SIMPLY SUPPORTED BEAM WITH TWO DISTRIBUTED LOADS

INPUT PARAMETERS
Parameter	Value
Distributed load magnitude at a1 [wa1]		N/m Pa-m Pa-cm Pa-mm lbf/in psi-in psi-ft
Distributed load magnitude at b1[wb1]
Distributed load magnitude at a2[wa2]
Distributed load magnitude at b2[wb2]
Beam Length [L]		mm m inch ft
Distance a1
Distance b1
Distance a2
Distance b2
Distance x
Modulus of Elasticity [E]		GPa ksi
Distance from neutral axis to extreme fibers [c]		mm m inch ft
Second moment of area [I] **		mm^4 cm^4 inch^4 ft^4

Note : Use dot "." as decimal separator.

Note * : w_a1, w_b1, w_a2 and w_b2 are positive in downward direction as shown in the figure and negative in upward direction.

Note ** : For second moment of area calculations of structural beams, visit " Sectional Properties Calculators".

RESULTS
Parameter	Value
Reaction Force 1 [R1]	---	N kN lbf
Reaction Force 2 [R2]	---
Transverse Shear Force @ distance x [Vx]	---
Maximum Transverse Shear Force [Vmax]	---
Moment @ distance x [Mx]	---	N*m kN*m lbf*in lbf*ft
Maximum Moment [Mmax]	---
Slope 1 [θ1]	---	radian degree arcmin arcsec
Slope 2 [θ2]	---
Slope @ distance x [θx]	---
Maximum Slope [θmax]	---
Deflection @ distance x [yx]	---	mm m inch ft
Maximum Deflection [ymax]	---
Bending Stress @ distance x [σx]	---	MPa psi ksi
Maximum Bending Stress [σmax]	---

Note * : R₁ and R₂ are vertical end reactions at the left and right, respectively, and are positive upward. Shear forces and deflections are positive in upward direction and negative in downward direction. All moments are positive when producing compression on the upper portion of the beam cross section. All slopes are positive when up and to the right.

Note: Stresses are positive numbers, and these are stress magnitudes in the beam. It does not distinguish between tension or compression of the structural beam. This distinction depends on which side of the beam's neutral plane c input corresponds.

Slope

Deflection

Moment

Shear Force