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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
j = 2m – 3
m = 2j – 3
m = 3j – 2

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Theory of Structures
The ratio of lateral strain to axial strain of a homogeneous material, is known

Poisson’s ratio
Hooke’s ratio
Plastic ratio
Yield ratio

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Theory of Structures
In the truss, the force in the member AC is

t tensile
8.75 t tensile
t compressive
6.25 t compressive

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Theory of Structures
A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is

0.407
0.508
0.307
0.207

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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
4WD²n/d4N
4W²D3n/d4N
4W²Dn/d4N

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Theory of Structures
The ratio of circumferential stress to the longitudinal stress in the walls of a cylindrical shell, due to flowing liquid, is

½
1½
1
2

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