Question

An unconstrained 10mm thick plate of steel 100mm on a side with a 25mm diameter hole in the center is heated from 20 degrees C to 120 degrees C. The linear CTE is 12x10-6/⁰C. What is the final diameter of the hole

Answer 1

The correct answer is "25.03 mm".

Step-by-step explanation:

Given:

Thickness of plate,

= 10 mm

On a side,

= 100 mm

Diameter hole,

= 25 mm

Coefficient of thermal expansion,

CTE =
`12* 10^(-6) /^(\circ) C`

Now,

⇒
`D_i* (12* 10^(-6)) \Delta \theta = \Delta D`

=
`25* 12* 10^(-6) \Delta \theta`

=
`3* 10^(-4) \Delta \theta`

=
`3* 10^(-2)`

hence,

The final diameter of hole will be:

`D_f=25.03 \ mm`