Problem 1: Three vertical posts AD, BE, and CF are held between two horizontal rigid plates. Posts AD and CF are made of steel (Es = 200 GPa) and have cross sectional areas of 1000 mm² each. Post BE is made of aluminum (Ea = 73.1 GPa) and has a cross sectional area of 1500 mm². Initially, there is a small gap of 0.1 mm between BE and the top horizontal plate. Then a vertical force of P = 410 kN is applied, which is more than sufficient to close the gap completely. A D -0.5 m- P -0.5 m 0.4 m F Determine the normal stresses in posts AD, BE, and CF (both magnitude and sign).

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
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Problem 1: Three vertical posts AD, BE, and CF are held between two horizontal rigid plates.
Posts AD and CF are made of steel (Es = 200 GPa) and have cross sectional areas of 1000 mm²
each. Post BE is made of aluminum (Ea = 73.1 GPa) and has a cross sectional area of 1500 mm².
Initially, there is a small gap of 0.1 mm between BE and the top horizontal plate. Then a vertical
force of P = 410 kN is applied, which is more than sufficient to close the gap completely.
D
-0.5 m
B
E
-0.5 m-
0.4 m
F
Determine the normal stresses in posts AD, BE, and
CF (both magnitude and sign).
Transcribed Image Text:Problem 1: Three vertical posts AD, BE, and CF are held between two horizontal rigid plates. Posts AD and CF are made of steel (Es = 200 GPa) and have cross sectional areas of 1000 mm² each. Post BE is made of aluminum (Ea = 73.1 GPa) and has a cross sectional area of 1500 mm². Initially, there is a small gap of 0.1 mm between BE and the top horizontal plate. Then a vertical force of P = 410 kN is applied, which is more than sufficient to close the gap completely. D -0.5 m B E -0.5 m- 0.4 m F Determine the normal stresses in posts AD, BE, and CF (both magnitude and sign).
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