A 380mm x 380mm concrete column which is pin connected at both ends has an unsupported length of 4.9m. The column is carrying a total factored axial load Pu = 520 kN and a lateral concentrated load of 240 kN acting at the mid-height of the column. Assume f’c = 22 MPa and β_dns = 0.3. (a) 1 pt. Compute the critical buckling load (kN). (b) 1 pt. Compute the magnification factor. (c) 1 pt. Compute the total moment (kN-m) including the secondary moment due to lateral deflection.

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A one-way slab has a rigid support (both fixed) and a span of 4m. The slab is to carry a uniform live load of 3.2 kPa. Assume f’c = 30 MPa and fy = 345 MPa for all bars. Unit weight of concrete is 24 kN/m3 . The slab concrete cover is 25mm. Use 12mmØ main bars and 10mmØ temperature bars. a. 1 pt. Determine the maximum negative moment (kN-m) of the slab per meter strip. b. 1 pt. Determine the spacing (mm) of main bars based on the negative moment slab per meter strip. c. 1 pt. Determine the spacing (mm) of temperature bars of the slab per meter strip.

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A one-way slab, 140 mm thick, is reinforced with 12mm main bars with fy = 345 MPa. Concrete strength, f’c is 30 MPa. Assume a live load pressure of 5.5 kPa. Unit weight of concrete = 23.54 kN/m3 . Use NSCP Coefficient Method. Considering the figure below, determine: a. 1 pt. The negative moment (kN-m) at interior face of support A. b. 1 pt. The negative moment (kN-m) at exterior face of support B. c. 1 pt. The maximum negative bending moment (kN-m) in span CD. d. 1 pt. The maximum positive bending moment (kN-m) in span DE. e. 1 pt. The maximum positive bending moment (kN-m) in span EF.

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A 420mm x 420mm concrete tied column is not braced against sidesway. It has an unsupported length of 5m. Assume effective length factor k = 1.4. Use f’c = 28 MPa and fy = 276 MPa. Given: Pu = 3500 kN, M2ns = 160 kNm, M2s = 145 kNm, ∑▒P_u = 90000 kN, ∑▒P_c = 247000 kN. (a) 1 pt. Determine the moment magnification factor for frames not braced against sidesway. (b) 1 pt. Determine the magnified factored moment (kN-m) to be used for design of the column. (c) 1 pt. Determine the minimum value of factored end moment (kN-m) for the given cross section as specified by NSCP.

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