5. A 40 ft straight steel beam with a 4" x 6" rectangular cross-section is installed when the temperature is 40°F. It is supported in such a manner as to allow only 0.5 in longitudinal expansion. Lateral support is provided in each direction every 10 ft along the length of the beam. What is the largest temperature increase that the beam can withstand without buckling. The coefficient of thermal expansion, α = 6.60(106)/°F, and E = 29000 ksi. Assume pinned connections at each end and at each lateral support location. a) 195°F b) 140°F c) 340°F d) 300°F

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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5. A 40 ft straight steel beam with a 4" x 6" rectangular cross-section is installed when the
temperature is 40°F. It is supported in such a manner as to allow only 0.5 in longitudinal
expansion. Lateral support is provided in each direction every 10 ft along the length of
the beam. What is the largest temperature increase that the beam can withstand
without buckling. The coefficient of thermal expansion, α = 6.60(106)/°F, and E = 29000
ksi. Assume pinned connections at each end and at each lateral support location.
a) 195°F
b) 140°F
c) 340°F
d) 300°F
Transcribed Image Text:5. A 40 ft straight steel beam with a 4" x 6" rectangular cross-section is installed when the temperature is 40°F. It is supported in such a manner as to allow only 0.5 in longitudinal expansion. Lateral support is provided in each direction every 10 ft along the length of the beam. What is the largest temperature increase that the beam can withstand without buckling. The coefficient of thermal expansion, α = 6.60(106)/°F, and E = 29000 ksi. Assume pinned connections at each end and at each lateral support location. a) 195°F b) 140°F c) 340°F d) 300°F
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