Level -01 (Questions)
01. A simply supported beam having an internal hinge is a
(a) Structure
(b) Mechanism
(c) Elastic Body
(d) None
Ans: (b)
Sol :
- The simply supported beam with an internal hinge is unstable. Unstable structures are called mechanisms.
- The deflected profile of mechanism is linear.
02. Elastic structural analysis makes use of
(a) Linear stress - strain relation only
(b) Elasticity only
(c) Elastic and linear stress - strain relation
(d) Elastic but either linear or no linear
stress strain relation.
Ans: (c)
Sol:
- On unloading Deformation shall be recovered completely in the similar direction to that of loading.
- Linear stress strain relation.
03. A determinate structure
(a) Cannot be analyzed without correct Knowledge of modulus of elasticity
(b) Must necessarily have roller support at one of its ends
(c) Requires only statical equilibrium equations for its analysis
(d) Will have zero deflection at its ends.
Ans: (c)
- Determinate structures are independent of material and sectional properties. Hence option'a'wrong.
- Cantilever shown below is determinate structure. Which shows option 'b' is wrong.
- Further free end of cantilever has finite deflection. Which shows option'd'wrong.
04. A statically indeterminate structure is the one which
(a) can not be analyzed at all
(b) can be analyzed using equations of static's only
(c) can be analyzed using equations of static's and compatibility equations
(d) can be analyzed using equations of compatibility only
Ans: (c)
Sol:
- Equilibrium equations deal with the balancing of forces.
- Compatibility equations deal with the balancing of displacements.
05. Calculate static indeterminacy
(a) 2
(b) 3
(c) 4
(d) 0
Ans: (b)
Dse = r - 3 r=6
=6-3
Dse= 3
Dsi = 3 x C = 0 C=0 (No.of Close Boxes)
Ds= Dse + Dsi
= 3 + 0
= 3
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