Applied Mechanics II -Tutorial questions

In the structure shown to the right member ABD is a solid rigid member pinned to the wall at A, supported by steel cable BC, and connected to member EFG by steel cable DE. (Cables BC and DE each have a cross sectional area of 300 mm2.) Member EFG is supported by a roller at F and is loaded with 12F at G. For this structure determine (i) the reactions at supports F in kN (ii) the force in cable BC in kN (iii) the force in cable ED in kN (iv) the stress(MPa) in cable BC and (v) the movement of point G in mm. Fig. 6 Take, Force, F= 1000N Length L=10m the Young’s modulus for steel, brass and aluminium as Est = 200 GPa Ebr = 100 GPa ; Eal = 70 GPa Use pen and tablet to do through the solution in 10 min. Answers(compare with excel) and check Vertical reaction at support F in kN = force in cable BC in kN = force in cable ED in kN= stress in cable BC in MPa= movement of point G in mm=  1. In the structure shown members ABC and CDE are assumed to be solid rigid members. Member ABC is pinned to the wall at A and is supported by a roller at point C. Member CDE is pinned to the wall at point E, and is supported by steel cable DF. Cable DF has a diameter of 20mm. For this structure: Fig. 1 Draw a Free Body Diagram showing all support forces and loads. B. Determine (i) the reactions at supports A(both x and y directions), and support C in kN (ii) the axial stress in cable DF in kN and (iii) the movement of point B due to the applied load in mm . Take, Force, F= 1kN Length L=10m the Young’s modulus for steel, brass and aluminium as Est = 200 GPa Ebr = 100 GPa ; Eal = 70 GPa