Structural Analysis MCQ Set 1
Ray = reaction at support A in y direction.
Sign convention is as usual.
Beam is linear elastic.
Point A is a pin joint and point B and C are roller support. D is just an arbitrary point.
Unit load is applied at point D.
1. What will be the value of Ray in the above figure?
a) Fad/Faa
b) –Fad/Faa
c) Fda/Faa
d) –Fda/Faa
Answer
Answer: b [Reason:] If we remove the support at point A and replace it by force Faa. Due to sign convention, its direction will be initially considered upward.
2. What will be the difference between magnitudes of Fad and Fda?
a) Faa
b) 0
c) Fad
d) Fda
Answer
Answer: b [Reason:] Due to validity of Maxwell’s reciprocal theorem, magnitudes of Fad and Fda will be equal.
3. What is the relation between Fad and Fda?
a) Fad = -Fda
b) Fad = Fda
c) Fad = -2Fda
d) Fad = 2Fda
Answer
Answer: a [Reason:] Magnitudes will be same as stated above. Now, sign will be opposite as slope at B won’t change in deflection diagram and there won’t be and vertical deflection at point C.
4. Which of the following is equal to Ray?
a) Faa/Fda
b) –Faa/Fda
c) Fda/Faa
d) –Fda/Faa
Answer
Answer: c [Reason:] Just replacing the value of Fad in the answer of Q1 will give us the result. This relation will be the basic equation for ILD of indeterminate structures.
5. The relationship between Ray,Fda and Faa is valid only for point A.
State whether the above statement is true or false.
a) true
b) false
Answer
Answer: b [Reason:] It is valid for all supports like B and C, just replace all a’s by that point. We haven’t used any support conditions of point A while deriving this equation.
A is a fixed support and B is roller.
AB = 18m.
C is a point at a distance of 6m from point A.
D is a point at a distance of 6m from point B.
Assume E and I to be given.
6. What is the DSI for this structure?
a) 1
b) 2
c) 3
d) 4
Answer
Answer: a [Reason:] Total 4 unknowns are there and 3 equations are there.
7. How many redundant forces are there in the above structure?
a) 0
b) 1
c) 2
d) 3
Answer
Answer: b [Reason:] 1 redundant force is there as it is equal to DSI.
We have taken the horizontal force at point A as redundant force.
8. Which support should replace fixed support at point A for above condition?
a) pin
b) roller
c) hinge
d) slider mechanism
Answer
Answer: d [Reason:] Only slider will give both moment and vertical reaction.
9. What will be the value of Ray for ILD?
a) 0
b) 1
c) 2
d) -1
Answer
Answer: b [Reason:] Since redundant force is applied at point A, Fda/Faa will be the result unity.
10. What will be the value of Δaa?
a) 544/EI
b) 944/EI
c) 1544/EI
d) 1944/EI
Answer
Answer: d [Reason:] Applying a redundant load of unity on point A and applying conjugate beam method will give the answer easily.
Structural Analysis MCQ Set 2
1. What will be the value of Rba?
a) 1
b) 0
c) 2
d) 3
Answer
Answer: b [Reason:] Δba will be zero as it is roller supported.
2. What will be the value of Rca?
a) 1
b) 0
c) 0.652
d) 0.852
Answer
Answer: d [Reason:] It will be the ration of Δca and Δaa. Δaa is 1944/EI and Δca is 1656/EI.
3. What will be the value of Rda?
a) 1
b) 0
c) 0.481
d) 0.681
Answer
Answer: c [Reason:] It will be the ration of Δda and Δaa. Δaa is 1944/EI and Δca is 936/EI. Join all these point for ILD.
4. What will be the slope of ILD at point A?
a) 1
b) -1
c) 0
d) can’t say
Answer
Answer: c [Reason:] Since point A is fixed joint, slope will always be zero there.
5. What will be the shape of overall ILD?
a) straight line
b) parabola
c) hyperbola
d) arbitrary curve
Answer
Answer: d [Reason:] ILD will be basically(approximately) a line passing through all above points but it will be a type of curve as slope near A will be zero and then slope will change.
A and C is a pin support while B is roller support.
XL and XR are centroid of uniform loading on beams AB and BC respectively.
IL and IR are given.
LR and LL are length of beams.
AR and AL are areas of beams.
6. What is the change in slope at point B?
a) AR . XR/LR
b) AL . XL/IL
c) 0
d) AR . XR/E . LR
Answer
Answer: c [Reason:] Since point B is roller support, there won’t be any change at of slope at point B.
7. Which of the following is method for solving indeterminate structures?
a) 1 moment equation
b) 2 moment equation
c) 3 moment equation
d) 4 moment equation
Answer
Answer: c [Reason:] We will be discussing this method in detail subsequently.
8. 3 moment method is valid in:-
a) single span beams
b) only double span beams
c) double and single span beams
d) only multiple span beams
Answer
Answer: d [Reason:] This method is valid in only multiple span beam i.e. including double span.
9. 3 moment method can be used in:-
a) single span beams
b) only double span beams
c) double and single span beams
d) all types of beams
Answer
Answer: d [Reason:] Although it is not valid for single span beams, it can be used for them using some particular techniques.
Structural Analysis MCQ Set 3
We have followed following sign convention in our questions.
Following sign convention for force direction is followed:-
1. How has been the most popular sign convention has been decided?
a) Logically
b) Arbitrary
c) Easiest to use
d) There is no popular sign convention
Answer
Answer: b [Reason:] It has been decided randomly but, it is the most famous one to be used.
Following figure has been used in Q2-Q7.
In the following figure, all supports are roller type and B and D are hinges. All the options are given in KN and KN/M wherever applicable.
AB = BC = CD = DE = EF = FG = 2m.
2. What will be the internal force generated at hinge B due to the above loading?
a) 5
b) 10
c) 15
d) 20
Answer
Answer: b [Reason:] We will cut out the first part from point A to B (Since, B is a hinge). Now balancing moment about point A, internal force will come out to be 10KN.
3. What will be the internal force generated at hinge D due to the above loading?
a) 5
b) 10
c) 15
d) 20
Answer
Answer: b [Reason:] We can separate the part from point B to D. Now, we have internal load at B so, we can balance moment about point C and find out the force at point D.
4. What will be the support force due to point C?
a) 5
b) 10
c) 15
d) 20
Answer
Answer: d [Reason:] This can be found out by balancing force in the part between both the hinges.
5. What will be the support reaction generated by support A?
a) 5
b) 10
c) 15
d) 20
Answer
Answer: b [Reason:] This can be found out by balancing force in the part between joints A and B.
6. What will be the support reaction generated by support E?
a) 5
b) 7.5
c) 10
d) 12.5
Answer
Answer: b [Reason:] This can be found out by balancing moment about point G in the part between joints D and F.
7. What will be the support reaction generated by support G?
a) 5
b) 7.5
c) 10
d) 12.5
Answer
Answer: d [Reason:] This can be found out by balancing force in the part between joints D and F.
Following figure has been used in Q8-Q10.
All the options are given in KN and KN/M wherever applicable.
Point A is pin support and point D is roller type support. Uniform horizontal load of 80KN/m is acting on beam AB.
AB = 5m, BC = CD = 2m
8. What will be the internal force in y direction at joint B?
a) 5
b) 10
c) 15
d) 20
Answer
Answer: a [Reason:] Balance moment about point A which will give support reaction at point D in Y direction. Now, balance force in y direction in beam BD.
9. What will be the internal force in x direction at joint B?
a) 0
b) 20
c) 30
d) 40
Answer
Answer: a [Reason:] Separate out the part between points B and D and balance the force along x direction.
10. What will be the internal moment generated at joint B due to above shown loading?
a) 170
b) 340
c) 510
d) 680
Answer
Answer: d [Reason:] It can be found out by balancing moment about point B in the part between points B and D.
Structural Analysis MCQ Set 4
1. If influence area contributing to a particular load increases, then what happens to the possibility of having full design load on each square meter of area?
a) Increases
b) Decreases
c) Doesn’t affect
d) Depends on case
Answer
Answer: b [Reason:] As area increases, likelihood of having max. Load decreases due to known forces.
2. Building codes usually permit reduction in live load when small areas are concerned.
State whether this statement is true or false
a) True
b) False
Answer
Answer: b [Reason:] Possibility of having maximum live load decreases as area increases. So, reduction in live load is permitted in cases of large area, not small area.
3. Reduction factors given in Section 4.8 of ASCE 7-02 & in Section 1607.9.1 of IBC-2003 are:-
a) Different
b) Same
c) Vary in some cases
d) There is no reduction factor in Section 4.8 of ASCE 7-02
Answer
Answer: b [Reason:] Both have same reduction factor which is L = Lo(0.25 + (15/((KLL*AT)0.5))).
4. What is the minimum limit of influence area (in sq. ft) till which live loads can be reduced?
a) 100
b) 200
c) 300
d) 400
Answer
Answer: d [Reason:] From the equation of reduction factor, it can be shown that the lower limit is 400sq.ft.
5. In the case of a structural member supporting more than one floor with load exceeding 100psf., what is the maximum permitted reduction %?
a) 10
b) 15
c) 20
d) 25
Answer
Answer: c [Reason:] In buildings supporting more than one floor, studies have shown that rarely it is loaded (a floor) with more than 80% of its design load.
6. Loads used to obtain column design forces and to obtain beam design forces are:-
a) Necessarily same
b) Necessarily different
c) Most likely same
d) Most likely different
Answer
Answer: d [Reason:] This happens because the reduction factor are most likely to be different.
7. When column supports the top floor of a building, then live load reduction is:-
a) Permitted
b) Not permitted
c) Depends upon type of beam
d) Depends upon amount of load
Answer
Answer: b [Reason:] When column support a floor, it should be thought of as supporting a single floor only.
8. Live load element factor KLL remains constant for all types of structure.
State whether this statement is true or false.
a) True
b) False
Answer
Answer: b [Reason:] Live load element factor KLL depends upon type of structure in question.
Structural Analysis MCQ Set 5
1. With the allowable stress method, which conditions are computed?
a) Most severe loading conditions and inelastic stresses
b) Most severe loading conditions and elastic stresses
c) Feeble loading conditions and inelastic stresses
d) Feeble loading conditions and elastic stresses
Answer
Answer: b [Reason:] This method computes most severe loading conditions and elastic stresses but appreciably below the ultimate stresses.
2. Allowable stress method considers which type of loadings?
a) Simultaneous
b) Non- simultaneous
c) Mixture of both
d) Only dead loads
Answer
Answer: a [Reason:] It considers simultaneous loading possibilities to determine most severe loading conditions.
3. Live load and roof live loads are represented by the same symbol.
State whether the above written statement is true or false.
a) True
b) False
Answer
Answer: a [Reason:] L represents live load, while Lr is used to represent roof live load.
4. Which of the following simultaneous loading conditions are not necessary to be considered for the most severe situations:-
a) D + F
b) D + H + F + L + T
c) D + H + F
d) 0.6D + W + H
Answer
Answer: c [Reason:] Necessary conditions are mentioned in Section 2 of ASCE 7-02. These can be matched from there.
5. With which loads are impact effects considered?
a) Rain
b) Snow
c) Live
d) Fluids
Answer
Answer: c [Reason:] Impact effects occur when live loads are quickly applied. So, they are considered with them only.
6. Which of the following load do not vary appreciably with time?
a) Snow
b) Dead
c) Rain
d) Wind
Answer
Answer: b [Reason:] There is never a permanent presence of snow on a structure, nor is that of rain and wind.
7. If a full dead load is not acting during an earthquake or a severe wind storm, then chances of overturning of building will:-
a) Decrease
b) Increase
c) Remain same
d) Depend upon case
Answer
Answer: b [Reason:] Earthquake and wind load acts in lateral direction, enhancing overturning. While, dead load acts in the vertical downward direction resisting overturning.
8. When two or more loads are acting on a structure in addition to dead load, then ASCE permits the loads other than dead loads to be multiplied by a factor of (provided the result is not less than that produced by dead load and the load causing greatest effect)
a) 0.60
b) 0.65
c) 0.70
d) 0.75
Answer
Answer: d [Reason:] In these conditions, most likely loads other than dead one do not achieve their maximum values simultaneously. This assumption is validated by load surveys.
9. In the above question, using factor of 0.75 is:-
a) Compulsory
b) Compulsory in some case
c) Depends upon the engineer
d) Depends upon loads
Answer
Answer: c [Reason:] Factor of 0.75 is only helping in listing the minimum conditions to be considered.
