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Theory of Structures

Theory of Structures
The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is

Circle
Parabola
Straight line
Ellipse

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Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.707
0.505
0.404
0.303

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Theory of Structures
P = 4π² EI/L² is the equation of Euler's crippling load if

Both the ends are fixed
One end is fixed and other end is free
Both the ends are hinged
One end is fixed and other end is hinged

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Theory of Structures
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

1/2
1/3
1/4
1/8

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Theory of Structures
parabolic arch of span and rise , is given by The equation of a

y = h/l² × (1 – x )
y = 3h/l² × (1 – x)
y = 4h/l² × (1 – x)
y = 2h/l² × (1 – x)

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Theory of Structures
The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is

WL3/3EL
WL3/48EL
WL3/24EL
WL3/8EL

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