The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 72 GPa] with a cross-sectional area of A₁ = 820 mm². Bar (2) is a bronze alloy [E = 104 GPa] with a cross-sectional area of A₂ = 470 mm². Assume L₁=3 m, L₂=3.5 m, a=0.8 m, b=1.7 m, and c=1.2 m. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. If a load of P = 38 kN is applied at B, determine: (a) the normal stresses 0₁, 02, in both bars (1) and (2). (b) the normal strains £1, 2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. (1) Answers: (a) 6₁ = (b) &₁ = (c) VA = i i L₁ B b ล с L2 MPa, 0₁ = με, εξ = i mm. D MPa. με.

The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 72 GPa] with a cross-sectional area of A₁ = 820 mm². Bar (2) is a bronze alloy [E = 104 GPa] with a cross-sectional area of A₂ = 470 mm². Assume L₁=3 m, L₂=3.5 m, a=0.8 m, b=1.7 m, and c=1.2 m. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. If a load of P = 38 kN is applied at B, determine: (a) the normal stresses 0₁, 02, in both bars (1) and (2). (b) the normal strains £1, 2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. (1) Answers: (a) 6₁ = (b) &₁ = (c) VA = i i L₁ B b ล с L2 MPa, 0₁ = με, εξ = i mm. D MPa. με.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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