Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 1, Problem 31CQ
To determine
The major factor limiting the use of single crystal gas turbine blades.
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At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 12.5 x 10-6/°F] bar
with a width of 3.0 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 9.6 x 10-6/°F] bar with a width of 2.0 in. and a thickness of
0.75 in. The supports at A and C are rigid. Determine
(a) the lowest temperature at which the two bars contact each other.
(b) the normal stress in the two bars at a temperature of 250°F.
(c) the normal strain in the two bars at 250°F.
(d) the change in width of the aluminum bar at a temperature of 250°F.
(1)
3.0 in.
32 in.
2.0 in.
B ↓
(2)
44 in.
0.04-in. gap
Determine the lowest temperature, Tcontact, at which the two bars contact each other.
materials absorb shock or energy and they give warning prior to failure.
a. Ductile
O b. Concrete
O c. inorganic materials
O d. Brittle
At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; α=α=12.5 x 10-6/°F] bar with a width of 2.5 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; α=α=9.6 x 10-6/°F] bar with a width of 1.7 in. and a thickness of 0.75 in. The supports at A and C are rigid. Assume h1=2.5 in., h2=1.7 in., L1=31 in., L2=46 in., and Δ=Δ= 0.04 in.
(A) Determine the lowest temperature, Tcontact, at which the two bars contact each other.
(B) Find a geometry-of-deformation relationship for the case in which the gap is closed. Express this relationship by entering the sum δ1+δ2, where δ1 is the axial deflection of Bar (1), and δ2 is the axial deflection of Bar (2). δ1+δ2= _____in.
(C) Find the force in the Bar (1), F1, and the force in Bar (2), F2, at a temperature of 225oF. By convention, a tension force is positive and a compression force is negative. IN KIPS
(D) Find σ1 and σ2,…
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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- In mechanical resistancearrow_forwardAt a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 13.4 x 10-6/°F] bar with a width of 3 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 10.1 x 10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and Care rigid. Determine the lowest temperature at which the two bars contact each other. (1) ↑ 3 in. 32 in. O 75.9°F O 146.5°F O 105.8°F O 122.3°F O 111.3°F 2 in. (2) 44 in. -0.04-in. gaparrow_forwardAt a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 14.4 x 10-6/°F] bar with a width of 3 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 9.6 × 10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and Care rigid. Determine the lowest temperature at which the two bars contact each other. (1) 3 in. 32 in. 105.3°F 75.3°F O 147.3°F 86.6°F 113.4°F B ↑ 2 in. ↓ (2) 44 in. 0.04-in. gaparrow_forward
- At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 12.7 x 10-6/°F] bar with a width of 3 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 8.6 x 10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and C are rigid. Determine the lowest temperature at which the two bars contact each other. (1) 3 in. 32 in. 90.2°F O 69.9°F 139.2°F 103.5°F O 111.0°F B ↑ 2 in. ↓ 44 in. -0.04-in. gaparrow_forwardAt a temperature of 60°F, a 0.02-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; α=α=12.5 x 10-6/°F] bar with a width of 2.8 in. and a thickness of 0.85 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; α=α=9.6 x 10-6/°F] bar with a width of 1.6 in. and a thickness of 0.85 in. The supports at A and C are rigid. Assume h1=2.8 in., h2=1.6 in., L1=26 in., L2=40 in., and Δ=Δ= 0.02 in. Determine(a) the lowest temperature at which the two bars contact each other.(b) the normal stress in the two bars at a temperature of 225°F.(c) the normal strain in the two bars at 225°F.(d) the change in width of the aluminum bar at a temperature of 225°F.arrow_forwardDecode the characteristics of a 6063 T831 aluminum.arrow_forward
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