5_35 - 5.35 The pin-connected structure shown in Fig. P5.35...

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5.35 The pin-connected structure shown in Fig. P5.35 consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [ E = 70 GPa] with a cross-sectional area of A 1 = 800 mm 2 . Bar (2) is a bronze alloy [ E = 100 GPa] with a cross-sectional area of A 2 = 500 mm 2 . The normal stress in the aluminum bar must be limited to 70 MPa, and the normal stress in the bronze rod must be limited to 90 MPa. Determine: (a) the maximum downward load P that may be applied at B . (b) the deflection of the rigid beam at B . Fig. P5.35 Solution Equilibrium Consider a FBD of the rigid bar. Assume tension forces in members (1) and (2). A moment equation about pin D gives the best information for this situation: 12 (3.5 m) (1.2 m) (2.7 m) 0 D MF F P Σ= + = Geometry of Deformations Relationship Draw a deformation diagram of the rigid bar. The deflections of the rigid bar are related by similar triangles: 3.5 m 1.2 m C A v v = Since there are no gaps, clearances, or other misfits at pins A and C , the deformation of member (1) will
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5_35 - 5.35 The pin-connected structure shown in Fig. P5.35...

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