Perform the operations of Problem 1 for the cross section of Fig. 1. Divide into 13 quarte...

Perform the operations of Problem 1 for the cross section of Fig. 1. Divide into 13 quarter-inch strips. Load is 5000 lb.

Figure 1

Problem 1

A crane hook has the loading and dimensions given in Fig. 1.

(a) Draw cross section AB to full-size scale and divide into 18 strips 1/4-in. wide, running at right angles to line AB.

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(b) Locate the center of gravity by use of the integral , where A is the area of the cross section; x is the distance from the center of gravity to one end, say, point B, x is the distance from point B to the center of gravity of each strip; and dA is the area of the strip. This operation should be carried out in tabular form.

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(c) Find the value of m1 by use of Eq. (50), and the value of the maximum and minimum stresses.