Find your shear force & bending moment diagrams in SolidWorks Simulation for different sectional beam profiles.

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Beam Analysis using SolidWorks Simulation

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What is Beam?
Beam is a Structural member which is acted upon by a system of external
loads at right angle to the axis.

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What happens in a beam?
 When beam Bends
 Top surface is compressed
 Bottom surface is stretched (Tension)
 Strength at centre is not so important
 Concentrate on both areas of a beam to be strong

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How to Design a beam?
 Major Design issues in constructing a beam
 Beam should be light as possible without reducing its strength.
 Strength to weight ratio
 The specific strength is a material's strength (force per unit area at failure) divided by its density. It is
also known as the strength-to-weight ratio or strength/weight ratio.
 Modern beams have made beams to be lighter without compromising on strength

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Classifications of Beams
 Cantilever beams
 Simply or freely supported beam
 Overhanging beam
 Fixed beam
 Continuous Beam
Combinations of above beams
 First three beams comes under Statistically determinate Beams
 Last two comes under statistically in-determinate Beams

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Shear Force & Bending Moment
 Shear Force
Shear Force is the force in the beam acting perpendicular to its longitudinal axis.
 For Design purpose,
The Beam ability to resist shear force is more important than its ability to resist an
axial force.
 Bending Moment
A bending moment is the reaction induced in a structural element when an external
force or moment is applied to the element causing the element to bend.

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Why SF & BM diagrams
Shear force and Bending moment Diagrams used to determine
Size
Type
Shape
Material
So that the given set of loads can support the beam without structure failure.

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Cantilever Beam Analysis
Using SolidWorks Simulation
Name: Alloy Steel
Model type: Linear Elastic Isotropic
Default failure criterion: Max von Mises Stress
Yield strength: 6.20422e+008 N/m^2
Tensile strength: 7.23826e+008 N/m^2
Elastic modulus: 2.1e+011 N/m^2
Poisson's ratio: 0.28
Shear modulus: 7.9e+010 N/m^2
Thermal expansion
coefficient:
1.3e-005 /Kelvin
Beam Details
Section Area 0.01m^2
Length 5000mm
Volume 0.05m^3
Mass Density 7700kg/m^3
Mass 385kg
Weight 3773N
Material Properties
Beam

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Cantilever Beam – Point Load
Fixed End
P = 20KN

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Cantilever Beam – Point Load Results
Stress Result Displacement Result
BM DiagramSF Diagram

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Cantilever Beam – Uniformly Distributed Load
P = 20KN
Fixed End

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Cantilever Beam – Uniformly Distributed Load Results
Stress Result Displacement Result
BM DiagramSF Diagram

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Cantilever Beam – Uniformly Varying Load
P = 20KN
P = 0 N
Fixed End

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Cantilever Beam – Uniformly Varying Load Results
Stress Result Displacement Result
BM DiagramSF Diagram

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Results Comparison
Name Type Min Max
Point Load
Stress Upper bound axial and bending 4.412 N/mm^2 (MPa)
Element: 1
600.000 N/mm^2 (MPa)
Element: 136
Displacement URES: Resultant Displacement 0.000 mm
Node: 137
476.342 mm
Node: 1
Uniformly Distributed Load
Stress Upper bound axial and bending 0.016 N/mm^2 (MPa)
Element: 1
300.000 N/mm^2 (MPa)
Element: 136
Displacement URES: Resultant Displacement 0.000 mm
Node: 137
178.647 mm
Node: 1
Uniformly Varying Load
Stress Upper bound axial and bending 0.000 N/mm^2 (MPa)
Element: 1
500.000 N/mm^2 (MPa)
Element: 136
Displacement URES: Resultant Displacement 0.000 mm
Node: 137
238.222 mm
Node: 1

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