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Theory of Structures

Theory of Structures
The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

2/7
4/7
3/7
1/7

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Theory of Structures
A compound truss may be formed by connecting two simple rigid frames, by

Three bars intersecting at a point
Three bars
three parallel bars
Two bars

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Theory of Structures
In case of principal axes of a section

None of these
Product of moment of inertia is zero
Difference of moment inertia is zero
Sum of moment of inertia is zero

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Theory of Structures
A close coil helical spring when subjected to a moment M having its axis along the axis of the helix

It is subjected to pure bending
All of these
Its number of coils will increase
Its mean diameter will decrease

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Theory of Structures
The moment of inertia of a triangular section (height h, base b) about its base, is

bh³/12
b³h/12
b²h/12
bh²/12

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Theory of Structures
A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

3 mm
5 mm
4 mm
2 mm

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