**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.

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

**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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