Question

The steel rod $A B C$ is attached to rigid supports and is unstressed at a temperature of $25^{\circ} \mathrm{C}$. The stecl is assumed elastoplastic with $E=200$ GPa and $a_{y}=250$ MPa. The temperature of both portions of the rod is then raised to $150^{\circ} \mathrm{C}$. Knowing that $\alpha=11.7 \times 10^{-6} /^{\circ} \mathrm{C}$ determine $(a)$ the stress in both portions of the rod, $(b)$ the deflection of point $C$.

Name: The steel rod A B C is attached to rigid supports and is unstressed at a temperature of 25^∘C. The stecl is assumed elastoplastic with E=200 GPa and ay=250 MPa. The temperature of both portions of the rod is then raised to 150^∘C. Knowing that α=11.7 × 10^-6 /^∘C determine (a) the stress in both portions of the rod, (b) the deflection of point C.
Uploaded: 2022-05-30T07:13:11-08:00
Duration: 6 min 26 s
Channel: Madhur L
Description: The steel rod A B C is attached to rigid supports and is unstressed at a temperature of 25^∘C. The stecl is assumed elastoplastic with E=200 GPa and ay=250 MPa. The temperature of both portions of the rod is then raised to 150^∘C. Knowing that α=11.7 × 10^-6 /^∘C determine (a) the stress in both portions of the rod, (b) the deflection of point C.

          The steel rod $A B C$ is attached to rigid supports and is unstressed at a temperature of $25^{\circ} \mathrm{C}$. The stecl is assumed elastoplastic with $E=200$ GPa and $a_{y}=250$ MPa. The temperature of both portions of the rod is then raised to $150^{\circ} \mathrm{C}$. Knowing that $\alpha=11.7 \times 10^{-6} /^{\circ} \mathrm{C}$ determine $(a)$ the stress in both portions of the rod, $(b)$ the deflection of point $C$.

Added by Robert J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

05/30/2022

Step 1

Given data: Initial temperature, $T_1 = 25°C$ Final temperature, $T_2 = 150°C$ Coefficient of linear expansion, $\alpha = 11.7 \times 10^{-6} /^{\circ} \mathrm{C}$ Young's modulus, $E = 200$ GPa Yield stress, $\sigma_y = 250$ MPa Using the formula for stress due Show more…

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The steel rod $A B C$ is attached to rigid supports and is unstressed at a temperature of $25^{\circ} \mathrm{C}$. The stecl is assumed elastoplastic with $E=200$ GPa and $a_{y}=250$ MPa. The temperature of both portions of the rod is then raised to $150^{\circ} \mathrm{C}$. Knowing that $\alpha=11.7 \times 10^{-6} /^{\circ} \mathrm{C}$ determine $(a)$ the stress in both portions of the rod, $(b)$ the deflection of point $C$.