The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 95 GPa] with a cross-sectional area of A₁ = 630 mm². Bar (2) is an aluminum alloy [E = 67 GPa] with a cross-sectional area of A₂ = 290 mm². All bars are unstressed before the load P is applied; however, there is a 8.3-mm clearance in the pin connection at A. Assume L₁=700 mm, L₂=460 mm, a=580 mm, b=330 mm, and c=1280 mm. If a concentrated load of P = 91 kN acts on the structure at D, 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) the downward deflection vp of point D on the rigid bar. (1) L₁ L₂ 2 BO

The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 95 GPa] with a cross-sectional area of A₁ = 630 mm². Bar (2) is an aluminum alloy [E = 67 GPa] with a cross-sectional area of A₂ = 290 mm². All bars are unstressed before the load P is applied; however, there is a 8.3-mm clearance in the pin connection at A. Assume L₁=700 mm, L₂=460 mm, a=580 mm, b=330 mm, and c=1280 mm. If a concentrated load of P = 91 kN acts on the structure at D, 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) the downward deflection vp of point D on the rigid bar. (1) L₁ L₂ 2 BO

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.20P: A framework ABC consists of two rigid bars AB and BC. Each having a length b (see the first part of...

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