Questions from Mechanics


Q: A space truss is restrained at joints O, A, B

A space truss is restrained at joints O, A, B, and C, as shown in the figure. Load P is applied at joint A and load 2P acts downward at joint C. Each member is a slender, circular pipe (E = 10,600 ksi...

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Q: Determine the maximum permissible length max L for a steel pipe column

Determine the maximum permissible length max L for a steel pipe column that is fixed at the base and free at the top and must support an axial load P = 500 kN (see figure). The column has an outside d...

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Q: A steel pipe column with pinned ends supports an axial load P

A steel pipe column with pinned ends supports an axial load P = 21 kips. The pipe has outside and inside diameters of 3.5 in. and 2.9 in., respectively. What is the maximum permissible length Lmax of...

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Q: Column AB has a pin support at A, a roller support

Column AB has a pin support at A, a roller support at B, and is compressed by an axial load P (see figure). The column is a steel W 12 × 35 with modulus of elasticity E = 29,000 ksi and p...

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Q: A fixed-end column with circular cross section is acted on

A fixed-end column with circular cross section is acted on by compressive axial load P. The 18-ft-long-column has an outer diameter of 5 in, a thickness of 0.5 in., and is made of aluminum with a modu...

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Q: An aluminum bar having a rectangular cross section (2.0in

An aluminum bar having a rectangular cross section (2.0in. × 1.0in.) and length L = 30 in. is compressed by axial loads that have a resultant P = 2800 lb acting at the midpoint of the lon...

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Q: A steel bar has a square cross section of width b =

A steel bar has a square cross section of width b = 2.0 in. (see figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P =...

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Q: Determine the allowable axial load Pallow for a W10 × 45 steel

Determine the allowable axial load Pallow for a W10 × 45 steel wide-flange column with pinned ends (see figure) for each of the following lengths: L = 8 ft, 16 ft, 24 ft, and 32 ft. (Assu...

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Q: The steel columns used in a college recreation center are 16.

The steel columns used in a college recreation center are 16.75 m long and are formed by welding three wide-flange sections (see figure). The columns are pin-supported at the ends and may buckle in an...

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Q: A W 8 × 28 steel wide-flange column with pinned

A W 8 × 28 steel wide-flange column with pinned ends carries an axial load P. What is the maximum permissible length Lmax of the column if (a) P = 50 kips, and (b) P = 100 kips? (Assume E...

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