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Theory of Structures

Theory of Structures
If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

Q = S + F
Q = S – F
Q = S × F
Q = F – S

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Theory of Structures
For beams of uniform strength, if depth is constant,

Width b M 2
Width b M
Width b 1/M
Width b 3 M

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Theory of Structures
The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is

WI²/8
WI²/12
WI/2
WI²/4

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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:

1.125 cm³
4.125 cm²
3.125 cm³
2.125 cm³

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Theory of Structures
A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm², the tensile force developed at a temperature of 50°C, is

150 N/mm²
80 N/mm²
120 N/mm²
100 N/mm 2

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Theory of Structures
The locus of the moment of inertia about inclined axes to the principal axis, is

Straight line
Ellipse
Parabola
Circle

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