P8.052 (Multistep)
A tubular steel column CD supports horizontal cantilever arm ABC, as shown in the figure. Column CD has an outside diameter of 8.000 in. and a wall thickness of 0.400 in. The loads are PA=350 lb and PB=560 lb. Dimensions of the structure are a=5.2 ft, b=8.4 ft, and c=12.4 ft. Determine the maximum compression stress at the base of column CD.
Part 1
Determine the cross-sectional area and the area moment of inertia for column CD.
A= | 9.5456 | in.2 |
Iz= | 69.11 | in.4 |
Part 2
Determine the internal axial force in column CD. Use the sign convention for internal axial forces.
F= | - 910 | lb |
Part 3
Determine the magnitude of the internal moment in column CD. In this case, since you’re entering the magnitude, enter a positive value.
M= | 9464 | lb⋅ft |
Part 4
Determine the axial stress due to the internal force in column CD. This is the component of the normal stress produced by the force calculated in Step 2. Use the sign convention for normal stresses.
σaxial= | - 95.332 | psi |
Part 5
Determine the maximum compression bending stress in column CD. This is the largest magnitude compressive stress due to bending. Use the sign convention for normal stresses, so enter your answer with the correct sign for a compressive stress.
σbend,max= | psi |
Part 6
Determine the maximum compression stress at the base of column CD. Use the sign convention for normal stresses.
σmax= | psi |
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ANSWER
P8.052 (Multistep) A tubular steel column CD supports horizontal cantilever arm ABC, as shown in the...
A tubular steel column CD supports horizontal cantilever arm ABC, as shown in the figure. Column CD has an outside diameter of 9.000 in. and a wall thickness of 0.460 in. The loads are PA = 300 lb and Pb = 540 lb. Dimensions of the structure are a = 6.3 ft, b= 8.0 ft, and c = 14.0 ft. Determine the maximum compression stress at the base of column CD. b a PA C B A D *Part 1...
A tubular steel column C supports horizontal cantilever arm ABC, as shown in the figure. Column C has an outside diameter of 9.000 in. and a wall thickness of 0.460 in. The loads are PA = 370 lb and Pg = 550 lb. Dimensions of the structure are a = 6.1 ft. b = 8.2 ft, and c = 12.5 ft. Determine the maximum compression stress at the base of column co. b B Determine the maximum compression bending stress...
A tubular steel column CD supports horizontal cantilever arm ABC, as shown in the figure. Column CD has an outside diameter of 8.000 in. and a wall thickness of 0.400 in. The loads are PA = 370 lb and PB = 570 lb. Dimensions of the structure are a = 5.9 ft, b = 8.1 ft, and c = 12.2 ft. Determine the maximum compression stress at the base of column CD. b a PB PA B A D
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tension bending stress (a positive number) in the beam. (b) the
maximum compression bending stress (a negative number) in the beam.
Answers: (a) σmax T = psi (b) σmax C = psi
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loads shown. The cross-sectional dimensions of the shape are also
shown. Assume LAB = 4.0 ft,
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A cantilever beam supports the loads shown. The cross-sectional
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LAB = 3.5 ft, LBC = 10.5
ft, w = 1380 lb/ft, P = 2600 lb, b = 15
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(b) the maximum compression bending stress.
(c) the maximum tension bending stress.
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