux (kN.m) Muy (kN.m) Vu (kN) SW6 7718 20150 147 2810 Use total cover = 40 mm. Vc = 11853 𝑘𝑁 Vu ∅ = 2810 0.75 Vu ∅ 62 = 3746 𝑘𝑁 , therefore, use the minimum horizontal steel according to ACI318-11: Vc > As,horizontal = 0.002 350 1000 = 700 𝑚𝑚2 Then, for each face of wall, As,horizontal = 700 2 = 350 𝑚𝑚2 → use 1Ø10/250 mm 0.50% 30000 0.75% 1% 63 25000 20000 ØPn 15000 10000 SW6 (20150,7718) 5000 0 -5000 -10000 0 5000 10000 15000 ØMnx 20000 25000 30000 35000 𝐴𝑠,𝑙𝑜𝑛𝑔.1 = 0.75% 6400 350 = 16800 𝑚𝑚2 on the two sides. 𝐴𝑠,𝑙𝑜𝑛𝑔.2 = 𝑀𝑢𝑦 ∅𝑓𝑦 (𝑑−𝑑 ′ ) = 147(106 ) 0.9 420 (310−40) 64 = 1440 𝑚𝑚2 on each side. The total longitudinal steel in SW6 for each side = → Use 1Ø18/20cm, or 6Ø18mm/1m. 16800 2 + 1440 = 9840 𝑚𝑚2 65 66 Soil type : Rock. Allowable Bearing Capacity: 300 kN/m² Grouping of footings are shown in table below: Footing ID Type Number of footing dimensions (LxB) under column/wall F1 single 5 150 X 150 C2,C10,C13,C14,C56 F2 single 12 200 X 200 F3 single 10 230 X 230 C3, C4, C5, C6, C9, C21, C31, C32, C33, C35, C40, C51 C7,C8, C18, C20, C25, C30, C41, C48, C57,C58 F4 single 3 250 X 250 C19, C34, C45 F5 wall 2 1010 X150 SW1 , C1, C12, SW2 , C11, C22 F6 wall 1 760 X 200 SW9,C15,C16,C17 F7 wall 1 800 X 180 SW8 ,C43,C46,C49 F8 wall 1 800 X 220 SW6, C44,C47,C50 F9 wall 1 1160 X 250 SW7,C52,C53,C54,C55 F10 wall 1 400 X 250 SW5,C42 F11 Combined 1 400 X 200 C26,C27 F12 Continuous 1 1240 X 300 SW4,C36,C37,C38,C39 F13 Mat 1 1160 X 670 SW3 ,C32,C24,C28,C29 67 Design of Footing F4 68 Maximum load on F4 comes from C19. Column ID Footin g ID Column Dim. Footing Dim. Dead Load Live load (kN) C19 F4 0.45 x 0.45 2.5 x 2.5 1335 277 Service load(k N) Ultimate load(1.2D+1.6L ) (kN) Ultimate load(1.4D) (kN) 1612 2045.2 1869 Column ID Footing ID Column Dim. Footing Dim. Dead Moment(k N.m) C19 F4 0.45 x 0.45 2.5 x 2.5 31.8 Live Service Moment(k load(kN N.m) .m) 4.7 36.5 Ultimate Moment (kN.m) 45.68 69 Footing ID Qmax (kN/m²) F4 344.7 Mu (kN.m) ∅Vc (kN) Vu (kN) ∅Vp (kN) Vpu (kN) 181.11 396.86 146.53 1666.8 1626.8 Thicknes s(m) As(mm²) 0.65 1170 Bottom Steel Top steel 6 ∅ 16 / m (15 bars along 2.5 m) 6 ∅ 12 / m (15 bars along 2.5 m) Cross section in F4 70 71 Ground beams: 72 - GB1 : (650/450). - GB2 : (650/550). Design philosophy: By applying a 2 mm displacement at a joint under a footing that have the tallest ground beam. Then, determine the area of steel by using a half of steel ratio resulting from the moment. GB ID Mu (kN.m) Vu (kN) Top steel Mid steel Top steel Transverse steel GB1 982 516 3 ∅ 18 4 ∅ 18 4 ∅ 18 9 ∅ 10 / m GB2 982 516 3 ∅ 18 4 ∅ 18 3 ∅ 18 9 ∅ 10 / m 73 74