please help ### Problem Statement:**Which failure theory would be appropriate to solve the following problem:**A rotating shaft is supported by bearings at each end. The shaft supports a single load in the center.### Possible Answers:- Endurance Limit- Modified Mohr Theory- Coulomb-Mohr Theory- Maximum Normal Stress Theory- Goodman Criterion- von Mises- Maximum Shear Stress Theory- Distortion Energy Theory### Explanation of Theories:1. **Endurance Limit**: Refers to the maximum stress a material can withstand for an infinite number of cycles without breaking.2. **Modified Mohr Theory**: An extension of Mohr's theory that considers both normal and shear stress to predict failure in ductile materials.3. **Coulomb-Mohr Theory**: Combines Coulomb's frictional failure theory with Mohr's theory to predict failure in brittle materials.4. **Maximum Normal Stress Theory** (Rankine Theory): Predicts failure when the maximum normal stress in a material reaches a critical value.5. **Goodman Criterion**: Used to predict the fatigue life of a material by considering mean and alternating stresses.6. **von Mises** (Distortion Energy Theory): Predicts failure when the distortion energy in a material reaches a certain value, particularly useful for ductile materials.7. **Maximum Shear Stress Theory** (Tresca Theory): Predicts failure when the maximum shear stress in a material reaches or exceeds the shear stress at yielding.8. **Distortion Energy Theory** (von Mises Theory): Often used interchangeably with the von Mises theory, focusing on the energy distortion in predicting failure.This educational material helps students understand different failure theories and apply them to a practical problem involving a rotating shaft supported by bearings, subject to a central load. Each theory provides insight into when and why materials might fail under different types of stress and loading conditions.

Given:A rotating shaft is supported by bearings at each end. The shaft supports a single load in the…

Answered: Which failure theory would be…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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1) Find the factor of fatigue safety using Goodman failure criterion
i li. الامتحان هو سؤالان فقط Q. 1: If a material is cast iron (ultimate tensile strength = 300 Mpa, ultimate compressive strength - 900 Mpa) and the stress state at a point is shown in Fig. 1. Using a graphical method, find safety factor against static failure using 100 Mpa (a) Rankine failure theory (b) Coloumb - Mohr theory (c) Modified Coloumb - Mohr theory 50 Мра إضافة ملف Q.2 For a rotating shaft of diameter 15 mm as shown in Fig. 2. If the material is AISI-1045 CD, Find the safety factor II >
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1) A shaft, mounted in bearings at A and D, holds pulleys at B and C. All forces shown represent belt pulls. The shaft is made from ASTM grade 25 cast iron (Sur-26 kpsi, Suc-97 kpsi). The application requires a safety factor of SF=2.8. What diameter should be used for the shaft? [Remember, cast iron is a brittle material and brittle materials use Modified Mohr Theory] 300 lb 6" D. 50 lb fe 8" D. 27 lb 360 lb D 7" 6°
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Which failure theory would be appropriate to solve the following problem: A rotating shaft is supported by bearings at each end. The shaft supports a single load in the center.