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Strength of Materials

Strength of Materials
A force is completely defined when we specify

point of application
All of the listed here
direction
magnitude

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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
10 kg, – ve sense
20 kg, + ve sense

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

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

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Strength of Materials
If n = number of members andy = number of joints, then for a perfect frame, n =

(d)3/-2
(b)2j-l
j-2
2/-3

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Strength of Materials
D Alembert’s principle is used for

stability of floating bodies
designing safe structures
determining stresses in the truss
reducing the problem of kinetics to equivalent statics problem

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Strength of Materials
If three forces acting in one plane upon a rigid body, keep it in equilibrium, then they must either

at least two of them must meet
be all parallel
All of the listed here
meet in a point

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