Page 77 - Civil Engineering Formulas

xL
wx
wL
2
W =
3
L
w
w
L′
wL′ WL (2L + L′) 3 R = W 2L L Load Load x′L′ wL′ R 2 Wx 2 wL′x′ W Shear Shear wL′ 2 x′ 2 WL x 3 3 2 WL 1 3 wL′ 2 Moment 2 xL wL′ 2 L 2 WL 3 x(1 – x 2 ) wL′ 3 (4 – 5x + x 3 ) 12EI 60EI (4L + 3L′) 24EI Elastic curve WL 3 Elastic curve 1
R 2 =
L
R 1 = wL′ 2 2L xL 1 wL′ 2 x 2 Moment L 3 wL′ 2 L 2 3EI
d max = 18
R 1
wL 4 8EI
xL (3 – 4x + x 4 )
L Shear
Load wL 4 24EI Elastic curve (j)
w wL 2 x 2 2 Moment

R = wL wLx cantilever. (Continued)

wL 2 2 wL wL 2 FIGURE 2.3
1 2

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