Beam Analysis
Model
The model with applied forces and constraints is shown below.
Beam Length
228.0 in
Material Properties
Name
Yield Strength
Ultimate Strength
Elastic Modulus
Poisson's Ratio
Example Material 1, Fictitious
20,000 psi
40,000 psi
12.00E6 psi
0.30
Cross Section Properties
Description
Area
Moment of Inertia
Rectangle, 4.0 in x 2.0 in
8.000 in^2
10.67 in^4
Results Overview
The max displacement and slope are given below.
Max Displacement
Max Slope
Value
3.414 in
2.932 deg
Location
116.0 in
228.0 in
The Free Body Diagram (FBD) and deformed mesh are shown below.
Shear-Moment Diagram
The shear and moment diagrams are shown below. The standard sign conventions for shear-moment diagrams are
followed:
●
●
Shear: Positive shear causes clockwise rotation of the beam, negative shear causes counter-clockwise rotation.
Moment: Positive moment will compress the top of the beam and elongate the bottom of the beam (i.e. make
the beam "smile").
Shear Peak Values
Location
0.000 in
60.00 in
60.00 in
144.0 in
228.0 in
Value
1,124 lbf
1,124 lbf
123.7 lbf
123.7 lbf
-1,909 lbf
Moment Peak Values
Location
146.8 in
Value
77,967 in*lbf
Stress Plots
The stress plots are shown below.
Displacement Plots
The displacement plots are shown below. The sign convention for displacements is:
●
●
●
X: Positive to right, negative to left
Y: Positive up, negative down
Rotation: Right hand rule (positive counterclockwise, negative clockwise)