Roof Angle, Pirch, Run, and Slope

Written by Jerry Ratzlaff on . Posted in Civil Engineering

 Roof Angle formulas

\(\large{ Angle = tan^{-1} \; \frac{ Rise }{ Run }  }\)  
\(\large{ Run = \frac{ Rise }{ Slope } \; 100  }\)   
\(\large{ Slope = tan^{-1} \; \frac{ Rise }{ \frac{ Run }{ 12 } }  }\)  

 

Roof Pitch formulas

\(\large{ Pitch = \frac{ Rise }{ \frac{ Run }{ 12 } }  }\)  
\(\large{ Angle = tan^{-1} \; \frac{ Rise }{ Run }  }\)  
\(\large{ Slope = \frac{ Rise }{ Run } \; 100  }\)   

 

Roof Run formulas

\(\large{ Run =  \frac{ Rise }{ tan }  }\)  
\(\large{ Pitch = \frac{ Rise }{ \frac{ Run }{ 12 }  }  }\)  
\(\large{ Slope = \frac{ Rise }{ Run } \; 100  }\)   

 

Roof Slope formulas

\(\large{ Slope = \frac{ Rise }{ Run } \; 100  }\)   
\(\large{ Angle = tan^{-1} \; \frac{ Rise }{ Run }  }\)  
\(\large{ Run = \frac{ 12 \; Rise }{ Pitch }  }\)  

Tags: Equations for Structural