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Mechanics and Materials

Bulk properties of solids

  • 7 things to know
  • Papers 1 and 3

Overview

Density, Hooke's law, the spring constant, stress, strain, elastic strain energy and stress-strain curves.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

How is density defined, what does Hooke's law state, and what is the elastic limit?

Numbers

What is the spring constant, and how does it relate to stiffness?

Numbers

What is tensile stress, and how is it calculated?

Numbers

What is tensile strain, and why does it have no units?

Numbers

How is elastic strain energy calculated, and when does E = ½FΔL apply?

Numbers

What does a stress-strain curve show, and what does its linear gradient give?

Numbers

Why does energy absorption matter in vehicle design?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How is density defined?

    Model answer

    Density is defined as mass per unit volume.

  2. 2

    State the formula used to calculate density and define each symbol.

    Model answer

    ρ = m/V, where ρ is density, m is mass, and V is volume.

  3. 3

    Calculate the density when mass = 47.8 kg, volume = 0.0235 m³.

    Model answer

    Density = 47.8 ÷ 0.0235 = 2030 kg m⁻³.

  4. 4

    What does Hooke's law state about the relationship between force and extension?

    Model answer

    The extension of a spring is directly proportional to the applied force, provided the elastic limit is not exceeded.

  5. 5

    Define the elastic limit of a material.

    Model answer

    The elastic limit is the maximum force or extension beyond which a material no longer returns to its original length when the force is removed.

  6. 6

    What happens to a spring if it is stretched beyond its elastic limit?

    Model answer

    The spring will not return to its original length when the force is removed; it becomes permanently deformed.

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