Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 4, Problem 4.7P
To determine
The temperature at which the hollow shaft must be heated for the shrink fit to occur.
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The assembly consists of a brass shell (1) fully bonded to a solid ceramic core (2).
The brass shell [E = 115 GPa, a = 18.7 × 10-6/°C] has dout 50mm. and din
= 35mm.
The ceramic core [E = 290 GPa, α = 3.1 x 10-6/°C] has a diameter dout = 35mm.
At a temperature of 15°C, the assembly is unstressed. AT = 60°C.
Find the internal stress in the brass.
=
200 mm
Brass shell (1)
(2) Ceramic core
The assembly consists of a brass shell (1) fully bonded to a ceramic core (2). The brass shell [E = 86 GPa, α= 18 × 10−6/°C] has an outside diameter of 33 mm and an inside diameter of 27 mm. The ceramic core [E = 320 GPa, α= 2.5 × 10−6/°C] has a diameter of 27 mm. At a temperature of 15°C, the assembly is unstressed. Assume L = 320 mm. Determine the largest temperature increase Δt that is acceptable for the assembly if the normal stress in the longitudinal direction of the brass shell must not exceed 65 MPa.
Another of the steel components manufactured by michael's company is steel railway track sections. Thecomponent has a length of 120m (at a temperature of -10°C) and is to be exposed to a temperaturerange of -10°C to 55°C. In order to calculate the gaps which need to be left between the sections michael'scustomer needs to determine the maximum length which each railway track section will expand to andmichael have been asked to carry out the calculation for them. michael have also been instructed to determinethe percentage change in volume and surface area when exposed to the same initial and finaltemperatures. The customer has informed him that the cross sectional profile of the railway track isrectangular and of breadth 14cm and height 32cm. Assume the coefficient of thermal expansion ofsteel is 12x10-6 /°C. Briefly discuss the changes that occur with in the steel as a result of the change intemperature.
Chapter 4 Solutions
Materials Science And Engineering Properties
Ch. 4 - Prob. 1CQCh. 4 - Prob. 2CQCh. 4 - Prob. 3CQCh. 4 - Prob. 4CQCh. 4 - Prob. 5CQCh. 4 - Prob. 6CQCh. 4 - Prob. 7CQCh. 4 - Prob. 8CQCh. 4 - Prob. 9CQCh. 4 - Prob. 10CQ
Ch. 4 - Prob. 11CQCh. 4 - Prob. 12CQCh. 4 - Prob. 13CQCh. 4 - Prob. 14CQCh. 4 - Prob. 15CQCh. 4 - Prob. 16CQCh. 4 - Prob. 17CQCh. 4 - Prob. 18CQCh. 4 - Prob. 19CQCh. 4 - Prob. 20CQCh. 4 - Prob. 21CQCh. 4 - Prob. 22CQCh. 4 - Prob. 23CQCh. 4 - Prob. 24CQCh. 4 - Prob. 25CQCh. 4 - Prob. 26CQCh. 4 - Prob. 27CQCh. 4 - Prob. 28CQCh. 4 - Prob. 29CQCh. 4 - Prob. 30CQCh. 4 - Prob. 31CQCh. 4 - Prob. 32CQCh. 4 - Prob. 33CQCh. 4 - Prob. 34CQCh. 4 - Prob. 35CQCh. 4 - Prob. 36CQCh. 4 - Prob. 37CQCh. 4 - Prob. 38CQCh. 4 - Prob. 39CQCh. 4 - Prob. 40CQCh. 4 - Prob. 41CQCh. 4 - Prob. 42CQCh. 4 - Prob. 43CQCh. 4 - Prob. 1ETSQCh. 4 - Prob. 2ETSQCh. 4 - Prob. 3ETSQCh. 4 - Prob. 4ETSQCh. 4 - Prob. 5ETSQCh. 4 - Prob. 6ETSQCh. 4 - Prob. 7ETSQCh. 4 - Prob. 1DRQCh. 4 - Prob. 4.1PCh. 4 - Prob. 4.2PCh. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - Prob. 4.10PCh. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - Prob. 4.15PCh. 4 - Prob. 4.16PCh. 4 - Prob. 4.17PCh. 4 - Prob. 4.18PCh. 4 - Prob. 4.19PCh. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - Prob. 4.25P
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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 = 12.7 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_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
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