Friday, 16 November 2018

# Static Analysis of Cantilever Beam under Point Load- Vonmises Stress,DOF,Reaction forces,Nodal Solutions etc.

Static Analysis of a Cantilever Beam under Point Load:The main aim of  Static Analysis of  a cantilever beam is to determine the Nodal Deflections,Reaction forces,Stresses induced in the Beam etc.under the application of point load.Here,I am using Keypoints and Lines to construct a rectangular cantilever beam of the given dimensions in the problem.In order to analyse the cantilever beam under the Application of point load in ANSYS Software,we require 4 steps.

I.Preferences
II.Preprocessor
III.Solution
IV.General Post Processor.

Problem:

Determine the Nodal Deflections,Reaction forces and stresses of a Cantilever Beam whose B*H = 100*100,Length of the beam(L) is 200mm,Youngs Modulus(E)=2X105 and Poisson’s Ratio(µ)=0.3.

## Procedure to perform Static Analysis of Cantilever Beam:

The step by step procedure to perform Static Analysis of Structural Cantilever Beam in APDL is as follows.

This can be analyzed in ANSYS Mechanical APDL 15.0 under four stages and are follows.
I.Preferences
II.Preprocessor
1. Element Type
2. Real Constants
3. Material Properties
4. Modeling
5. Sections
6. Meshing
III.Solution
1. Analysis Type
2. Solve
IV.General Post Processor.
1. Plot Results
2. List Results
3. Element Table

The detailed explanation of Static Analysis of Cantilever Beam under these four stages are as follows:

I.PREFERENCESStructural-ok.

### II.PREPROCESSOR:

Element Type:

Real Constants:

There is no need to add the Real Constants for the beam element.

Material Properties:

Material Models–>Structural–>Linear–>Elastic–>Isotropic –>Provide the Young’s Modulus (E= 2X105) and Poisson’s Ratio (µ) =0.3–>OK.

Sections:

Beam–>Common sections–>Take

Sub Type    –        rectangular

Offset to     –        Centroid

Bredth(B)=100mm and Height(H)=100mm

Modelling:

• Create–>Keypoints–>In Active CS–>Provide the Keypoints 1&2 and give their respective values in X,Y&Z Direction as shown below.
 Keypoints X Y Z 1 0 0 0 2 200 0 0
• Lines–>Lines–>Straight Lines–>Now Select the keypoints 1&2. such that the construction of  beam  must be completed with Lines.

Now,you need to mesh the cantilever beam so that the load applied on the beam can be distributed Uniformly on all elements and For Meshing any Component,you need to provide the “Element edge length” depending upon the component imported or drawn into the ANSYS Software.

Meshing:

Size Cntrls–>Manual Size–>Lines–>All Lines–>Element edge length =10 mm–>OK.

As you had given the “Element edge length =10 mm” which means that the total Truss system will divide into 1mm equally so that the load can be distributed uniformly on the whole structure.

Mesh–>Lines–>Click on ‘Pick All’ in the Dialogue box.By Clicking on Pick All button,the software can mesh the body completely.

Constraining the Truss and Application of Loads:

Define Loadsà–>apply–>Structural–>Displacement–>On Keypoints–>Pick the 1st KeypointàApplyàClick on All DOF(Constrained in all Directions)àOK.

Forces:

Define Loads–>Apply–>Structural–>Force/Moment–>On Keypoints–>Select the end Keypoint(i.e.2nd) and apply the force in Vertical(Downward) direction as shown below.

Fy = -10000N

III.SOLUTION

• Analysis Type–>New Analysis–>Static–>OK.
• Solve–>Current LS–>OK.

IV.GENERAL POST PROCESSOR

• Plot Results–>Deformed Shape–>Deformed Shape with Un deformed Model–>OK.
• Plot Results–>Contour Plot–>Nodal Solution–>DOF Solution–>Now take all the displacement in X,Y&Z component of Displacement along with Displacement Vector sum.

Stresses:

Plot Results–>Contour Plot–>Nodal Solution–>Stress–> Now take all the stresses induced in X,Y&Z component of stress along with Vonmises stress.

If the results are not available by the above procedure,then you need to click on

Plotctrls–>Style–>Size&Shape–>Display of Element(ON)–>OK.

Next,Go to

Plot Results–>Contour Plot–>Nodal Solution–>Stress–>Vonmises stress–>Def.shape with

Un def.model–>OK.

The Vonmises stress induced in the cantilever beam is 11.7 N/mm2.

List Results:

Reaction Forces:

General Post Processor–>List Results–>Reaction solutions–>All structural Forces–>OK.Now you can get the Reaction forces at the supports.