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A composite shaft consisting of two stepped portions having spring constants k1 and k2 is held between two rigid supports at the ends. Its equivalent spring constant is
- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
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A composite shaft consisting of two stepped portions having spring con...
To find the equivalent spring constant of the composite shaft, we can use the concept of parallel and series combination of springs.
The composite shaft consists of two stepped portions, each with a different spring constant. Let the spring constants of the two portions be k1 and k2.
Step 1: Find the equivalent spring constant of the first portion (k1).
The first portion of the shaft has a spring constant of k1. Therefore, the equivalent spring constant of this portion is k1.
Step 2: Find the equivalent spring constant of the second portion (k2).
The second portion of the shaft has a spring constant of k2. Therefore, the equivalent spring constant of this portion is k2.
Step 3: Find the equivalent spring constant of the composite shaft.
Since the two portions of the shaft are in series, the equivalent spring constant of the composite shaft can be found using the formula:
1/keq = 1/k1 + 1/k2
where keq is the equivalent spring constant of the composite shaft.
Simplifying the equation, we get:
keq = (k1 * k2) / (k1 + k2)
Therefore, the equivalent spring constant of the composite shaft is (k1 * k2) / (k1 + k2).
Answer: (D) (k1 * k2) / (k1 + k2)
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A composite shaft consisting of two stepped portions having spring con...
To find the equivalent spring constant of the composite shaft, we can use the concept of parallel and series combination of springs.
The composite shaft consists of two stepped portions, each with a different spring constant. Let the spring constants of the two portions be k1 and k2.
Step 1: Find the equivalent spring constant of the first portion (k1).
The first portion of the shaft has a spring constant of k1. Therefore, the equivalent spring constant of this portion is k1.
Step 2: Find the equivalent spring constant of the second portion (k2).
The second portion of the shaft has a spring constant of k2. Therefore, the equivalent spring constant of this portion is k2.
Step 3: Find the equivalent spring constant of the composite shaft.
Since the two portions of the shaft are in series, the equivalent spring constant of the composite shaft can be found using the formula:
1/keq = 1/k1 + 1/k2
where keq is the equivalent spring constant of the composite shaft.
Simplifying the equation, we get:
keq = (k1 * k2) / (k1 + k2)
Therefore, the equivalent spring constant of the composite shaft is (k1 * k2) / (k1 + k2).
Answer: (D) (k1 * k2) / (k1 + k2)
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A composite shaft consisting of two stepped portions having spring constantsk1andk2is held between two rigid supports at the ends. Its equivalent spring constant isa)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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A composite shaft consisting of two stepped portions having spring constantsk1andk2is held between two rigid supports at the ends. Its equivalent spring constant isa)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A composite shaft consisting of two stepped portions having spring constantsk1andk2is held between two rigid supports at the ends. Its equivalent spring constant isa)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A composite shaft consisting of two stepped portions having spring constantsk1andk2is held between two rigid supports at the ends. Its equivalent spring constant isa)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
A composite shaft consisting of two stepped portions having spring constantsk1andk2is held between two rigid supports at the ends. Its equivalent spring constant isa)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A composite shaft consisting of two stepped portions having spring constantsk1andk2is held between two rigid supports at the ends. Its equivalent spring constant isa)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A composite shaft consisting of two stepped portions having spring constantsk1andk2is held between two rigid supports at the ends. Its equivalent spring constant isa)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
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