The pin-connected structure consists of a rigid beam ABCD and two supporting bar

Question

The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E =75GPa] with a cross-sectional area of A1 =760mm2. Bar (2) is a bronze alloy [E =119GPa] with a cross-sectional area of A2 =490mm2. All bars are unstressed before the load P is applied; however, there is a2.5-mm clearance in the pin connection at A. If a load of P =59kN is applied at B, determine:
(a) the normal stresses ?1, ?2, in both bars (1) and (2).
(b) the normal strains ?1, ?2, in bars (1) and (2).
(c) determine the downward deflection eA of point A on the rigid bar. <?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /?>

Explanation / Answer

a)stress in bar1 =29.5/0.00076 =38815.79Pa stress in bar 2 = 29.5/0.00049 =60204 Pa b) strain in bar1 =stress/E =0.52*10^(-6) strain in bar 2 =60204/119Gpa = 0.51*10^(-6)

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