Learning Goal:

A material undergoing uniaxial elastic deformation obeys

Hooke's law. This law states that the stress is proportional

to the strain, or $=Elon.$ The proportionality constant is

called Young's modulus, or the modulus of elasticity.

Stress is a measure of force per unit area. When the stress

is uniform over a region, it can be calculated using

$=\frac{F}{A},$ where $F$ is the load supported by the region, and

$A$ is the area of the region.

Strain is a measure of change in length per unit length, or

$lon=\frac{L}{L}$

A circular rod with a gage length of $3\mathrm{.}3$ m and a diameter of $2\mathrm{.}7$

cm is subjected to an axial load of $58$ kN $.$ If the modulus of

elasticity is $200$ GPa $,$ what is the change in length?

Express your answer with appropriate units to three

significant figures.

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Part B $-$ Modulus of elasticity

A circular rod with a length of $3\mathrm{.}9$ m and a diameter of $2\mathrm{.}8$ cm

is subjected to an axial load of $50$ kN $.$ If the resulting change

in length is $3\mathrm{.}06$ mm $,$ what is the modulus of elasticity?

Express your answer with appropriate units to three

significant figures.

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Figure

$1$ of $1$

Part C $-$ Applied load

A circular rod with a length of $3$ m and a diameter of $3$ cm is

subjected to an axial load and increases in length by

$3\mathrm{.}94$ mm $.$ The initial portion of the stress$-$strain curve of the

material is given $($Figure $1).$ What is the applied load?

Express your answer with appropriate units to three

significant figures.

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