CIVIL ENGINEERING FORMULAS

Shear

Moment

(m)

0.5774l

R 1

R 1 =V 1

R 2 =V2max

Mmax

∆max

∆x

atx = = 0.5774l

Vx

Mx

R 2

V 1

l

xW

Mmax

V 2

=

W

3

W

3

=^2 W

3

=

=

W

3

• Wx^2
  l^2

(l^2 – x^2 )

Wl^2

EI

=

= 0.01304

(3x^4 – 10l^2 x^2 + 7l^4 )

Wx

180 EIl^2

=

Wx

3 l^2

2 Wl = 0.1283Wl

atx = l 1 –^8 = 0.5193l

15

9 3

36

FIGURE 2.3 Elastic-curve equations for prismatic beams. (m) Simple beam—load increasing uniformly to one end.

(Continued)