Questions from Mechanics


Q: Determine the allowable axial load Pallow for a steel pipe column with

Determine the allowable axial load Pallow for a steel pipe column with pinned ends having an outside diameter of 220 mm and wall thickness of 12 mm for each of the following lengths: L = 2.5 m, 5 m, 7...

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Q: The upper end of a W 8 × 21 wide-flange

The upper end of a W 8 × 21 wide-flange steel column (E = 30 × 103 ksi) is supported laterally between two pipes (see figure). The pipes are not attached to the column, and f...

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Q: A vertical post AB is embedded in a concrete foundation and held

A vertical post AB is embedded in a concrete foundation and held at the top by two cables (see figure). The post is a hollow steel tube with modulus of elasticity 200 GPa, outer diameter of 40 mm, and...

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Q: The horizontal beam ABC shown in the figure is supported by columns

The horizontal beam ABC shown in the figure is supported by columns BD and CE. The beam is prevented from moving horizontally by the pin support at end A. Each column is pinned at its upper end to the...

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Q: The roof beams of a warehouse are supported by pipe columns (

The roof beams of a warehouse are supported by pipe columns (see figure) having an outer diameter d2 = 100 mm and inner diameter d1 = 90 mm. The columns have a length L = 4.0 m, modulus E = 210 GPa, a...

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Q: Determine the critical load Pcr and the equation of the buckled shape

Determine the critical load Pcr and the equation of the buckled shape for an ideal column with ends fixed against rotation (see figure) by solving the differential equation of the deflection curve....

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Q: A fixed-pinned column is a W310 × 21 steel shape

A fixed-pinned column is a W310 × 21 steel shape and is designed to carry an axial load of 125 kN. Determine the maximum permissible height L of the column if a factor of safety n = 2.5 i...

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Q: Find the controlling buckling load (kips) for the steel column

Find the controlling buckling load (kips) for the steel column shown in the figure. The column is fixed at the base and free at the top and is made up of two C6 × 10.5 shapes that act tog...

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Q: A column, fixed at the base and free at the top

A column, fixed at the base and free at the top, is made up of two C 100 × 10.8 steel shapes (see figure) that act together. (a) Find the buckling load (kN) if the gap is zero. (b) Find t...

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Q: A rigid L-shaped frame is supported by a steel pipe

A rigid L-shaped frame is supported by a steel pipe column AB (see figure) and is subjected to a horizontal load F = 140 kips. If the pipe has an outside diameter d = 4 in. and a factor of safety of 2...

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