Questions from Mechanics


Q: The column shown in the figure is fixed at the base and

The column shown in the figure is fixed at the base and free at the upper end. A compressive load P acts at the top of the column with an eccentricity e from the axis of the column. Beginning with the...

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Q: An aluminum box column with a square cross section is fixed at

An aluminum box column with a square cross section is fixed at the base and free at the top (see figure). The outside dimension b of each side is 100 mm and the thickness t of the wall is 8 mm. The re...

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Q: Solve the preceding problem for an aluminum column with b = 6

Solve the preceding problem for an aluminum column with b = 6.0 in., t = 0.5 in., P = 30 kips, and E = 10.6 × 103 ksi. The deflection at the top is limited to 2.0 in. Data from Problem...

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Q: A steel post AB with a hollow circular cross section is fixed

A steel post AB with a hollow circular cross section is fixed at the base and free at the top (see figure). The inner and outer diameters are d1 = 96 mm and d2 = 110 mm, respectively, and the length i...

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Q: A frame ABCD is constructed of steel wide-flange members (

A frame ABCD is constructed of steel wide-flange members (W8 × 21; E = 30 × 106 psi) and subjected to triangularly distributed loads of maximum intensity qo acting along the...

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Q: A cantilever aluminum column has a square tube cross section with an

A cantilever aluminum column has a square tube cross section with an outer dimension of 150 mm. The column has a length L = 4 m and is designed to support an axial load of 45 kN. Find the minimum requ...

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Q: An aluminum pipe column (E = 10,400ksi) with

An aluminum pipe column (E = 10,400ksi) with a length L = 10.0 ft has inside and outside diameters d1 = 5.0 in. and d2 = 6.0 in., respectively (see figure). The column is supported only at the ends an...

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Q: Solve the preceding problem for a steel pipe column (E =

Solve the preceding problem for a steel pipe column (E = 210GPa) with length L = 1.2 m, inner diameter d1 = 36 mm, and outer diameter d2 = 40 mm. Data from Problem 3: An aluminum pipe column (E = 1...

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Q: A wide-flange steel column (E = 30 × 106

A wide-flange steel column (E = 30 × 106 psi) of W12 × 87 shape (see figure) has a length L = 28 ft. It is supported only at the ends and may buckle in any direction. Calcula...

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Q: Solve the preceding problem for a W250 × 89 shape with length

Solve the preceding problem for a W250 × 89 shape with length L = 7.5 m and E = 200 GPa. Data from Problem 5: A wide-flange steel column (E = 30 × 106 psi) of W12 Ã...

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