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Strength of Materials

Strength of Materials
A framed structure is perfect if it contains members equal to (where n = number of joints in a frame)

n-2
2n-l
n-l
2n-3

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Strength of Materials
A number of forces acting at a point will be in equilibrium if

Their total sum is zero
Two resolved parts in two directions at right angles are equal
All of them are inclined equally
Sum of resolved parts in any two perpendicular directions are both zero

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Strength of Materials
The resultant of the following three couples 20 kg force, 0.5 m arm, + ve sense 30 kg force, 1 m arm, – ve sense 40 kg force, 0.25 m arm, + ve sense having arm of 0.5 m will be

10 kg, + ve sense
20 kg, + ve sense
20 kg, – ve sense
10 kg, – ve sense

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Strength of Materials
The center of percussion of the homogeneous rod of length L suspended at the top will be

3L/4
2L/3
L/3
L/2

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Strength of Materials
Two coplanar couples having equal and opposite moments

Are equivalent
Balance each other
Produce a couple and an unbalanced force
Produce a moment of couple

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Strength of Materials
Least force required to draw a body up the inclined plane is W sin (plane inclination + friction angle) applied in the direction

vertically
along the plane
at an angle equal to the angle of friction to the inclined plane
horizontally

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