Frame Formulas

Frame configurationFrame formulas may be used to determine the internal forces in a frame based on the applied loading and boundary conditions.

Reference Documents:

  1. Formulas for Stress and Strain, Roark & Young, McGraw-Hill
  2. Formulas for Stress, Strain, and Structural Matrices, Pilkey, John Wiley & Sons.

Common Frame Formulas:

 

common frame formulas
 PINNED-PINNED FRAME
WITH UNIFORM LOAD

 

 
 FIXED-FIXED FRAME
WITH UNIFORM LOAD

 
PINNED-PINNED FRAME
WITH POINT LOAD

 

 
 FIXED-FIXED FRAME
WITH POINT LOAD

 


LEGEND: 

a = H / L
b = IHORIZONTAL / IVERTICAL