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Theory of Structures

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

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

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Theory of Structures
The equivalent length is of a column of length having both the ends fixed, is

2 L
l
L
L/2

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

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

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Theory of Structures
A lift of weight W is lifted by a rope with an acceleration f. If the area of cross-section of the rope is A, the stress in the rope is

[W (2 + f/G)]/A
[W (1 + f/ G)]/ A
(1 – g/f)/A
[W (2 + g/f)]/A

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Theory of Structures
A masonry dam (density = 20,000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be

75 N/m²
750 N/m²
7500 N/m²
75000 N/m²

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Theory of Structures
A shaft rotating N.R.M. under a torque T, transmits a power

/30 Newton metres/min
/60 Newton metres/min
/30 Newton metres/sec
/60 Newton metres/sec

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