CIVIL ENGINEERING FORMULAS

Atx: when x < a

Atx 1 : when x 1 < L V = R – w(a + x 1 ) Atx 1 : when x 1 < L

Atx 2 : when x 2 < b V = w(b – x 2 )

Atx: when x < a V = w (a – x)

Atx 2 : when x 2 < b

Atx 1 : when x 1 =

AtR:

AtR 1 :

a

xx 1 x 2

W

L

R 1

M 1

M 1

M

b

R

• a

wa^2

1

2

R

2 w

=W= load per unit of length

W

a+L + b

• a
  R
  w
  M(max) = R

V(max) = wa or R – wa

M 1 =

w(a–x)^2

1

2

M=

w(a+x 1 )^2 – Rx 1

1

2

M=

w(b–x 2 )^2

1

2

M=

wb^2

1

2

M 1 =

R = w[(a + L)^2 + b^2 ]

2 L

R 1 = w[(b + L)^2 + a^2 ]

2 L

CASE 11. Beam Overhanging Both Supported Unsymmetrically Placed—Continuous Load, Uniformly Distributed

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