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Uniform Load Between Two Supports Equations and Calculator

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Beam Three Supports Uniform Load between two supports, Moments, Shear and Reactions Equations and Calculator.

Continuous beam of two equal spans - uniformly distributed load of w in lbf/unit length on one span Calculator.

Figure 1 Continuous beam of two equal spans Indeterminate Beam

Preview: Beam Three Support Two Loads Calculator

Reactions:

Eq. 1
R₁ = (7/16) w L

Eq. 2
R₂ = (5/8) w L

Eq. 3
R₃ = -(1/16) w L

Shear forces:

Eq. 4
V₁ = (7/16) w L

Eq. 5
V₂ = -(9/16) w L

Eq. 6
V₃ = (1/16) w L

Bending moments:

Eq. 7
M_max = (49/512) w L²
Eq. 7a
at x = (7/16) L

Eq. 8
M_R -(1/16) w L² at R₂

Eq. 9
M_max = ( wx / 16 ) ( 7L - 8x), 0 ≤ x ≤ L

Where

w = uniformly distributed load, lbf/in (N/m)
L = beam length, in, (m)
x = location, in (m)
R_{1, 2, 3} = reaction at support , lbf (N)
V_{1, 2, 3} = shear forces lbf, (N)
M_{R, max} = bending moments, lb-in, (N-m)

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Source

Civil Engineering Reference Manual, Fifteenth Edition, Michael R. Lindeburg, PE