   # A wide-flange beam (W 12 x 35) supports a uniform load on a simple span of length L = 14 ft (see figure). Calculate the maximum deflection δ max at the midpoint and the angles of rotation Sat the supports if q = 1.8 kips/ft and E = 30 × 10 6 psi. (Use the formulas of Example 9-1.) ### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347 ### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347
Chapter 9, Problem 9.3.3P
Textbook Problem
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## A wide-flange beam (W 12 x 35) supports a uniform load on a simple span of length L = 14 ft (see figure).Calculate the maximum deflection δ max at the midpoint and the angles of rotation Sat the supports if q = 1.8 kips/ft and E = 30 × 106 psi. (Use the formulas of Example 9-1.) To determine

The maximum deflection δmax and the angle of rotation θ .

### Explanation of Solution

Given information:

L=14ftq=1.8kips/ftE=30×106psiW12×35

Formula used:

δmax=5qL4384EI

θ=θA=θB=qL324EI

Calculation:

Let us first convert the units;

L=14ft=168in and q=1.8k/ft=150lb/in ;

I=285in4

We know the formula for the maximum deflection, i.e

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