Yield Strength
Take the minimum yield in psi of the ASTM grade (see our Strength Requirements by Grade Chart for this value), multiplied by the stress area of the specific diameter (see our Thread Pitch Chart). This formula will give you the ultimate yield strength of that size and grade of bolt.
Shear Strength :-
First, find the ultimate tensile strength using the formula above. Take that value and multiply it by 60% (0.60). It is important to understand that this value is only an estimate. Unlike tensile and yield strengths.
Ultimate Tensile Strength
Take the minimum tensile strength in psi of the ASTM grade, multiplied by the stress area of the diameter. This formula will give you the ultimate tensile strength of that size and grade of bolt.
Young's modulus:-
Young's modulus (E or Y) is a measure of a stiffness or resistance to elastic deformation under load. It relates stress (force per unit area) to strain (proportional deformation) along an axis or line. The basic principle is that a material undergoes elastic deformation when it is compressed or extended, returning to its original shape when the load is removed. More deformation occurs in a flexible material compared to that of a stiff material.
Equation and Units
The equation for Young's modulus is:
E = σ / ε = (F/A) / (ΔL/L0) = FL0 / AΔL
Where:
- E is Young's modulus, usually expressed in Pascal (Pa)
- σ is the uniaxial stress
- ε is the strain
- F is the force of compression or extension
- A is the cross-sectional surface area or the cross-section perpendicular to the applied force
- Δ L is the change in length (negative under compression; positive when stretched)
- L0 is the original length
While the SI unit for Young's modulus is Pa, values are most often expressed in terms of megapascal (MPa), Newtons per square millimeter (N/mm2), gigapascals (GPa),
Very useful information.....
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