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Mechanics of Materials | 7th Edition | ISBN: 9780073398235 | Authors: Ferdinand P. Beer; E. Russell Johnston Jr.; John T. DeWolf; David F. Mazurek
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A load P is supported as shown by a steel pin that has

Chapter 1, Problem 1.47

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QUESTION:

A load P is supported as shown by a steel pin that has been inserted in a short wooden member hanging from the ceiling. The ultimate strength of the wood used is 60 MPa in tension and 7.5 MPa in shear, while the ultimate strength of the steel is 145 MPa in shear. Knowing that b = 40 mm, c = 55 mm, and d = 12 mm, determine the load P if an overall factor of safety of 3.2 is desired.

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QUESTION:

A load P is supported as shown by a steel pin that has been inserted in a short wooden member hanging from the ceiling. The ultimate strength of the wood used is 60 MPa in tension and 7.5 MPa in shear, while the ultimate strength of the steel is 145 MPa in shear. Knowing that b = 40 mm, c = 55 mm, and d = 12 mm, determine the load P if an overall factor of safety of 3.2 is desired.

ANSWER:

Step 1 of 5

We have to determine the permissible load based on different stress criteria, we will test for double shear in pin, double shear in wood and tension in wood to find the maximum possible load P.

Given Data are

Ultimate strength of wood in tension:

Ultimate strength of wood in shear:

Ultimate strength of steel in shear:

Dimension of wooden plank:

Diameter of pin:

Factor of safety:

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