CIVIL ENGINEERING FORMULAS

CASE 3. Beam Supported Both Ends—Two Unequal Concentrated Loads, Unequally Distributed

R =

1

L

W (L – a) + W 1 b M =a

L

W (L – a) + W 1 b

M 1 =

b

L

Wa + W 1 (L – b)

M= W

a

L

bx

L

(L – x) + W 1

R 1 =

1

L

Wa + W 1 (L – b)

V (max) = Maximum reaction

At point of load W:

At point of load W 1 :

Atx: when x > a and < (L – b) Atx: when x > a or < (L – b)

V = R – W

R

W

a

x

L

b

W 1

M

M 1

V

R 1

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