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Theory of Structures

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

0.404
0.707
0.505
0.303

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Theory of Structures
A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is

L/d
(L/2d)²
L/2d
(L/3d)²

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Theory of Structures
A compound truss may be formed by connecting two simple rigid frames, by

Three bars
Two bars
three parallel bars
Three bars intersecting at a point

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Theory of Structures
The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch).

200/EIc
50/EIc
100/EIc
150/EIc

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

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

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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
200 mm
300 mm
250 mm

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