Page 73 - Civil Engineering Formulas

P W = np L L P 2 2 P P P P P kL (1 – 2k)L aL aL aL aL aL aL 1 a = 1 n + 1 1 R = P nP R = nP R = 2 L 2 L Load Load P R P P P R P Shear Shear P L L 2 2 maL m(n – m + 1) PL n + 1 2 PkL n(n + 2) PL Moment PL (n + 1)(For n an Mo
L 2 x(3k – 3k 2 – x 2 )
kL k(1 – k) x′ (k < x′ < (1 – k))
R = P xL (x < k) PxL
PL 3 6EI PL 2 2EI
P

P/2 tions for several equal loads equally spaced on a simply supported prismatic beam. (Continued)
P
1 2
R =
L 2
PL 3 48EI

Load PL 4 Moment c
L Shear L
P Elastic curve (d)
x(3 – 4x 2 )
L 2
P xL 1 2
1 2 x < xPL
R = 1 2 PL 3 48EI PL 2 16EI FIGURE 2.3
P/2

33