1. What is Modulus of Rigidity?

The Modulus of Rigidity (G), also known as shear modulus, is a measure of a material's stiffness in shear deformation. For concrete, it quantifies how the material resists deformation when subjected to shear stress.

2. How Does the Calculator Work?

The calculator uses the Modulus of Rigidity formula:

Where:

• \( G \) — Modulus of Rigidity (Pascals)
• \( \tau \) — Shear stress (Pascals)
• \( \gamma \) — Shear strain (dimensionless)

Explanation: The equation shows the relationship between shear stress, shear strain, and the material's rigidity.

3. Importance of Modulus of Rigidity

Details: The Modulus of Rigidity is crucial in structural engineering for designing concrete elements subjected to shear forces, such as beams, columns, and slabs.

4. Using the Calculator

Tips: Enter shear stress in Pascals and shear strain (dimensionless). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are typical values of G for concrete?
A: For normal concrete, G typically ranges between 10-20 GPa (10,000-20,000 MPa).

Q2: How does G relate to other elastic constants?
A: G is related to Young's modulus (E) and Poisson's ratio (ν) by: \( G = \frac{E}{2(1+\nu)} \).

Q3: Why is G important in concrete design?
A: It helps predict shear deformation and is essential in torsion and shear design of concrete members.

Q4: Does G change with concrete strength?
A: Yes, higher strength concrete generally has higher G values as it's stiffer.

Q5: How is shear strain measured?
A: Shear strain is typically measured in laboratory tests using strain gauges or calculated from displacement measurements.