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Design Guide - Solvay Plastics

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Table 38: Maximum Stress and Deflection Equations<br />

Simply Supported Beam<br />

Concentrated Load at Center<br />

Cantilevered Beam (One End Fixed)<br />

Concentrated Load at Free End<br />

F<br />

FL<br />

σ =<br />

4Z<br />

(at load)<br />

F<br />

FL<br />

σ =<br />

Z<br />

(at support)<br />

L<br />

Y<br />

3<br />

FL<br />

Y=<br />

48EI<br />

(at load)<br />

L<br />

Y<br />

3<br />

FL<br />

Y=<br />

3EI<br />

(at load)<br />

Simply Supported Beam<br />

Uniformly Distributed Load<br />

Cantilevered Beam (One End Fixed)<br />

Uniformly Distributed Load<br />

F (total load)<br />

FL<br />

σ =<br />

8Z<br />

(at center)<br />

F (total load)<br />

FL<br />

σ =<br />

2Z<br />

(at support)<br />

L<br />

Y<br />

3<br />

5FL<br />

Y=<br />

384EI<br />

(at center)<br />

L<br />

Y<br />

3<br />

FL<br />

Y=<br />

8EI<br />

(at support)<br />

Both Ends Fixed<br />

Concentrated Load at Center<br />

Both Ends Fixed<br />

Uniformly Distributed Load<br />

F<br />

FL<br />

½ L σ =<br />

8Z<br />

(at supports)<br />

F (total load)<br />

Y FL<br />

σ =<br />

12Z<br />

(at supports)<br />

L<br />

Y<br />

FL<br />

3<br />

Y=<br />

192EI<br />

(at load)<br />

L<br />

FL<br />

3<br />

Y=<br />

384EI<br />

(at center)<br />

Table of Contents<br />

Udel ® Polysulfone <strong>Design</strong> <strong>Guide</strong><br />

43

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