Mechanical Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 1 (Q.No. 37)
37.
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
k1+k2
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
29 comments Page 1 of 3.

Swapnil Shinde said:   9 years ago
As the both ends are fixed (then torque could be applied at the junction of the compound shaft ) hence it forms the parallel combination, hence answer will be K1 + K2.

And if one end is free (then torque will be applied at the free end) hence it forms the series combination , and then the answer will be C.

Hope it will clear the doubts.

Koribilli hemanth said:   9 years ago
The given answer is wrong.

The right answer is K1 + K2, as we know that any shaft whether stepped or normal if it fixed rigidly between the two supports, it acts like a parallel shaft. Because if apply torque anywhere on the shaft which is fixed between two rigid supports the angle of deformation of both the shafts is same.

Bindusara said:   1 decade ago
Since the compound shaft is fixed rigidly at both ends the case is similar to that of springs connected in parallel so the equivalent spring constant is K1 + K2.

K s pal said:   1 decade ago
Actually both springs have same magnitude of either compression or elongation [due to fixed] hence connected in parallel. So k1+k2 will be equivalent.

Kikani vishal said:   1 decade ago
Here springs are in parallel because ends are rigid connected. So equivalent spring constant is equal to k1+k2. That is not given in option.

Vicky said:   1 decade ago
Answer is k1+k2, as both the ends are fixed. So it is a case of spring connected in parallel. But answer is not given in option.

Prakash Joshi said:   1 decade ago
This is a case of 2 springs in series. Hence equivalent spring constant will be k1k2/(k1+K2).

C should be answer.

Abin said:   1 decade ago
The equivalent spring constant should be k1k2/(k1+k2) as this is a case of springs in series.

Chandra prakash said:   9 years ago
For series = k1k2/k1+k2.
For parallel = k1 + k2.

But the case is not mentioned in question.

Suresh Kumar said:   9 years ago
These springs are having series connection so the answer must be k1k2/k1+k2.
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