Frame Formulas


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Frame 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:

 
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

 

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