STRUCTURAL THEORY SUPERPOSITION FORMULAS

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Last updated 6:03 AM on 3/23/26
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34 Terms

1
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WL/2

Reaction at A

<p>Reaction at A</p>
2
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WL²/8

Maximum Moment

<p>Maximum Moment</p>
3
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(5WL⁴)/384EI

Maximum Deflection

<p>Maximum Deflection </p>
4
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⅝(wL)

Reaction at Mid Support

<p>Reaction at Mid Support</p>
5
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(3/16)(wL)

Reaction at End Supports

<p>Reaction at End Supports</p>
6
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(9/512)wL²

Positive Maximum Moment at the Span

<p>Positive Maximum Moment at the Span</p>
7
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(1/32)(wL²)

Moment @ Mid-Support

<p>Moment @ Mid-Support</p>
8
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wL⁴/8EI

Maximum Deflection

<p>Maximum Deflection </p>
9
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(⅜)wL

Reaction at Support B

<p>Reaction at Support B</p>
10
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(⅝)wL

Reaction at Support A

<p>Reaction at Support A</p>
11
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wL²/8

Moment at Support A

<p>Moment at Support A</p>
12
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wL⁴/185EI

Deflection at the Span

<p>Deflection at the Span</p>
13
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wL/2

Reaction at Fixed Supports

<p>Reaction at Fixed Supports</p>
14
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wL²/12

Moment at Fixed Ends

<p>Moment at Fixed Ends</p>
15
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wL²/24

Moment at Midspan

<p>Moment at Midspan</p>
16
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wL⁴/384EI

Deflection at Midspan

<p>Deflection at Midspan</p>
17
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wL/2

Reaction at Mid Support

<p>Reaction at Mid Support</p>
18
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wL/4

Reaction at Fixed Supports

<p>Reaction at Fixed Supports</p>
19
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PL/3

Maximum Moment

<p>Maximum Moment </p>
20
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23PL³/64EI

Maximum Deflection

<p>Maximum Deflection </p>
21
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PL/4

Maximum Moment

<p>Maximum Moment </p>
22
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PL³/48EI

Maximum Deflection

<p>Maximum Deflection </p>
23
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ML²/2EI

Maximum Deflection

<p>Maximum Deflection </p>
24
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PL³/192EI

Maximum Deflection

<p>Maximum Deflection </p>
25
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PL/8

Fixed-end Moments of the Beam

<p>Fixed-end Moments of the Beam</p>
26
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WL²/6

Maximum Moment

<p>Maximum Moment</p>
27
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WL⁴/30EI

Max. Deflection

<p>Max. Deflection </p>
28
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⅖wL

Reaction at Support A

<p>Reaction at Support A </p>
29
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(1/10)WL

Reaction at Support B

<p>Reaction at Support B</p>
30
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wL²/15

Moment at Fixed End

<p>Moment at Fixed End</p>
31
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3wL⁴/1280EI

Max. Deflection

<p>Max. Deflection </p>
32
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(3/2)P

Support Reactions

<p>Support Reactions</p>
33
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PL/2

Maximum Moment

<p>Maximum Moment </p>
34
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19PL³/384EI

Maximum Deflection

<p>Maximum Deflection </p>