Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 1, Problem 24CQ
To determine
The compound that is continuous in composite material.
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Draw the shear force and bending moment diagram
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 75 GPa] with a
cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 109 GPa] with a cross-sectional area of A₂ = 410 mm². Assume
L₁=2.6 m, L₂-3.3 m, a=0.7 m, b=1.5 m, and c=0.8 m. All bars are unstressed before the load P is applied; however, there is a 4.5-mm
clearance in the pin connection at A. If a load of P = 45 kN is applied at B, determine:
(a) the normal stresses σ1,02, 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
(a) σ1
=
(b) E₁ =
(C) VA = i
i
i
ล
B
C
L2
b
C
MPa, σ =
i
με, Ε2
i
mm.
MPa.
με
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 79 GPa] with a
cross-sectional area of A₁ = 780 mm². Bar (2) is a bronze alloy [E = 104 GPa] with a cross-sectional area of A₂ = 460 mm². Assume
L₁=1.6 m, L₂-2.1 m, a=0.6 m, b=1.8 m, and c-1.3 m. All bars are unstressed before the load P is applied; however, there is a 4-mm
clearance in the pin connection at A. If a load of P = 58 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)
L₁
B
Answers:
(a)σ =
b
ล
L2
C
D
i
MPa, σ1 =
i
MPa.
με, Ε2 =
i
με.
(b) €1
=
i
(C) VA =
i
mm.
Chapter 1 Solutions
Materials Science And Engineering Properties
Ch. 1 - Prob. 1CQCh. 1 - Prob. 2CQCh. 1 - Prob. 3CQCh. 1 - Prob. 4CQCh. 1 - Alumina (A12O3) is a(n) _________ material.Ch. 1 - Prob. 6CQCh. 1 - Prob. 7CQCh. 1 - Prob. 8CQCh. 1 - Prob. 9CQCh. 1 - Prob. 10CQ
Ch. 1 - Prob. 11CQCh. 1 - Prob. 12CQCh. 1 - Prob. 13CQCh. 1 - Prob. 14CQCh. 1 - Prob. 15CQCh. 1 - Prob. 16CQCh. 1 - Prob. 17CQCh. 1 - Prob. 18CQCh. 1 - Prob. 19CQCh. 1 - In the process of vulcanization the LCMs in latex...Ch. 1 - Prob. 21CQCh. 1 - Prob. 22CQCh. 1 - Prob. 23CQCh. 1 - Prob. 24CQCh. 1 - Prob. 25CQCh. 1 - Prob. 26CQCh. 1 - Prob. 27CQCh. 1 - Prob. 28CQCh. 1 - Prob. 29CQCh. 1 - Prob. 30CQCh. 1 - Prob. 31CQCh. 1 - Prob. 1ETSQCh. 1 - Prob. 2ETSQCh. 1 - Prob. 3ETSQCh. 1 - Prob. 4ETSQCh. 1 - Prob. 5ETSQCh. 1 - Prob. 6ETSQCh. 1 - Prob. 7ETSQCh. 1 - Prob. 8ETSQCh. 1 - Prob. 9ETSQCh. 1 - Prob. 10ETSQCh. 1 - Prob. 11ETSQCh. 1 - Prob. 12ETSQCh. 1 - Prob. 13ETSQCh. 1 - Prob. 14ETSQCh. 1 - Prob. 15ETSQCh. 1 - Prob. 16ETSQCh. 1 - Prob. 17ETSQCh. 1 - Prob. 1DRQ
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