Beam Deflection Calculator

Beam Deflection Calculator Guide

This guide will walk you through the process of using the Beam Deflection Calculator to calculate the maximum deflection and stiffness of a beam based on certain input parameters. Follow the steps below to ensure accurate results.

Step 1: Enter Beam Dimensions and Properties

• Beam Length (L): Enter the length of the beam. This is a required field, and the length must be greater than 0.001 units. The input will be in the form of a number.
• Modulus of Elasticity (E): Input the modulus of elasticity of the material the beam is made from. Ensure this value is not less than 1000, as it is a required field. Enter the value in multiples of 1000 for accuracy.
• Moment of Inertia (I): Provide the moment of inertia of the cross-section of the beam. This must be greater than 0.0001, and you should input this value in increments of 0.0001.

Step 2: Select Load Type and Enter Load Magnitude

• Load Type: Choose the type of load from the following options:
  • Point Load at Center
  • Point Load at End
  • Uniformly Distributed Load

  This selection is mandatory to proceed with the calculations.

• Load Magnitude (P or w): Enter the magnitude of the applied load. The magnitude should be a non-negative number and must follow increments of 0.1.

Step 3: Calculate and Interpret Results

• Maximum Deflection: Once all inputs are provided, the calculator will compute the maximum deflection of the beam. The calculation is dependent on the type of load you selected, following these equations:
  • Point Load at Center: ( frac{PL³}{48EI} )
  • Point Load at End: ( frac{PL³}{3EI} )
  • Uniformly Distributed Load: ( frac{5wL⁴}{384EI} )
• Deflection Equation Type: The calculator provides the formula type used for deflection calculation based on your load type. It will display as “y = PL³/48EI”, “y = PL³/3EI”, or “y = 5wL⁴/384EI”.
• Beam Stiffness: The calculator will also compute the stiffness of the beam, which is given by the product of the modulus of elasticity and the moment of inertia (E * I).

After these steps, you will have a clear understanding of the maximum deflection and stiffness of your beam for the given conditions, aiding in structural analysis and design.