1. Tension Compression and Shear

Question 1

Equation and Explanation of:

STRESS (σ)

Answer 1

Stress is caused by Tension or Compression in the normal direction of a member.

σ = p/A

where:
p = force
A = Cross-Sectional of member

Question 2

Equation and Explanation of:

Strain (ε)

Answer 2

Strain is the ratio of the amount a member has Deformed (δ) /original length (L)

ε = δ/L

where

δ = Deform Amount (L₁ - L₀)
L = Original Length

Question 3

Equation for Stress using the Young’s Modulus

Answer 3

σ = E ⋅ ε

where:

E = young’s modulus
ε = Strain

Question 4

Equation and Explanation for:

SHEAR (Շ)

Answer 4

Acts tangential to the surface of the material

Շ = V/A

where:

V = the shear force
A = the cross sectional which the force acts

Question 5

What is Bearing Stress
and the equation

Answer 5

σ𝘣 = F𝘣/A𝘣

where:
F𝘣 = Force determined by the cut on the screw
A𝘣 = the thickness of the surface ⋅ diameter of the bolt

Question 6

What is Shear Strain

Answer 6

Shear Strain is a angle measure of the distortion of a particular object after facing shear stress

Question 7

What is Hooke’s Law?

Answer 7

Explains how the Shear Stress and Shear Strain are proportional

Շ = Gγ

where:

Շ = Shear Stress
γ = Shear Strain
G = Shear Modulus of Elasticity

Question 8

How to find the Shear Stress in the plate

Answer 8

We start by thinking of the Stress on the Plate as operating tangent to the Plate. We are only concerned with the area acting on the plane so we use

Շ = F/Aₛ
A𝘣 = π(20mm)(8mm)
F𝘣 = 110kN

Շ = 219MPa