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Modulus of Rigidity Formula:
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The Modulus of Rigidity (also known as shear modulus) is a material property that measures the material's resistance to shear deformation. It is defined as the ratio of shear stress to shear strain within the elastic limit of the material.
The calculator uses the modulus of rigidity formula:
Where:
Explanation: The modulus of rigidity quantifies how much a material will deform under applied shear stress before reaching its elastic limit.
Details: This property is crucial in engineering design, particularly for materials subjected to torsional or shear loads. It helps determine the stiffness and deformation characteristics of materials in structural applications, mechanical components, and manufacturing processes.
Tips: Enter shear stress in Pascals (Pa) and shear strain (dimensionless). Both values must be positive numbers. The calculator will compute the modulus of rigidity in Pascals.
Q1: What are typical values of modulus of rigidity for common materials?
A: Steel: ~79 GPa, Aluminum: ~26 GPa, Concrete: ~12-20 GPa, Rubber: ~0.0001-0.001 GPa. Values vary significantly between materials.
Q2: How does modulus of rigidity relate to other elastic moduli?
A: It relates to Young's modulus (E) and Poisson's ratio (ν) through the formula: \( G = \frac{E}{2(1 + \nu)} \)
Q3: When is modulus of rigidity particularly important?
A: Crucial in designing shafts, springs, fasteners, and any component subjected to torsional or shear loading conditions.
Q4: Does temperature affect modulus of rigidity?
A: Yes, like most material properties, modulus of rigidity typically decreases with increasing temperature.
Q5: Can modulus of rigidity be negative?
A: No, modulus of rigidity is always positive as it represents a material's resistance to deformation.