The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 61 GPa] with a cross-sectional area of A₁ = 810 mm². Bar (2) is a bronze alloy [E = 103 GPa] with a cross-sectional area of A2 = 470 mm². Assume L₁=2.4 m, L₂=3.1 m, a=0.7 m, b=1.9 m, and c= 1.1 m. All bars are unstressed before the load P is applied; however, there is a 5.8-mm clearance in the pin connection at A. If a load of P = 44 kN is applied at B, determine: (a) the normal stresses 01, 0₂, in both bars (1) and (2). (b) the normal strains &₁, 82, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. A Answers: (a) 0₁ (STVA = = a i i B 156.10 0.00256 b C MPa, 0₁ = με,€2 = mm L2 i i D 20.75 0.0002014 MPa. με.

The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 61 GPa] with a cross-sectional area of A₁ = 810 mm². Bar (2) is a bronze alloy [E = 103 GPa] with a cross-sectional area of A2 = 470 mm². Assume L₁=2.4 m, L₂=3.1 m, a=0.7 m, b=1.9 m, and c= 1.1 m. All bars are unstressed before the load P is applied; however, there is a 5.8-mm clearance in the pin connection at A. If a load of P = 44 kN is applied at B, determine: (a) the normal stresses 01, 0₂, in both bars (1) and (2). (b) the normal strains &₁, 82, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. A Answers: (a) 0₁ (STVA = = a i i B 156.10 0.00256 b C MPa, 0₁ = με,€2 = mm L2 i i D 20.75 0.0002014 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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Question

The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E
= 61 GPa] with a cross-sectional area of A₁ = 810 mm². Bar (2) is a bronze alloy [E = 103 GPa] with a cross-sectional
area of A2 = 470 mm². Assume L₁=2.4 m, L₂=3.1 m, a=0.7 m, b=1.9 m, and c= 1.1 m. All bars are unstressed before the
load P is applied; however, there is a 5.8-mm clearance in the pin connection at A. If a load of P = 44 kN is applied at B,
determine:
(a) the normal stresses 0₁, 0₂, in both bars (1) and (2).
(b) the normal strains &1, 82, in bars (1) and (2).
(c) determine the downward deflection VA of point A on the rigid bar.
A
Answers:
(a) 0₁
=
(STVA =
a
i
i
B
156.10
0.00256
b
C
MPa, 0₁ =
με, €2 =
mm
L2
i
i
D
20.75
0.0002014
MPa.
με.

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