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A shaft of length L is made of two materials, one in the inner core and the other in the outer rim, and the two are perfectly joined together (no slip at the interface) along the entire length of the shaft. The diameter of the inner core is di and the external diameter of the rim is do , as shown in the figure. The modulus of rigidity of the core and rim materials are Gi and Go , respectively. It is given that do = 2di and Gi = 3Go . When the shaft is twisted by application of a torque along the shaft axis, the maximum shear stress developed in the outer rim and the inner core turn out to be τo and τi , respectively. All the deformations are in the elastic range and stress strain relations are linear. Then the ratio is ______ (round off to 2 decimal places)
    Correct answer is '1.5'. Can you explain this answer?
    Most Upvoted Answer
    A shaft of length L is made of two materials, one in the inner core an...
    Given: 
    d0 = 2dj
    Gi = 3G0
    Core and Rim are perfectly joined (no slip)

    From Torsion equation, 

     …(i)
    For core, 

    From equation (i) & (ii)

    Hence, the ratio  is 1.5
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    A shaft of length L is made of two materials, one in the inner core and the other in the outer rim, and the two are perfectly joined together (no slip at the interface) along the entire length of the shaft. The diameter of the inner core is di and the external diameter of the rim is do , as shown in the figure. The modulus of rigidity of the core and rim materials are Gi and Go , respectively. It is given that do = 2di and Gi = 3Go . When the shaft is twisted by application of a torque along the shaft axis, the maximum shear stress developed in the outer rim and the inner core turn out to be τo and τi , respectively. All the deformations are in the elastic range and stress strain relations are linear. Then the ratiois ______ (round off to 2decimal places)Correct answer is '1.5'. Can you explain this answer?
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    A shaft of length L is made of two materials, one in the inner core and the other in the outer rim, and the two are perfectly joined together (no slip at the interface) along the entire length of the shaft. The diameter of the inner core is di and the external diameter of the rim is do , as shown in the figure. The modulus of rigidity of the core and rim materials are Gi and Go , respectively. It is given that do = 2di and Gi = 3Go . When the shaft is twisted by application of a torque along the shaft axis, the maximum shear stress developed in the outer rim and the inner core turn out to be τo and τi , respectively. All the deformations are in the elastic range and stress strain relations are linear. Then the ratiois ______ (round off to 2decimal places)Correct answer is '1.5'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A shaft of length L is made of two materials, one in the inner core and the other in the outer rim, and the two are perfectly joined together (no slip at the interface) along the entire length of the shaft. The diameter of the inner core is di and the external diameter of the rim is do , as shown in the figure. The modulus of rigidity of the core and rim materials are Gi and Go , respectively. It is given that do = 2di and Gi = 3Go . When the shaft is twisted by application of a torque along the shaft axis, the maximum shear stress developed in the outer rim and the inner core turn out to be τo and τi , respectively. All the deformations are in the elastic range and stress strain relations are linear. Then the ratiois ______ (round off to 2decimal places)Correct answer is '1.5'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shaft of length L is made of two materials, one in the inner core and the other in the outer rim, and the two are perfectly joined together (no slip at the interface) along the entire length of the shaft. The diameter of the inner core is di and the external diameter of the rim is do , as shown in the figure. The modulus of rigidity of the core and rim materials are Gi and Go , respectively. It is given that do = 2di and Gi = 3Go . When the shaft is twisted by application of a torque along the shaft axis, the maximum shear stress developed in the outer rim and the inner core turn out to be τo and τi , respectively. All the deformations are in the elastic range and stress strain relations are linear. Then the ratiois ______ (round off to 2decimal places)Correct answer is '1.5'. Can you explain this answer?.
    Solutions for A shaft of length L is made of two materials, one in the inner core and the other in the outer rim, and the two are perfectly joined together (no slip at the interface) along the entire length of the shaft. The diameter of the inner core is di and the external diameter of the rim is do , as shown in the figure. The modulus of rigidity of the core and rim materials are Gi and Go , respectively. It is given that do = 2di and Gi = 3Go . When the shaft is twisted by application of a torque along the shaft axis, the maximum shear stress developed in the outer rim and the inner core turn out to be τo and τi , respectively. All the deformations are in the elastic range and stress strain relations are linear. Then the ratiois ______ (round off to 2decimal places)Correct answer is '1.5'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
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