Problem 1. A 15-kips homogeneous, rigid block is supported by three symmetrical rods as shown in the figure. a. If the temperature increases by 100°F, determine the stress in each rod after the block is attached assuming the lower ends of the rods were at the same level before the block was attached. b. Calculate the temperature increase that would cause the entire weight of the block to be carried by the steel rods. Steel Bronze Steel A = 0.75 in? E = 29 x 106 psi a = 6.5 x 10-6 /°F A = 1.5 in? E = 12 x 106 psi a = 10 x 10-6 /°F L= 3 ft A = 0.75 in? E = 29 x 106 psi a = 6.5 x 10-6 /°F L = 2 ft L= 2 ft 15 kips

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
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*using Thermal Stress Formula

*use GIVEN DATA BELOW

Problem 1.
A 15-kips homogeneous, rigid block is supported by three symmetrical rods as shown in the figure.
a. If the temperature increases by 100°F, determine the stress in each rod after the block is attached
assuming the lower ends of the rods were at the same level before the block was attached.
b. Calculate the temperature increase that would cause the entire weight of the block to be carried by the
steel rods.
Steel
Bronze
Steel
A = 0.75 in?
E = 29 x 105 psi
a = 6.5 x 10-6 /°F
A = 1.5 in?
E = 12 x 105 psi
a = 10 x 10-6 /°E
L = 3 ft
A = 0.75 in?
E = 29 x 10° psi
a = 6.5 x 106 /°F
L = 2 ft
L= 2 ft
15 kips
Transcribed Image Text:Problem 1. A 15-kips homogeneous, rigid block is supported by three symmetrical rods as shown in the figure. a. If the temperature increases by 100°F, determine the stress in each rod after the block is attached assuming the lower ends of the rods were at the same level before the block was attached. b. Calculate the temperature increase that would cause the entire weight of the block to be carried by the steel rods. Steel Bronze Steel A = 0.75 in? E = 29 x 105 psi a = 6.5 x 10-6 /°F A = 1.5 in? E = 12 x 105 psi a = 10 x 10-6 /°E L = 3 ft A = 0.75 in? E = 29 x 10° psi a = 6.5 x 106 /°F L = 2 ft L= 2 ft 15 kips
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