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Physics
23.11.2022 07:52
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A circular rod with a gage length of 3.2 mm and a diameter of 2 cmcm is subjected

A circular rod with a gage length of 3.2 mm and a diameter of 2 cmcm is subjected to an axial load of 57 kNkN . If the modulus of elasticity is 200 GPaGPa , what is the change in length?
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xuzixin2004
xuzixin2004
5,0(62 marks)

To solve this problem we will apply the concepts related to the change in length given by the following relation,

\delta_l = \frac{Pl}{AE}

Here the variables mean the following,

P = Load

l = Length

A = Area

E = Modulus of elasticity

Our values are,

l = 3.2 m

\phi = 2cm = 0.02m

P = 57kN = 57*10^3N

E = 200Gpa

We can obtain the value of the Area through the geometrical relation:

A = \frac{\pi}{4} \phi^2

Replacing,

A = \frac{\pi}{4} (0.02)^2

A = 3.14*10^{-4}m^2

Using our first equation,

\delta_l = \frac{Pl}{AE}

\delta_l = \frac{(57*10^3)(3.2)}{(3.14*10^{-2})(200*10^9)}

\delta_l = 0.000029044m

\delta_l = 0.029044mm

Therefore the change in length is 0.029mm

ozheng24112
ozheng24112
4,6(50 marks)
C maybe don’t count on it 100%

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