CHAPTER 1 TYPES OF STRUCTURE & LOADS EAT 251 STRUCTURAL THEORY Introduction ● Structural analysis is the analysis of a given structure subject to some given loads in order to predict the response of the structure system. ● The structural analysis is the application of solid mechanics to predict the response such as forces and displacement of a given structure which are subjected to a specified load. Types of Structures Frame structure – are composed of beams and columns that are connected either pin or fixed Truss structure – consist of slender elements can resist axial tensile or compressive forces Surface structure – made from a material having a very small thickness compare to its other dimensions Arch structure – support their loads in compression Cables – support their loads in tension Types of Structures STEEL STRUCTURES TRUSS SYSTEM CABLE ARCH Classification of Structures Structural elements can be tie rod, beams, columns Types of Loads Loads are classified into 2 parts : a) Dead loads (Gk) -Self-weight of the structure components - weight of objects that are permanently attached to the structure b) Imposed loads and forces (Qk) -Live, wind, snow, lateral loads and others. - Weight of temporary objects such as moving vehicle, natural forces Types of Loads Wind load (Wk) - Occur when structures block the flow of wind - Cause by the conversion of wind’s kinetic energy into potential energy of pressure and known as wind load Snow Load Earthquake Load Other Natural Loads (temperature change, blast effect and foundation settlement LOAD COMBINATIONS Dead Load, Gk (1.4 x dead load) = 1.4Gk Dead, Gk and wind Load, Wk (0.9 x dead load) + (1.4 x wind load) = 0.9Gk + 1.4 Wk Dead, imposed and snow load (1.2 x dead load + (1.6 x live load) + (0.5 x snow load) = (1.2Gk + 1.6Qk + 0.5Wk) Dead load and earthquake load (0.9 x dead load) + (1.0 x earthquake load) Data for Loading Calculation Reduced Live Load For some types of buildings having very large floor areas, many codes will allow a reduction in the uniform live load for a floor, since it is unlikely that the prescribed live load will occur simultaneously throughout the entire structure at any one time. The reduction live load can be made if influence area, KLLAt > 37.2m2 (proposed by ASCE-7). Example 1.1 The floor beam in Figure Eg. 1.1 is used to support the 1.8m width of a lightweight plain concrete slab having a thickness of 100mm. The slab serves as a portion of the ceiling for the floor below and therefore its bottom is coated with plaster. Furthermore, a 3m high, 300mm thick lightweight solid concrete block wall is directly over the top flange of the beam. Determine the loading on the beam measured per meter of length for the length of the beam. Figure Eg.1.1 Solution 1.1 Example 1.2 A 2-storey office building shown in the Figure Eg. 1.2 has interior columns that are spaced 6.6m apart in two perpendicular directions. If the (flat) roof loading is 0.96kN/m2, determine the reduced live load supported by a typical interior column located at ground level. . Figure Eg. 1.2 Solution 1.2 Wind Loads When the speed of the wind is very high, it can cause massive damage to structure. To understand the effect of horizontal wind blowing over and around of building, figure below can be considered. Wind Loads ● Wind pressure is the force per square metre on the building ● Wind pressure for building :a) External pressure b) Internal pressure Surface L/B Cp Use with Wind Windward Leeward Windward wall All values 0.8 qz direction angle ϴ angle Leeward 0–1 -0.5 qh wall 2 -0.3 ≥4 -0.2 All values -0.7 Side Walls Wall pressure coefficients, Cp ***refer page 36 in text book qh h/L 10° ϴ = 10° Normal to ≤0.25 -0.7 -0.3 ridge 0.5 -0.9 -0.5 > 1.0 -1.3 -0.7 Maximum negative roof pressure coefficients, Cp for use with qh ***refer Fig 1-13 page 37 in text book P = qGC Where; q = basic pressure at the height of 10m Where; P = wind pressure G = gust factor (0.85) C = shape factor q = 0.613KzKztKdKeV2 (q in N/m2 and V in m/s) V = velocity of a 3 seconds gust of wind measured 10m above the ground during a 50-year recurrence period. Normal basic wind load is 47m/s (for storage building) unless is stated. Kz =The velocity pressure exposure coefficient, which is a function of height and depends upon the ground terrain. Table 1-5 lists values for a structure which is located in open terrain with scattered low-lying obstructions. Kzt = a factor that accounts for wind speed increases due to hills and escarpments, for flat ground Kzt = 1 Kd = a factor that accounts for the direction of the wind. It is used only when the structure is subjected to combinations of loads. For wind acting alone, Kd = 1 Ke = a ground elevation factor, for conservative design use Ke = 1.0 Coefficients P = qGCp q = 0.613KzKztKdV2I (q in N/m2 and V in m/s) Where; Cp = a wall or roof pressure coefficient qz = windward wall qh = Leeward wall P = qGCp q = 0.613KzKztKdKeV2 (q in N/m2 and V in m/s) Where; G = 0.85 Kzt = 1 for flat area Elevation Plan Cp refer Figure 1-13 in textbook ▪ Internal Pressure for Enclosed Building 0.85qh 0.85qh ▪ Internal Pressure for Partially Open Building 0.55qh 0.55qh Total Wind Pressure on the Main Wind-Resisting Frame System for Enclosed Building qhGC p qhGC qhGC p p qhGC qzGC p p 0.85qh 0.85qh Ph Ph Ph Ph Pz Ph Pz Ph Design wind pressure for enclosed buildings P = qGCp-qh(GCpi) (Eq. 1-3) qz = 0.613KzKztV2 (q in N/m2 and V in m/s) Where; GCpi = ±0.18 for enclosed building GCpi = ±0.55 for partially enclosed building GCpi = 0 for open building q = qz for windward wall at height z (refer Eq. 1-2) = qh for leeward walls, side walls and roof; where z = h (mean height of the roof) Cp = a wall or roof pressure coefficient determine from table. –ve value indicate pressures acting away from the surface Example 1.3 The enclosed building as shown in Figure Eg. 1.3, is used for storage purposes and is located outside of Chicago, Illinois on open flat terrain. When the wind is directed as shown, determine the design wind pressure acting on the roof and sides of the building using the ASCE 7-10 Specifications. Figure Eg.1.3 Solution:Basic wind speed, V = 47m/s For flat terrain, Kzt = 1.0 Consider only wind load, Kd = 1.0 Using eq. 1-2 ; qz = 0.613KzKztKeV2 (q in N/m2 and V in m/s) = 0.613 x Kz x 1.0 x 1.0 x (47)2 = 1354Kz From Figure 1-13 (a), h’ = 22.5 tan 10° = 3.97m Thus, the mean height of the roof is h = 7.5 + 3.97/2 = 9.48m By using interpolation method of pressure profile values listed in Table 1.5 z = h = 9.48m Z (m) Kz/z 0-4.6 0.85 6.1 0.90 7.6 0.94 9.1 0.98 12.2 1.04 15.2 1.09 Kz = 0.987m qh = 1354Kz = 1354 (0.987) = 1337N/m2 Using Eq 1-3, the pressure loading can be determine as follows:- = q (0.85) Cp – 1337 ( ± 0.18) = 0.85qCp ± 241 Windward wall Since the pressure varies with height, qzGCp need to be considered. From table in Page 36, for all values L/B, Cp = 0.8 Using eq. 1-3; P(0-4.6) = 542 N/m2 P(6.1) = 588 N/m2 P(7.6) = 625 N/m2 Leeward wall (refer table in page 36) L/B = (2 x 22.5)/45 =1, Cp = -0.5 and use q=qh. Using eq. 1-3, P = -809 N/m2 Side walls (refer table in page 36) For all values of L/B, Cp = -0.7 and q=qh. Using eq. 1-3, P = -1037 N/m2 Windward Roof (refer table in page 37) h/L = 9.48/(2x22.5) = 0.211 < 0.25, Cp = -0.7 and q = qh. Using eq. 1-3, P = -1037 N/m2 Leeward Roof (refer table in page 37) h/L < 0.25, Cp = -0.3 and q = qh. Using eq. 1-3, P = -582 N/m2 Other Types of Loads EARTHQUAKE HYDROSTATIC SOIL PRESSURE SNOW Do you have any questions? ATTENDANCE https://tinyurl.com/yxr5nglc You can voice out your questions during next class or in the google classroom platform.