Beam Deflection, Stress, Strain Equations and Calculators
Area Moment of Inertia Equations & Calculators
Beam Triangular Shape Deflection Equation Calculator with Variable Shape Fixed End Single Concentrated Force Applied
 Cross Section: Rectangle: width y variable, depth h constant
 Elevation: Rectangal
 Plan: Triangle
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Equations
S_{s} = b d^{2} / 24
I_{2} = b d^{3} / 36
y = 6 P x / ( h^{2} S_{s} )
b_{1} = 6 P l / ( h^{2} S_{s} )
Deflection at A:
f = ( 6 P / b_{1} E ) ( l / h )^{3}
Where:
E = 
Modulus of Elasticity 
psi 
(N/mm^{2}) 
I = 
Moment of Inertia 
in^{4} 
(mm^{4}) 
P = 
Force 
lbf 
(N) 
f = 
Deflection 
inches 
(mm) 
S_{s}= 
Section Modulus 
in^{3} 
(mm^{3}) 
a, b, c, d, x, l = 
Some distance as indicated 
inches 
(mm) 
References:
 Civil Engineering Formulas, Tyler G. Hicks, PE International Engineering Associates
