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Theory of Structures

Theory of Structures
A truss containing j joints and m members, will be a simple truss if

j = 3m – 2
m = 2j – 3
m = 3j – 2
j = 2m – 3

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Theory of Structures
A masonry dam (density = 20,000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be

750 N/m²
75000 N/m²
7500 N/m²
75 N/m²

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Theory of Structures
A shaft subjected to a bending moment M and a torque T, experiences

Neither A nor B
Maximum bending stress = 32M/πd³
Maximum shear stress = 16 T/πd³
Both A and B

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Theory of Structures
Stress may be expressed in Newtons

None of these
Per centimetre square (N/cm²)
Per metre square (N/m2)
Per millimetre square (N/mm²)

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Theory of Structures
A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

4W²D3n²/d4N
4W²Dn/d4N
4W²D3n/d4N
4WD²n/d4N

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Theory of Structures
Principal planes are subjected to

None of these
Tangential stresses only
Normal stresses as well as tangential stresses
Normal stresses only

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