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If a circular shaft is welded to the plate by means of circumferential fillet, then the shaft is subjected to torsional moment M. If throat of weld is t, then torsional shear stress is given by
- a)M/2πtr²
- b)M/πtr²
- c)M/4πtr²
- d)None of the listed
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If a circular shaft is welded to the plate by means of circumferential...
Explanation: Stress=Mr/J, here J=2πtrᵌ[I(xx)+I(yy)].
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If a circular shaft is welded to the plate by means of circumferential...
B)M/(2πt)
c)2M/(πt)
d)2πM/t
Answer: b) M/(2πt)
Explanation:
When a circular shaft is welded to a plate by means of a circumferential fillet, the weld acts as a torsional load on the shaft. The torsional shear stress at any point on the weld is given by:
τ = T/(2πrt)
where T is the applied torsional moment, r is the radius of the shaft, and t is the throat of the weld.
Since the fillet weld is circumferential, the effective length of the weld is 2πr. Therefore, the total shear force acting on the weld is:
F = τ(2πr)t
Substituting the value of τ, we get:
F = Tt
The shear stress on the weld is maximum at the point where the weld joins the shaft. At this point, the radius of the weld is equal to the radius of the shaft. Therefore, the maximum shear stress on the weld is:
τmax = T/(2πrt)
= M/(2πrt)
where M is the applied torsional moment.
Hence, the torsional shear stress on the shaft is given by: M/(2πt)
c)2M/(πt)
d)2πM/t
Answer: b) M/(2πt)
Explanation:
When a circular shaft is welded to a plate by means of a circumferential fillet, the weld acts as a torsional load on the shaft. The torsional shear stress at any point on the weld is given by:
τ = T/(2πrt)
where T is the applied torsional moment, r is the radius of the shaft, and t is the throat of the weld.
Since the fillet weld is circumferential, the effective length of the weld is 2πr. Therefore, the total shear force acting on the weld is:
F = τ(2πr)t
Substituting the value of τ, we get:
F = Tt
The shear stress on the weld is maximum at the point where the weld joins the shaft. At this point, the radius of the weld is equal to the radius of the shaft. Therefore, the maximum shear stress on the weld is:
τmax = T/(2πrt)
= M/(2πrt)
where M is the applied torsional moment.
Hence, the torsional shear stress on the shaft is given by: M/(2πt)
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If a circular shaft is welded to the plate by means of circumferential fillet, then the shaft is subjected to torsional moment M. If throat of weld is t, then torsional shear stress is given bya)M/2πtr²b)M/πtr²c)M/4πtr²d)None of the listedCorrect answer is option 'A'. Can you explain this answer?
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