SIMPLY SUPPORTED BEAM WITH TWO POINT LOADS


Simply supported beam with two point loads calculator for deflection, bending moment and stress calculations.

Simply Supported Beam with Two Loads
INPUT PARAMETERS
Parameter Value
Load 1 [P1]*
Load 2 [P2]*
Beam Length [L] 
Distance a1
Distance a2
Distance x
Modulus of Elasticity [E]
Distance from neutral axis to extreme fibers [c]
Second moment of area [I ]**

Note : Use dot "." as decimal separator.

Note * : P1 and P2 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] ---
Reaction Force 2 [R2] ---
Transverse Shear Force @ distance x [Vx] ---
Maximum Transverse Shear Force [Vmax] ---
Moment @ distance x [Mx] ---
Maximum Moment [Mmax] ---
Slope 1  [θ1] ---
Slope 2 [θ2] ---
Slope @ distance x [θx] ---
Maximum Slope [θmax] ---
Deflection @ distance x [yx] ---
Maximum Deflection [ymax] ---
Bending Stress @ distance x [σx] ---
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

Supplements:

Reference: