**Solid Bar Under Combined Loading****Description:**Consider a **solid bar** with a diameter of **1.00 in**, subjected to a bending moment \( M \), and a twisting moment \( T \), with equal magnitudes such that \( M = T \).**Diagram Explanation:**The diagram shows a cylindrical bar with arrows indicating the direction of the bending moment \( M \) and twisting moment \( T \). The y and x axes are shown in a coordinate frame at the center of the bar, perpendicular and parallel to the bar's length, respectively.**Questions:**a) If the bar is made of a **brittle material** that fails in uniaxial tension at **6000 psi**, what is the minimum value of \( M \) and \( T \) that would cause brittle failure?- Make a sketch of the bar and show the orientation of the fracture plane relative to the axial direction of the bar.b) If the bar is made of a **ductile material** with a yield stress of **36000 psi**, what is the minimum value of \( M \) and \( T \) that would cause yielding? Assume **von Mises theory**.**Hint:** Start by determining the state of stress at a point on the top of the bar.

The diameter of the solid bar is .The moment and twisting moment are equal in magnitude..The failure…

Consider a solid bar with 1.00 in diameter subjected to a bending moment, M, and a twisting moment, T, with equal magnitudes, so that M = T. M a) If the bar is made of a brittle material that fails in uniaxial tension at 6000 psi, what is the minimum value of M and I that would cause brittle failure? Make a sketch of the bar and show the orientation of the fracture plane relative to the axial direction of the bar. b) If the bar is made of a ductile material with yield stress of 36000 psi, what is the minimum value of M and T that would cause yielding? Assume von-Mises theory.

Consider a solid bar with 1.00 in diameter subjected to a bending moment, M, and a twisting moment, T, with equal magnitudes, so that M = T. M a) If the bar is made of a brittle material that fails in uniaxial tension at 6000 psi, what is the minimum value of M and I that would cause brittle failure? Make a sketch of the bar and show the orientation of the fracture plane relative to the axial direction of the bar. b) If the bar is made of a ductile material with yield stress of 36000 psi, what is the minimum value of M and T that would cause yielding? Assume von-Mises theory.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

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**Solid Bar Under Combined Loading**

**Description:**

Consider a **solid bar** with a diameter of **1.00 in**, subjected to a bending moment \( M \), and a twisting moment \( T \), with equal magnitudes such that \( M = T \).

**Diagram Explanation:**

The diagram shows a cylindrical bar with arrows indicating the direction of the bending moment \( M \) and twisting moment \( T \). The y and x axes are shown in a coordinate frame at the center of the bar, perpendicular and parallel to the bar's length, respectively.

**Questions:**

a) If the bar is made of a **brittle material** that fails in uniaxial tension at **6000 psi**, what is the minimum value of \( M \) and \( T \) that would cause brittle failure?

- Make a sketch of the bar and show the orientation of the fracture plane relative to the axial direction of the bar.

b) If the bar is made of a **ductile material** with a yield stress of **36000 psi**, what is the minimum value of \( M \) and \( T \) that would cause yielding? Assume **von Mises theory**.

**Hint:** Start by determining the state of stress at a point on the top of the bar.

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