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Theory of Structures

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

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

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Theory of Structures
In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

L/3
L/4
L/2
L/5

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

4.125 cm²
1.125 cm³
3.125 cm³
2.125 cm³

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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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Theory of Structures
A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is

400 mm
250 mm
200 mm
300 mm

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Theory of Structures
The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is

1/2
1
1/4
2

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