**Problem Statement:** Compute factors of safety, based upon the distortional energy theory, for stress elements at A and B of the bar shown. The bar is made of AISI 1006 cold-drawn steel and is loaded by the forces \( F = 0.55 \, \text{kN} \), \( P = 4.0 \, \text{kN} \), and \( T = 25 \, \text{N} \cdot \text{m} \). **Diagram Description:** The diagram illustrates a bar made of AISI 1006 cold-drawn steel. It is fixed at one end within a perpendicular wall. The bar extends 100 mm from the wall and has a diameter of 15 mm. Various forces and a torque are applied on the free end of the bar: - **F**: A force of \( 0.55 \, \text{kN} \) is applied perpendicular to the cylindrical surface in the \( z \)-direction. - **P**: A force of \( 4.0 \, \text{kN} \) is applied along the axis of the bar in the \( x \)-direction. - **T**: A torque of \( 25 \, \text{N} \cdot \text{m} \) is applied around the \( x \)-axis (aligned with the bar). Stress elements A and B are considered on the surface of the bar for the computation of the factors of safety using the distortional energy theory.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Problem Statement:**

Compute factors of safety, based upon the distortional energy theory, for stress elements at A and B of the bar shown. The bar is made of AISI 1006 cold-drawn steel and is loaded by the forces \( F = 0.55 \, \text{kN} \), \( P = 4.0 \, \text{kN} \), and \( T = 25 \, \text{N} \cdot \text{m} \).

**Diagram Description:**

The diagram illustrates a bar made of AISI 1006 cold-drawn steel. It is fixed at one end within a perpendicular wall. The bar extends 100 mm from the wall and has a diameter of 15 mm. Various forces and a torque are applied on the free end of the bar:

- **F**: A force of \( 0.55 \, \text{kN} \) is applied perpendicular to the cylindrical surface in the \( z \)-direction.
- **P**: A force of \( 4.0 \, \text{kN} \) is applied along the axis of the bar in the \( x \)-direction.
- **T**: A torque of \( 25 \, \text{N} \cdot \text{m} \) is applied around the \( x \)-axis (aligned with the bar).

Stress elements A and B are considered on the surface of the bar for the computation of the factors of safety using the distortional energy theory.
Transcribed Image Text:**Problem Statement:** Compute factors of safety, based upon the distortional energy theory, for stress elements at A and B of the bar shown. The bar is made of AISI 1006 cold-drawn steel and is loaded by the forces \( F = 0.55 \, \text{kN} \), \( P = 4.0 \, \text{kN} \), and \( T = 25 \, \text{N} \cdot \text{m} \). **Diagram Description:** The diagram illustrates a bar made of AISI 1006 cold-drawn steel. It is fixed at one end within a perpendicular wall. The bar extends 100 mm from the wall and has a diameter of 15 mm. Various forces and a torque are applied on the free end of the bar: - **F**: A force of \( 0.55 \, \text{kN} \) is applied perpendicular to the cylindrical surface in the \( z \)-direction. - **P**: A force of \( 4.0 \, \text{kN} \) is applied along the axis of the bar in the \( x \)-direction. - **T**: A torque of \( 25 \, \text{N} \cdot \text{m} \) is applied around the \( x \)-axis (aligned with the bar). Stress elements A and B are considered on the surface of the bar for the computation of the factors of safety using the distortional energy theory.
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