Question

A motor shaft, with a diameter of 18 mm, experiences an applied compressive load and torque, which creates the corresponding state of stress at the surface of the shaft, as shown in the figure. $$P = 12500 N$$ $$T = 160 N-m$$ $$\tau$$ $$\sigma_x$$ Part A Determine principal stresses, $$\sigma_1$$, $$\sigma_2$$ and $$\sigma_3$$ (in MPa, rounded to the nearest whole number). Input answers separated by a comma.

Name: a motor shaft with a diameter of 18 mm experiences an applied compressive load and torque which creates the corresponding state of stress at the surface of the shaft as shown in the figure p 68273
Uploaded: 2023-07-05T11:13:04-08:00
Duration: 1 min 41 s
Channel: Sri K
Description: a motor shaft with a diameter of 18 mm experiences an applied compressive load and torque which creates the corresponding state of stress at the surface of the shaft as shown in the figure p 68273

          A motor shaft, with a diameter of 18 mm, experiences an applied compressive load and torque, which creates the corresponding state of stress at the surface of the shaft, as shown in the figure.
$$P = 12500 N$$
$$T = 160 N-m$$
$$\tau$$
$$\sigma_x$$
Part A
Determine principal stresses, $$\sigma_1$$, $$\sigma_2$$ and $$\sigma_3$$ (in MPa, rounded to the nearest whole number). Input answers separated by a comma.

a motor shaft with a diameter of 18 mm experiences an applied compressive load and torque which creates the corresponding state of stress at the surface of the shaft as shown in the figure p 68273

Added by Jose Miguel C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

07/05/2023

Step 1

The diameter of the shaft is $d = 18 \text{ mm} = 0.018 \text{ m}$. The radius is $r = d/2 = 0.018/2 = 0.009 \text{ m}$. The cross-sectional area $A$ of the shaft is: $A = \pi r^2 = \pi (0.009 \text{ m})^2 = 8.1 \times 10^{-5} \pi \text{ m}^2 \approx 2.5447 Show more…

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A motor shaft, with a diameter of 18 mm, experiences an applied compressive load and torque, which creates the corresponding state of stress at the surface of the shaft, as shown in the figure. $$P = 12500 N$$ $$T = 160 N-m$$ $$\tau$$ $$\sigma_x$$ Part A Determine principal stresses, $$\sigma_1$$, $$\sigma_2$$ and $$\sigma_3$$ (in MPa, rounded to the nearest whole number). Input answers separated by a comma.