CIVIL ENGINEERING FORMULAS

TABLE 2.3 Coefficients for Correcting Values in Table 2.2 for Various Methods of Support and of Loading*

Max relative

deflection under

Max relative max relative safe

Conditions of loading safe load load

Beam supported at ends

Load uniformly distributed over span 1.0 1.0

Load concentrated at center of span 0.80

Two equal loads symmetrically concentrated l/4c

Load increasing uniformly to one end 0.974 0.976

Load increasing uniformly to center 0.96

Load decreasing uniformly to center 1.08

Beam fixed at one end, cantilever

Load uniformly distributed over span 2.40

Load concentrated at end 3.20

Load increasing uniformly to fixed end 1.92

Beam continuous over two supports equidistant from ends

Load uniformly distributed over span

1.If distance a 0.2071l l^2 /4a^2

2.If distance a0.2071l l/(l– 4 a)

3.If distance a0.2071l 5.83

Two equal loads concentrated at ends l/4a

*llength of beam; cdistance from support to nearest concentrated load; adistance from support to end of beam.

(^3)  8
(^1) 
8
(^1)  4
(^3)  2
(^3) 
4
(^1)  2
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