1. The assembly has the diameters and material indicated, and has the four axial loads applied (two at location B and two at location C), with P = 12 kips (12,000 lbs). The assembly fits securely between the supports at A and D when the temperature is T₁ = 70°F. ("Fits securely" means at 70°F, zero load is applied by the support at D-that is, at 70°F you can assume the wall is not there). The temperature is raised to T2 = 110°F (AT= 40°F); with the increase in temperature, the wall at D becomes a roller support-it prevents movement horizontally but not vertically. 2014-T6 Aluminum 2P 12 in. C. 4 ft B2P C 86100 Bronze 8 in. .6 ft- 304 Stainless steel P 4 in. 3 ft oooooo0 Load P = 12 kips At temperature T₂ = 110°F, determine the following: a. The compressive axial normal force developed on the assembly at support D by the temperature increase from T₁ = 70°F to T₂ = 110°F: b. Draw the normal-force diagram for the entire length of the beam (x = 0 to x = 13 ft) at temperature T₂ = 110°F: Determine the normal axial stress developed by the temperature increase and the axial loads in section AB.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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1. The assembly has the diameters and material indicated, and has the four axial loads applied
(two at location B and two at location C), with P = 12 kips (12,000 lbs). The assembly fits
securely between the supports at A and D when the temperature is T₁ = 70°F. ("Fits securely"
means at 70°F, zero load is applied by the support at D-that is, at 70°F you can assume the
wall is not there). The temperature is raised to T₂ = 110°F (AT= 40°F); with the increase in
temperature, the wall at D becomes a roller support-it prevents movement horizontally but
not vertically.
A
-2014-T6 Aluminum
2P
12 in.
-4 ft
B 2P
86100 Bronze
8 in.
6 ft-
304 Stainless
steel-
P
4 in.
3 ft-
Load P = 12 kips
At temperature T₂ = 110°F, determine the following:
a. The compressive axial normal force developed on the assembly at support D by the
temperature increase from T₁ = 70°F to T₂ = 110°F:
b. Draw the normal-force diagram for the entire length of the beam (x = 0 to x = 13 ft) at
temperature T₂ = 110°F:
c. Determine the normal axial stress developed by the temperature increase and the axial
loads in section AB.
Transcribed Image Text:1. The assembly has the diameters and material indicated, and has the four axial loads applied (two at location B and two at location C), with P = 12 kips (12,000 lbs). The assembly fits securely between the supports at A and D when the temperature is T₁ = 70°F. ("Fits securely" means at 70°F, zero load is applied by the support at D-that is, at 70°F you can assume the wall is not there). The temperature is raised to T₂ = 110°F (AT= 40°F); with the increase in temperature, the wall at D becomes a roller support-it prevents movement horizontally but not vertically. A -2014-T6 Aluminum 2P 12 in. -4 ft B 2P 86100 Bronze 8 in. 6 ft- 304 Stainless steel- P 4 in. 3 ft- Load P = 12 kips At temperature T₂ = 110°F, determine the following: a. The compressive axial normal force developed on the assembly at support D by the temperature increase from T₁ = 70°F to T₂ = 110°F: b. Draw the normal-force diagram for the entire length of the beam (x = 0 to x = 13 ft) at temperature T₂ = 110°F: c. Determine the normal axial stress developed by the temperature increase and the axial loads in section AB.
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