Simple Supported Beam Formulas with Bending and Shear Force Diagrams

 

Here,

L = length of Beam, ft.

l = length of Beam, in.

I = Moment of inertia, in⁴

E = Modulus of elasticity, psi.

M = Maximum bending moment, in.-lbs.

V = Shear force, lbs.

R = Reaction load at bending point, lbs.

P = Total concentrated load, lbs.

w = Load per unit length, lbs./in.

W = Total uniform load, lbs.

x = Horizontal distance from reaction to point on bead, in.

∆ = Deflection or deformation, in.

Simple Supported Beam Formulas with Bending and Shear Force Diagrams:

1.   Equally Distributed Load 

2.   Equally Load Partially Distributed

  3.    Equal Load Partially Distributed at One End

 4.   Equal Load Partially Distributed at Each End

  5.   Load Increasing Equally at One End

6.   Load Increasing Regular to Center 

7.    Point Load at Center

8.    Point Load at any Point

9.       Two Equal Symmetrically Placed Point Load

10.       Two Equal Point Load Unsymmetrical Placed

11.       Two Unequal Point Load Unsymmetrical Placed