The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 77 GPa) with a cross-sectional area of A₁ = 790 mm². Bar (2) is a bronze alloy [E = 98 GPa] with a cross-sectional area of A₂ = 550 mm². Assume L₁=2.6 m, L₂=3.3 m, a=0.8 m, b=1.4 m, and c=1.2 m. All bars are unstressed before the load P is applied; however, there is a 3-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) A Answers: (a) σ₁ = (b) & 1 = (c) VA = i i i L₁ B b (2) L2 MPa, 0₁ = με, εξ = i mm. i D με. MPa.

The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 77 GPa) with a cross-sectional area of A₁ = 790 mm². Bar (2) is a bronze alloy [E = 98 GPa] with a cross-sectional area of A₂ = 550 mm². Assume L₁=2.6 m, L₂=3.3 m, a=0.8 m, b=1.4 m, and c=1.2 m. All bars are unstressed before the load P is applied; however, there is a 3-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) A Answers: (a) σ₁ = (b) & 1 = (c) VA = i i i L₁ B b (2) L2 MPa, 0₁ = με, εξ = i mm. i D με. MPa.

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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Question

The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 77 GPa) with a
cross-sectional area of A₁ = 790 mm². Bar (2) is a bronze alloy [E = 98 GPa] with a cross-sectional area of A2 = 550 mm². Assume L₁=2.6
m, L₂=3.3 m, a=0.8 m, b=1.4 m, and c=1.2 m. All bars are unstressed before the load P is applied; however, there is a 3-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) σ₁ =
(b) ₁ =
(c) VA =
i
i
L₁
B
b
(2)
C
MPa, 0₁ =
L2
με, €2 = i
mm.
i
D
MPa.
με.

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