A steel post AB of hollow circular cross section is fixed at the base and free...

 

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A steel post AB of hollow circular cross section is fixed at the base and free at the top. The inner and outer diameters are di -96 mm and d₂ = 110 mm, respectively, and the length L= 4.0 m. The modulus of elasticity of the post material is 205 GPa. Two ways to weld a rigid fitting to the post. The first is to weld the rigid fitting at the top and the second is to the side of the post as shown in Figure Q5(a) and Figure Q5(b), respectively. Cable CBD passes through the fitting in which the contact in between the cable and the fitting is assumed frictionless. The cable is pretensioned by tightening the turnbuckles and the angles between the cable and the ground are a = 53.13°. Determine the maximum allowable tensile force T' in the cable: (i) for the post as shown in Figure Q5(a) if the plane of the cable (plane CBD) is aligned with the axis of the post, (3 marks) (ii) for the post as shown in Figure Q5(b) if the distance between the plane of the cable (plane CBD) and the axis of the post is e = 100 mm, and the deflection at the top of the post is limited to 20 mm. L=40m turnbuckle - 53.13" rigid fitting cable cable -a-53.13 Figure Q5(a)/Rajah S5(a) L-4.0m turnbuckle- a=53.13 rigid fitting" cable. 100 mm cable (5 marks) a=53.13° FigureQ5(b)/Rajah S5(b) A steel post AB of hollow circular cross section is fixed at the base and free at the top. The inner and outer diameters are di -96 mm and d₂ = 110 mm, respectively, and the length L= 4.0 m. The modulus of elasticity of the post material is 205 GPa. Two ways to weld a rigid fitting to the post. The first is to weld the rigid fitting at the top and the second is to the side of the post as shown in Figure Q5(a) and Figure Q5(b), respectively. Cable CBD passes through the fitting in which the contact in between the cable and the fitting is assumed frictionless. The cable is pretensioned by tightening the turnbuckles and the angles between the cable and the ground are a = 53.13°. Determine the maximum allowable tensile force T' in the cable: (i) for the post as shown in Figure Q5(a) if the plane of the cable (plane CBD) is aligned with the axis of the post, (3 marks) (ii) for the post as shown in Figure Q5(b) if the distance between the plane of the cable (plane CBD) and the axis of the post is e = 100 mm, and the deflection at the top of the post is limited to 20 mm. L=40m turnbuckle - 53.13" rigid fitting cable cable -a-53.13 Figure Q5(a)/Rajah S5(a) L-4.0m turnbuckle- a=53.13 rigid fitting" cable. 100 mm cable (5 marks) a=53.13° FigureQ5(b)/Rajah S5(b)

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i For the post as shown in Figure Q5a if the plane of the cable plane CBD is aligned with the axis o... View the full answer