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Theory of Structures

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

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

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

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

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

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Theory of Structures
For determining the support reactions at A and B of a three hinged arch, points B and Care joined and produced to intersect the load line at D and a line parallel to the load line through A at D’. Distances AD, DD’ and AD’ when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is

45°
30°
60°
90°

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Theory of Structures
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

w²a
wa/27
wa²/27
wa²

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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 = F – S
Q = S – F

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