A bracket ABCD having a hollow circular cross section consists of a vertical arm AB (L 5 6 ft), a horizontal arm BC parallel to the x0 axis, and a horizontal arm CD parallel to the z0 axis (see gure). The arms BC and CD have lengths b1 5 3.6 ft and b2 5 2.2 ft, respectively. The outer and inner diameters of the bracket are d2 5 7.5 in. and d1 5 6.8 in. Aninclined load P 5 2200 lb acts at point D along line DH. Determine the maximum tensile, compressive, and shear stresses in the vertical arm.

The answer is explained below

Explanation:

Given that:

1 ft = 0.3048 m, 1 in = 0.0254 m, 1 pound = 4.44822 newton

, , , . P = 2200 lb = 9786 N

The area (A) is given as:

The moment of area is given as:

The maximum tensile stress is given as:

The maximum compressive stress is given as:

The maximum shear stress is given as:

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