The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 69 GPa) with a cross-sectional area of A₁ = 830 mm². Bar (2) is a bronze alloy [E = 119 GPa] with a cross-sectional area of A₂ = 430 mm². Assume L₁=2.6 m, L₂=3.2 m, a=0.8 m, b=1.1 m, and c-1.2 m. All bars are unstressed before the load P is applied; however, there is a 2.1-mm clearance in the pin connection at A. If a load of P = 57 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) G₁ = (b) ₁ (C) VA = i = i P L B b (2) C L2 MPa, σ₁ = με, εν Ξ = mm. i i D MPa. με.

The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 69 GPa) with a cross-sectional area of A₁ = 830 mm². Bar (2) is a bronze alloy [E = 119 GPa] with a cross-sectional area of A₂ = 430 mm². Assume L₁=2.6 m, L₂=3.2 m, a=0.8 m, b=1.1 m, and c-1.2 m. All bars are unstressed before the load P is applied; however, there is a 2.1-mm clearance in the pin connection at A. If a load of P = 57 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) G₁ = (b) ₁ (C) VA = i = i P L B b (2) C L2 MPa, σ₁ = με, εν Ξ = mm. i i 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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