Home
Back
Maximum Deflection Equation:
| From: | To: |
The maximum deflection equation calculates the maximum deflection for an aluminum extrusion simply supported with center point load. This is a fundamental calculation in structural engineering for determining beam deformation under load.
The calculator uses the maximum deflection equation:
Where:
Explanation: The equation calculates the maximum deflection at the center of a simply supported beam with a point load applied at the center. The deflection is directly proportional to the load and the cube of the length, and inversely proportional to the modulus of elasticity and moment of inertia.
Details: Accurate deflection calculation is crucial for structural design to ensure that beams and supports meet required performance standards and safety factors. Excessive deflection can lead to structural failure or functional issues.
Tips: Enter load in Newtons, length in millimeters, modulus for aluminum in MPa, and moment of inertia in mm⁴. All values must be positive numbers.
Q1: What is the typical modulus value for aluminum?
A: The modulus of elasticity for aluminum typically ranges from 68,000 to 71,000 MPa, depending on the specific alloy.
Q2: How do I find the moment of inertia for my extrusion?
A: The moment of inertia is typically provided by the manufacturer in technical specifications or can be calculated based on the cross-sectional geometry.
Q3: Does this equation work for other materials besides aluminum?
A: Yes, the equation is valid for any homogeneous, isotropic material, but you must use the appropriate modulus value for that material.
Q4: What are acceptable deflection limits?
A: Acceptable deflection limits vary by application and are typically specified in building codes or design standards, often as a fraction of the span length.
Q5: Can this calculator be used for distributed loads?
A: No, this specific equation is for center point loads only. Different equations are used for distributed or other load configurations.