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Modulus of Elasticity given Deflection at Top Due to Fixed against Rotation Calculator

Formula Used:

\[ E = \frac{P}{\delta \cdot t} \cdot \left( \left( \frac{H}{L} \right)^3 + 3 \cdot \left( \frac{H}{L} \right) \right) \]

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1. What is the Modulus of Elasticity Formula?

The Modulus of Elasticity of Wall Material formula calculates the material's resistance to deformation under load when a wall is fixed against rotation at the top. It's a key parameter in structural engineering for assessing material stiffness.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ E = \frac{P}{\delta \cdot t} \cdot \left( \left( \frac{H}{L} \right)^3 + 3 \cdot \left( \frac{H}{L} \right) \right) \]

Where:

Explanation: The formula accounts for the relationship between applied load, resulting deflection, wall dimensions, and material stiffness.

3. Importance of Modulus of Elasticity Calculation

Details: Accurate calculation of modulus of elasticity is crucial for structural design, predicting deformation under load, and ensuring structural integrity and safety.

4. Using the Calculator

Tips: Enter all values in consistent units (meters for dimensions, Newtons for load). All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is modulus of elasticity?
A: Modulus of elasticity measures a material's stiffness and its resistance to elastic deformation under stress.

Q2: Why is this specific formula used?
A: This formula specifically addresses deflection at the top of a wall that is fixed against rotation, accounting for wall geometry and loading conditions.

Q3: What are typical values for modulus of elasticity?
A: Values vary widely by material: concrete (20-30 GPa), steel (200 GPa), wood (8-14 GPa), masonry (5-20 GPa).

Q4: When should this calculation be used?
A: This calculation is appropriate for analyzing walls fixed against rotation at the top under concentrated loads.

Q5: Are there limitations to this equation?
A: This equation assumes linear elastic behavior, homogeneous material properties, and specific boundary conditions (fixed against rotation).

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