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9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 5, Problem 5.6.9P

Textbook Problem

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A floor system in a small building consists of wood planks supported by 2-in. (nominal width) joists spaced at distance *s *and measured from center to center (see figure). The span length *L *of each joist is 12 ft, the spacing *s *of the joists is 16 in., and the allowable bending stress in the wood is 1250 psi. The uniform floor load is 120 lb/ft", which includes an allowance for the weight of the floor system itself.

- Calculate the required section modulus
*S*for the joists, and then select a suitable joist size (surfaced lumber) from Appendix G, assuming that each joist may be represented as a simple beam carrying a uniform load.

**(a)**

To determine

The required section modulus

**Given information:**

The span length of each joist is

The following figure gives the free body diagram of the beam:

Figure-(1)

Write the expression for the uniformly distributed load.

Here, the uniformly distributed load is

Write the expression for the maximum bending moment.

Here, the maximum bending moment is

Write the expression for the section modulus.

Here, the permissible stress is

**Calculation:**

Substitute

**(b)**

To determine

The maximum floor load applied on the section modulus.

Mechanics of Materials (MindTap Course List)

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