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Machine Design

Machine Design
The deflection of a cantilever beam under load W is 8. If its width is halved, then the deflection under load W will be

43869
43929
44047
44045

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Machine Design
A closely coiled helical spring is acted upon by an axial force. The maximum shear stress developed in the spring is τ. The half of the length of the spring if cut off and the remaining spring is acted upon by the same axial force. The maximum shear stress in the spring in new condition will be

4 τ
τ/2
2 τ
τ

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Machine Design
The strap end of a connecting rod of steam engine is joined by

Gib of cotter joint
Spigot socket cotter joint
Sleeve and cotter joint
Knuckle joint

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Machine Design
Two closely coiled helical springs with stiffness k₁ and k₂ respectively are connected in series. The stiffness of an equivalent spring is given by

(k₁ k₂)/ (k₁ + k₂)
(k₁ + k₂)/ (k₁ k₂)
(k₁ - k₂)/ (k₁ + k₂)
(k₁ - k₂)/ (k₁ k₂)

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Machine Design
A plate with an elliptical hole in the centre, with semi-major axis (a) perpendicular to the direction of loading and semi-minor axis (b) along the direction of loading, is subjected to a pull P. The maximum stress induced at the edge of the hole is equal to (where σ = Stress for a plate with no hole i.e. nominal stress)

σ [1 + (3a/b)]
σ [1 + (b/3a)]
σ [1 + (b/2a)]
σ [1 + (2a/b)]

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Machine Design
A transmission shaft includes

Line shaft
Over head shaft
All of these
Counter shaft

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