The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 97 GPa] with a cross-sectional area of A₁ = 220 mm². Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 550 mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ = 1620 mm, a = 1120 mm, b = 680 mm, c = 500 mm, and L₂ = 1200 mm. If a load of P = 112 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar. 4 (1) L₁ a A b (2) D L2

The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 97 GPa] with a cross-sectional area of A₁ = 220 mm². Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 550 mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ = 1620 mm, a = 1120 mm, b = 680 mm, c = 500 mm, and L₂ = 1200 mm. If a load of P = 112 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar. 4 (1) L₁ a A b (2) D L2

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 12CQ

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Concept explainers

Types and properties of steel

Steel is an alloy of iron. It is formed by heating iron and combining carbon (0.1-1.7%) with it and minor amounts of other elements such sulfur, chromium, manganese, nickel, etc. Thousands of steel grades have been published, registered, or regulated around the world, each with its chemical composition, and special numbering systems have been devised in various countries to classify the vast number of alloys.

Question

The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E =
97 GPa] with a cross-sectional area of A₁ = 220 mm². Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 550
mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ =
1620 mm, a = 1120 mm, b = 680 mm, c = 500 mm, and L₂ = 1200 mm. If a load of P = 112 kN is applied at B, determine
(a) the normal stresses in both bars (1) and (2).
(b) the downward deflection of point A on the rigid bar.
4
(1)
L
a
A
b
(2)
D
L2

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