Home
Verification Problems
Solved verification models.
Static Analysis
SS-V: 1120 Simply Supported Beam with Mid-span Load
Test No. VS13 Find the max displacement and stress for a pinned beam with load at the midpoint.

Welcome
What's New
View new features for SimSolid 2024.
Get Started
Learn the basics and discover the workspace.
Tutorials
Discover SimSolid functionality with interactive tutorials.
Interface with External Products
Interfaces that support SimSolid output file format.
Geometry
Information about treatment and properties of geometric entities in SimSolid.
Assembly
Summary of available functionality for defining the properties and behavior of parts in the model.
Connections
Connections are used to define the association of different regions of interest between parts in an assembly.
Create Analysis
Create an analysis for your project.
Boundary Conditions
Boundary Conditions available for SimSolid.
Post Processing
Run analyses and view a variety of results in SimSolid.
Design Study
Design studies allow you to quickly evaluate and compare the structural performance from different design scenarios.
Verification Problems
Solved verification models.
- Introduction
  The purpose and format of the SimSolid verification problems document.
- Access the Model Files
  Learn how to access and download required model files.
- Static Analysis
  - SS-V: 1000 Straight Cantilever Beam
    Test No. VS01 Find tip deflections of a cantilever beam when subjected to extension, shear, and twisting loads.
  - SS-V: 1010 Twisted Cantilever Beam
    Test No. VS02 Find tip deflections of a twisted cantilever beam when subjected to shear loads.
  - SS-V: 1020 Curved Beam
    Test No. VS03 Find tip deflections of a curved beam when subjected to in-plane and out-of-plane loads.
  - SS-V: 1030 Simply Supported Thin Plate
    Test No. VS04 Obtain the displacement at the center of a simple supported thin plate for concentrated load and uniform pressure load.
  - SS-V: 1040 Clamped Thin Plate
    Test No. VS05 Obtain the displacement at the center of a clamped thin plate for concentrated load and uniform pressure load.
  - SS-V: 1050 Tapered Solid Bar
    Test No. VS06 Determine the maximum axial deflection and axial stress at the mid-length for a tapered solid bar.
  - SS-V: 1060 Cantilever Plate
    Test No. VS07 Find bending stress at fixed end for a cantilevered plate subjected to a vertical shear load of 120 lbs.
  - SS-V: 1070 Plate with a Hole
    Test No. VS08 Find the maximum stress of a plate with a hole.
  - SS-V: 1080 Scordelis-Lo Roof
    Test No. VS09 Find the maximum Z displacement for a curved cylindrical dome.
  - SS-V: 1090 Stepped Shaft with Fillet
    Test No. VS10 Find the stress concentration in a filleted notch.
  - SS-V: 1100 Raasch Challenge
    Test No. VS11 Find the tip displacement at the free end of a thick, doubly curved beam.
  - SS-V: 1110 Notched Plate
    Test No. VS12 Find Sx stress in the notch and top face of a notched plate.
  - SS-V: 1120 Simply Supported Beam with Mid-span Load
    Test No. VS13 Find the max displacement and stress for a pinned beam with load at the midpoint.
  - SS-V: 1130 Skew Plate Under Pressure
    Test No. VS14 Find the maximum principle stress at the skew plate center at point E.
  - SS-V: 1140 Stress Concentration of Filleted Bar
    Test No. VS15 Find maximum normal stress for two configurations of a filleted bar.
  - SS-V: 1150 Buckling
    Test No. VS16 Find the critical compression load at which the cantilever beam buckles.
  - SS-V: 1160 Stress Concentration in a Groove Shaft
    Test No. VS17 Find the stress concentration in a grooved shaft.
  - SS-V: 1170 Stress Concentration of a Plate with Eccentric Hole
    Test No. VS18 Find the stress concentration in a plate with eccentric hole.
  - SS-V: 1180 Stress Concentration in a Filleted Notch
    Test No. VS19 Find the stress concentration in a filleted notch when torque is applied.
  - SS-V: 1190 Stress Concentration of a Plate with Semi-circular Holes
    Test No. VS20 Find the stress concentration in a plate with semi-circular holes.
  - SS-V: 1200 Tangential Edge Stress in an Elliptic Membrane
    Test No. VS21 Find the tangential edge stress in an elliptic membrane.
  - SS-V: 1210 Tangential Stress for a Cylindrical Shell
    Test No. VS22 Find outer surface tangential stress for a cylindrical shell.
  - SS-V: 1220 Displacements in Hemispherical Shell
    Test No. VS23 Find displacements in a hemispherical shell.
- Modal Analysis
- Thermal Analysis
- Thermal Loading
- Non-linear
- Dynamics

SS-V: 1120 Simply Supported Beam with Mid-span Load

Test No. VS13 Find the max displacement and stress for a pinned beam with load at the midpoint.

Definition

The units are SI.

Results

The reference solution for max displacement is given by:

δ_{m a x} = \frac{F L^{3}}{48 E I}

Where,

$I = \frac{b h^{3}}{12}$

The reference solution for max displacement is given by:

σ_{m a x} = \frac{F L}{4 Z}

Where,

$Z = \frac{b h^{2}}{6}$

The following table summarizes the displacement and stress results.


	Reference	SimSolid	% Difference
Max Displacement [mm]	1.0714E+00	1.0765E+00	0.48%
Max Stress [MPa]	1.5000E+02	1.4975E+02	0.17%