IntermediateTopic 43 of 106Engineering Mechanics

Stress

Internal force per unit area; normal stress σ=F/A, shear stress τ=V/A.

In depth

Normal stress σ=F/A acts perpendicular to a surface and shear stress τ=V/A parallel to it. Units are pascals (N/m²). Stress at a point depends on the plane considered. Allowable stress is limited by material strength.

Key points

  • Tension positive, compression negative
  • Bearing stress under bolts
  • Average vs local stress
Example

A 10 mm diameter steel rod carrying 20 kN has σ ≈ 255 MPa.

Why it matters

Stress shows how load is shared across a section, and it is the first quantity checked against material strength in any design.

Where this is used

  • Checking the stress in a bolt under preload.
  • Sizing a bar to keep normal stress below an allowable value.
  • Finding the shear stress in a pin of a clevis joint.

Frequently asked questions

What is Stress?

Internal force per unit area; normal stress σ=F/A, shear stress τ=V/A.

Why is it important to understand stress?

Stress shows how load is shared across a section, and it is the first quantity checked against material strength in any design.

What are the units of stress?

Pascals in SI, or newtons per square millimetre, which is equal to megapascals. Engineers usually quote strength in MPa.

Is stress the same as pressure?

They have the same units and are both force per area, but stress is internal in a solid and can be tensile, compressive or shear.

How is Stress used in practice?

Typical applications include checking the stress in a bolt under preload, sizing a bar to keep normal stress below an allowable value and finding the shear stress in a pin of a clevis joint.

What should I learn before Stress?

Study "Banked curves" first (topic 42 of 106 in Engineering Mechanics). It covers the groundwork this topic builds on.

What are the key points of Stress?

Tension positive, compression negative. Bearing stress under bolts. Average vs local stress.

Can you give an example of Stress?

A 10 mm diameter steel rod carrying 20 kN has σ ≈ 255 MPa.

What comes after Stress?

The next topic is "Strain", which builds directly on this one.

How difficult is Stress?

It is classed as Intermediate in Engineering Mechanics (topic 43 of 106). It is an intermediate topic. Work through the beginner topics in Engineering Mechanics first.

Learning path

Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.

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