a. A stainless-steel ring is 50 mm diameter and 2 mm thickness must be fitted into a steel shaft with 50.04 mm diameter. If the initial temperature is 20° C and the coefficient of linear expansion is 15x106 per degree C (17.3 x 10-6 per Kelvin). Work out the temperature, which is required to fit the ring on the shaft. Also calculate the stress and force induced to the ring if the young's modulus of steel is 205 GPa.
a. A stainless-steel ring is 50 mm diameter and 2 mm thickness must be fitted into a steel shaft with 50.04 mm diameter. If the initial temperature is 20° C and the coefficient of linear expansion is 15x106 per degree C (17.3 x 10-6 per Kelvin). Work out the temperature, which is required to fit the ring on the shaft. Also calculate the stress and force induced to the ring if the young's modulus of steel is 205 GPa.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Task 3 (P6&P7)
a. A stainless-steel ring is 50 mm diameter and 2 mm thickness must be fitted into a steel shaft
with 50.04 mm diameter. If the initial temperature is 20° C and the coefficient of linear
expansion is 15x106 per degree C (17.3 x 106 per Kelvin). Work out the temperature, which
is required to fit the ring on the shaft. Also calculate the stress and force induced to the ring
if the young's modulus of steel is 205 GPa.
b. Copper sheet covers a wall and has an area 20 m2 at 15 °C. Calculate the change in area
when the environment temperature is increased up to 80° C. The coefficient of linear
expansion for copper is 16.5 x 10-6 per Kelvin.
c. An Aluminium bar welded to the bottom of a skillet weigh 1.5 kg. How much heat is needed
to raise the temperature of aluminium bar from 25° C to 170°C, if the specific heat capacity
of Al is 0.9 kJ/kg K.
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