Quick Answer
Cantilever tip deflection (point load): delta = F * L^3 / (3 * E * I)
Calculator
Result Interpretation
The result is computed directly from the entered inputs using delta = F * L^3 / (3 * E * I).
Worked Example
Verified calculation
Given:
- force = 1000
- length = 2
- modulus = 200000000000
- inertia = 0.0001
Expected Result:
- deflection = 0.000133
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from verified test cases.
Formula / Method
delta = F * L^3 / (3 * E * I)Cantilever tip deflection (point load) deterministic formula family family_beam_deflection_cantilever (DETERMINISTIC_AXIOM)
Standards: FormulaLibrary verified formula: family_beam_deflection_cantilever
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| force | Point load | INPUT | Point load |
| length | Beam length | INPUT | Beam length |
| modulus | Elastic modulus | INPUT | Elastic modulus |
| inertia | Second moment of area | INPUT | Second moment of area |
| deflection | Tip deflection | OUTPUT | Tip deflection |
Calculation Steps
- Enter the point load in N.
- Enter the beam length in m.
- Enter the elastic modulus in Pa.
- Enter the second moment of area in m⁴.
- Step 1: Compute tip deflection.
- Read the tip deflection (m) from the results.
Engineering Summary
What is the result of Cantilever tip deflection (point load) computed from the given inputs using delta = F * L^3 / (3 * E * I)? The calculation uses deterministic formula evaluation. This tool is applicable in engineering calculation.
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Notes / Limitations
- ASSUMPTIONPrismatic cantilever beam, concentrated tip load, small deflection
- LIMITATIONValid only within the stated assumptions of Cantilever tip deflection (point load).
Frequently Asked Questions
What does this calculator calculate?
The Cantilever – End Load estimates Tip deflection based on the input parameters you provide
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Point load (N), Beam length (m), Elastic modulus (Pa), Second moment of area (m⁴). Make sure all inputs use the specified units for consistent results
How does Point load affect the results?
The point load directly affects: Tip deflection. Increasing or decreasing this value will change these output values according to the engineering formula
How should I interpret the calculated results?
The calculator provides the following outputs: tip deflection in m. Results are computed from the input values using the defined calculation method. Always verify results against project-specific requirements and applicable standards
What assumptions does this calculator use?
This calculator uses verified engineering formulas; the calculation method is based on deterministic formula evaluation, and references FormulaLibrary verified formula: family_beam_deflection_cantilever. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
When is this calculation useful?
The Cantilever – End Load is useful during preliminary design, feasibility studies, and quick engineering checks in engineering calculation projects. It helps engineers and designers estimate key parameters before proceeding with detailed analysis
Technical Details
- Assumption
- Prismatic cantilever beam, concentrated tip load, small deflection
- Limitation
- Valid only within the stated assumptions of Cantilever tip deflection (point load).
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