Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Question
Chapter 5, Problem 1CQ
To determine
The transformation in which the solid and liquid are always in equilibrium.
Expert Solution & Answer
Explanation of Solution
When material changes its phase from liquid to solid or from solid to liquid it is termed as phase transformation. When total amount of solid is transformed into liquid and same liquid can transformed into solid then this is known as reversible transformation,
Express the reversible transformation expression mathematically as follows:
Here,
Thus, the transformation in which the solid and liquid are always in equilibrium is Reversible transformation.
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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 5 Solutions
Materials Science And Engineering Properties
Ch. 5 - Prob. 1CQCh. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQ
Ch. 5 - Prob. 11CQCh. 5 - Prob. 12CQCh. 5 - Prob. 13CQCh. 5 - Prob. 14CQCh. 5 - Prob. 15CQCh. 5 - Prob. 16CQCh. 5 - Prob. 17CQCh. 5 - Prob. 18CQCh. 5 - Prob. 19CQCh. 5 - Prob. 20CQCh. 5 - Prob. 21CQCh. 5 - Prob. 22CQCh. 5 - Prob. 23CQCh. 5 - Prob. 24CQCh. 5 - Prob. 25CQCh. 5 - Prob. 26CQCh. 5 - Prob. 27CQCh. 5 - Prob. 28CQCh. 5 - Prob. 29CQCh. 5 - Prob. 30CQCh. 5 - Prob. 31CQCh. 5 - Prob. 32CQCh. 5 - Prob. 33CQCh. 5 - Prob. 34CQCh. 5 - Prob. 35CQCh. 5 - Prob. 36CQCh. 5 - Prob. 1ETSQCh. 5 - Prob. 2ETSQCh. 5 - Prob. 3ETSQCh. 5 - Prob. 4ETSQCh. 5 - Prob. 5ETSQCh. 5 - Prob. 6ETSQCh. 5 - Prob. 7ETSQCh. 5 - Prob. 8ETSQCh. 5 - Prob. 9ETSQCh. 5 - Prob. 10ETSQCh. 5 - Prob. 11ETSQCh. 5 - Prob. 12ETSQCh. 5 - Prob. 1DRQCh. 5 - Prob. 2DRQCh. 5 - Prob. 3DRQCh. 5 - Prob. 5.1PCh. 5 - Prob. 5.2PCh. 5 - Prob. 5.3PCh. 5 - Prob. 5.4PCh. 5 - Prob. 5.5PCh. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - Prob. 5.10PCh. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - Prob. 5.14PCh. 5 - Prob. 5.15PCh. 5 - Prob. 5.16PCh. 5 - Prob. 5.17PCh. 5 - Prob. 5.18PCh. 5 - Prob. 5.19P
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