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(a) Figure Q4(a) shows a steel column with the length of 3.5 m and pin-ended supported at both sides. The steel column has a rectangular cross section (100 mmx 200 mm). (i) Check whether the Eurler's formula is appropriate or not by using condition Oer Oy. The yield stress of steel is oy = 250 MPa and the Modulus Elasticity of the steel is 200 GPa. Use factor of safety of 3.5 for buckling. (10 marks) Determine the largest allowable load (Pallaw) and critical load that can be applied. (3 marks) (b) A compound steel column consists of two square concrete segments is shown in Figure Q4(b). Segment 1 has 100 mm edges and segment 2 has 150 mm edges. The column is subjected to torques of T = 8 kNm and Tc = 12 kNm to act in the direction given in Figure Q4(b). Take Geel = 81GPa. Determine maximum shear stress and angle of twist at point C. (ii) (7 marks)
(a) Figure Q4(a) shows a steel column with the length of 3.5 m and pin-ended supported at both sides. The steel column has a rectangular cross section (100 mmx 200 mm). (i) Check whether the Eurler's formula is appropriate or not by using condition Oer Oy. The yield stress of steel is oy = 250 MPa and the Modulus Elasticity of the steel is 200 GPa. Use factor of safety of 3.5 for buckling. (10 marks) Determine the largest allowable load (Pallaw) and critical load that can be applied. (3 marks) (b) A compound steel column consists of two square concrete segments is shown in Figure Q4(b). Segment 1 has 100 mm edges and segment 2 has 150 mm edges. The column is subjected to torques of T = 8 kNm and Tc = 12 kNm to act in the direction given in Figure Q4(b). Take Geel = 81GPa. Determine maximum shear stress and angle of twist at point C. (ii) (7 marks)
T₂ = 12 kNm C B A 2 L = 3.5 m FIGURE Q4(a) T₂ = 12 kNm 100 mm FIGURE Q4(b) 2 150 mm