WORLD FOR CIVIL

Topic 3.7 Stress, Strain & Hooke's Law - Topic Examination

1.) In the structure shown members ABC and CDE are assumed to be solid rigid members. MemberABC 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 .75 inch. For this structure:

A. Draw a Free Body Diagram showing all support forces and loads.
B. Determine the axial stress in cable DF.
C. Determine the movement of point B due to the applied load.
E_st = 30 x 10 6 psi; E_br = 15 x 10 6 psi; E_al = 10 x 10 6 psi
Unless otherwise indicated, all joints and support points are assumed to be pinned or hinged joints.
(For Solution, Select: Solution Problem 1)

2.) In the structure shown horizontal member BCDE is supported by vertical brass member, AB, an aluminum member EF, and by a roller at point C. Both AB and EF have cross sectional areas of .5 in². The structure is initially unstressed and then a load of 24,000 lb. is applied at point D. For this structure:

A. Draw a Free Body Diagram showing all support forces and loads.
B. Determine the axial stress that develops in aluminum member EF.
C. Determine the resulting movement of point E.
E_st = 30 x 10 6 psi; E_br = 15 x 10 6 psi; E_al = 10 x 10 6 psi
Unless otherwise indicated, all joints and support points are assumed to be pinned or hinged joints.
(For Solution, Select: Solution Problem 2)