300+ REAL TIME Structural Analysis Objective Questions & Answers 2023

250+ TOP MCQs on Shear and Moment Diagrams for a Frame-1 and Answers

Structural Analysis Multiple Choice Questions on “Shear and Moment Diagrams for a Frame-1 “.

Following sign convention for force direction is followed:-

For moments, clockwise is considered –ve.

All the options are given in KN and KN/M wherever applicable.
Following figure is used in Q1-Q10.
In the following figure, point A has pin support, while point C has roller type support. Point B is a fixed end.
AB = 4m and BC = 8m.

1. Direction of shear force will always be towards x axis in this frame.
Sate whether the above statement is true or false.
a) True
b) False
Answer: b
Clarification: Direction of shear force is always perpendicular to that of beam. In this frame, orientation of beams is different and so will be that of shear forces.

2. What will be the value of shear force at point A?
a) 100
b) 110
c) 120
d) 130
Answer: c
Clarification: On balancing force in the x direction, we will find that since support C can’t exert any force in x direction, shear force at A will be 120 KN.

3. What will be the shape of SFD of beam AB?
a) Triangular
b) Rectangular
c) Trapezoid
d) Arbitrary curve
Answer: a
Clarification: Since the loading is uniform and parallel to beam AB and point B has no shear, SFD will be of triangular shape.

4. How many points of discontinuities will be there in the SFD of beam BC?
a) 0
b) 1
c) 2
d) 3
Answer: a
Clarification: Since there is no discreet loading on the beam BC so, there won’t be any points of discontinuities in beam BC.

5. What will be the shape of SFD of beam BC?
a) Triangular
b) Rectangular
c) Trapezoid
d) Arbitrary curve
Answer: b
Clarification: There is no point of discontinuity, so the curve will basically two end values. Since both comes out to be same in this case, shape will e rectangular.

6. What will be the shape of BMD of beam AB?
a) Triangular
b) Rectangular
c) Trapezoid
d) Arbitrary curve
Answer: d
Clarification: As the shape of SFD of beam AB is triangular, it will yield on curve on integrating.

7. What will be the slope of BMD of beam AB at point B (options are in degrees)?
a) 0
b) 15
c) 30
d) 45
Answer: a
Clarification: Value of shear at point B is 0 for beam AB. So, slope of BMD will be zero at that point.

8. What will be the shape of BMD of beam BC?
a) Triangular
b) Rectangular
c) Trapezoid
d) Arbitrary curve
Answer: a
Clarification: BMD will be of triangular shape as SFD is of rectangular shape and one end of BMD comes out to be zero.

9. At what point would the slope of BMD of beam AB be 0?
a) A
b) B
c) In between
d) Never
Answer: b
Clarification: Because at point B, shear force comes out to be zero.

10. At what point would the slope of BMD of beam BC be 0?
a) A
b) B
c) In between
d) Never
Answer: d
Clarification: Shear force never becomes zero in the beam BC.

250+ TOP MCQs on Elastic-Beam Theory and Answers

Structural Analysis Multiple Choice Questions on “Elastic-Beam Theory”.

Here, p = the radius of curvature at a specific point on the elastic curve
M = the internal moment in the beam at a point
E = material’s modulus of elasticity
I = the beam’s moment of inertia computed about the neutral axis

1. Which of the following is correct?
a) 1/M = EI/p
b) 1/M = E/pI
c) 1/M = p/EI
d) 1/p = EI/m
Answer: c
Clarification: It can be derived by taking small elements and using Hooke’s law and flexural formula.

2. Elastic-Beam theory can be applied on a non-linear elastic material.[/expand]
State whether the above statement is true or false.
a) True
b) False
Answer: b
Clarification: For elastic-beam theory to be applicable Hooke’s law must be applicable and for that material must behave in a linear-elastic manner.

3. From where is radius of curvature measured?
a) From centre of bar
b) From one of the ends of bar
c) From any internal point
d) From an external point.
Answer: d
Clarification: It is measured from centre of curvature and it lies at an external point.

4. Which of the following can be a possible value of EI?
a) 1
b) -1
c) -2
d) -3
Answer: a
Clarification: It is referred to EI and it is always positive.

5. What is the general form of elastic curve of a beam?
a) Linear first-order differential equation
b) Linear second-order differential equation
c) Non-linear first-order differential equation
d) Non-linear second-order differential equation
Answer: d
Clarification: On expressing 1/p in terms of x and y, we can reach to the curve equation.

6. What is the assumption for deriving above mentioned equation?
a) Deflection is only due to shear force
b) Deflection is only due to bending
c) Deflection is due to both shear and bending
d) Axial forces caused bending
Answer: b
Clarification: While deriving, we have only considered bending forces by assuming that length is much greater than thickness.

7. Slope of a deflected curve is generally:-
a) Very large
b) Very small
c) In between
d) Can’t say
Answer: b
Clarification: Slope is very small and is generally assumed to be zero to predict the curve more properly.

8. On the elastic curve, points will be only displaced vertically not horizontally.
State whether the above statement is true or false.
a) True
b) False
Answer: a
Clarification: Since we have assumed slope to be zero, there won’t be any horizontal displacement.

250+ TOP MCQs on Beams & Frames Static Indeterminacy and Answers

Structural Analysis Multiple Choice Questions on “Beams & Frames Static Indeterminacy”.

1. The number of equilibrium equations for the following space frame is ________

a) 1
b) 3
c) 6
d) 4
Answer: c
Clarification: There are six equilibrium equations available for space frames are as follows ∑Fx=0, ∑Fy=0, ∑Fz=0, ∑Mx=0, ∑My=0, and ∑Mz = 0.

2. Which of the following is statically determinate structure?
a) Fixed beam
b) Continuous beam
c) Two hinged arch
d) Double overhanging
Answer: d
Clarification: Double overhanging can be analysed by available three equilibrium equations i.e. ∑Fx=0, ∑Fy=0, and ∑M = 0.

3. External Static Indeterminacy of the following beam is _______

a) 2
b) 4
c) 3
d) 0
Answer: c
Clarification: This is case of vertical loading only. Static indeterminacy = (2+2+1)–2 = 3.

4. External Static Indeterminacy for the following frame is _____

a) 0
b) 3
c) 4
d) 6
Answer: b
Clarification: Frames are always of General loading case. Static indeterminacy = (3+3)–3=3.

5. External Static Indeterminacy for the following space frame is ________

a) 18
b) 9
c) 6
d) 10
Answer: a
Clarification: This is space frame. Thus, fixed end will have six reactions and available equilibrium equations are also 6. Therefore, External Static Indeterminacy = (6+6+6+6)-6 = 18.

6. Internal Static Indeterminacy for the following space frame is _____

a) 18
b) 9
c) 6
d) 10
Answer: c
Clarification: Internal static indeterminacy of space frame = 6 * no of boxes the structure has. Therefore, Internal static indeterminacy = 6*1 = 6.

7. Force release for the following space frame is _____

a) 3
b) 2
c) 6
d) 0
Answer: c
Clarification: Force release for space frame is given by 3(m-1), where m is the no of member joining at hinged end. Therefore, Force release = 3(3-1) = 3*2 = 6.

8. Static Indterminacy for the following space frame is _____

a) 18
b) 9
c) 6
d) 0
Answer: a
Clarification: Static Equilibrium = External Static Indeterminacy + Internal static indeterminacy – Internal static indeterminacy. Therefore Static Equilibrium = 18 + 6 – 6 = 18.

9. Static Indeterminacy for rigid jointed plane frame is given by __________
a) (m + r) – 2j
b) (m + r) – 3j
c) (3m + r) -3j
d) (6m + r) – 6j
Answer: c
Clarification: Static Indeterminacy for rigid jointed plane frame is given by (3m + r) -3j. Where m, r and j stands for number of members, reactions and number of joints respectively.

10. Stresses will develop due to change in temperature in statically determinate structure.
a) True
b) False
Answer: b
Clarification: Stresses will develop due to change in temperature, sinking of support and lack of fit in statically indeterminate structure only.

250+ TOP MCQs on Shear and Moment Diagrams for a Frame-2 and Answers

Structural Analysis Interview Questions and Answers for Experienced people on “Shear and Moment Diagrams for a Frame-2”.

Following sign convention for force direction is followed:-

For moments, clockwise is considered –ve.
All the options are given in KN and KN/M wherever applicable.
Following figure is used in Q1-Q9.
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

1. Direction of shear force will always be towards x axis in this frame.
Sate whether the above statement is true or false.
a) True
b) False
Answer: b
Clarification: Direction of shear force is always perpendicular to that of beam. In this frame, orientations of beams are different and so will be that of shear forces. One beam is parallel to x axis while the other one is inclined at some angle.

2. What will be the value of shear force at point A?
a) 110
b) 120
c) 130
d) 140
Answer: d
Clarification: Firstly, balance out moment about point A which will give a horizontal force -5KN at support A. Then, balance horizontal force on the entire system which will give a reaction of -240KN at support A. Now, take component of both these forces and shear will come out.

3. What will be the shape of SFD of beam AB?
a) Triangular
b) Rectangular
c) Trapezoid
d) Arbitrary curve
Answer: d
Clarification: Since the loading is uniform but not parallel to beam, it will yield an arbitrary curve.

4. How many points of discontinuities will be there in the SFD of beam BD?
a) 0
b) 1
c) 2
d) 3
Answer: b
Clarification: Since there is one discreet loading on the beam BD at C so, there will be one point of discontinuity in beam BD.

5. What will be the shape of SFD of beam BD?
a) Triangular with discontinuity
b) Rectangular with discontinuity
c) Trapezoid with discontinuity
d) Arbitrary curve
Answer: b
Clarification: Loading on beam BD is discreet, so SFD will be rectangular with discontinuity.

7. What will be the shape of BMD of beam BD?
a) Triangular
b) Rectangular
c) Arbitrary quadrilateral
d) Arbitrary curve
Answer: c
Clarification: SFD is rectangular and one end point is zero, so that will lead to an arbitrary quadrilateral.

8. At what point would the slope of BMD of beam AB be 0?
a) A
b) B
c) In between
d) Never
Answer: c
Clarification: Because at one in between point, shear force comes out to be zero.

9. At what point would the slope of BMD of beam BD be 0?
a) A
b) B
c) In between
d) Never
Answer: d
Clarification: Shear force never becomes zero in the beam BD.

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250+ TOP MCQs on The Double Integration Method and Answers

Structural Analysis Multiple Choice Questions on “The Double-Integration Method”.

1. Which of the following is correct boundary condition for a beam supported by pin at both ends?
a) Displacement at both ends is non-zero
b) Displacement at one of the end is non-zero
c) Displacement at both ends is zero
d) Can’t say
Answer: c
Clarification: Since there will always be a vertical support reaction, displacement at both ends will be zero.

2. Which of the following is false for deflection of a point nearby a fixed support?
a) Displacement is zero
b) Slope is zero
c) Displacement and slope is zero
d) Displacement as well as slope is non-zero
Answer: d
Clarification: Due to presence of vertical reaction and moment, there won’t be any displacement and slope will be zero.

3. The double integration method to calculate slope of deflected beam is applicable only when:-
a) Slope is very large
b) Slope is very small
c) Slope is -ve
d) Slope is +ve
Answer: b
Clarification: During deriving the results, we have assumed that slope is zero once.

4. Which out of the following is true for x axis:-
a) It is parallel to undeflected beam
b) It is perpendicular to undeflected beam
c) It is at 450 to undeflected beam
d) Can’t say
Answer: a
Clarification: During deriving, we have assumed x axis to be parallel to undeflected beam.

5. Where does origin lies?
a) At right of beam
b) At left of beam
c) At right of deflected beam
d) At centre of beam
Answer: b
Clarification: Origin is assumed to be at left of beam and rightward is positive.

6. Positive value of slope is clockwise.
State whether the above statement is true or false.
a) True
b) False
Answer: b
Clarification: Positive value of slope is counter clockwise.

Following is a cantilever beam and its length is Z.
A moment M is applied at the end B.
E and I are given.

7. What is the degree of static indeterminacy of this question?
a) 3
b) 2
c) 1
d) 0
Answer: d
Clarification: This has 3 unknown reactions and three equations which make it statically determinate.

8. What will be value of double differentiation of deflection in y direction wrt distance from point A at point A?
a) M/EI
b) –M/EI
c) 0
d) Can’t say
Answer: a
Clarification: Since moment M is acting counterclockwise, moment at A will be clockwise and will be equal to M.

9. How many boundary conditions will be required to solve this question?
a) 0
b) 1
c) 2
d) 3
Answer: c
Clarification: Since double differentiation of deflection in y direction wrt distance from point A is independent of distance from point A, there will be only two unknown constants which would require 2 equations/boundary conditions.

10. What will be the value of differentiation of deflection in y direction wrt distance from point A at point A?
a) EI
b) 1/EI
c) -EI
d) 0
Answer: d
Clarification: Value will be zero as slope is zero due to fixed support.

11. Value of deflection in y direction at point B will be zero.
State whether the above statement is true or false.
a) True
b) False
Answer: b
Clarification: We can’t predict deflection in y direction at point B as it is a free end.

12. What will be the value of first obtained constant?
a) 0
b) EI
c) -EI
d) 1/EI
Answer: a
Clarification: By replacing value of double differentiation of deflection in y direction wrt distance from point A at point A will give this result.

13. What will be the value of second obtained constant?
a) 0
b) EI
c) -EI
d) 1/EI
Answer: a
Clarification: By replacing value of differentiation of deflection in y direction wrt distance from point A at point A will give this result.

14. What is slope at point B?
a) MZ/EI
b) -MZ/EI
c) 2MZ/EI
d) 0
Answer: a
Clarification: By solving after putting value of first constant will give this MZ/EI.

15. What is deflection in y direction at point B?
a) MZ²/EI
b) – MZ²/EI
c) 2 MZ²/EI
d) 0
Answer: a
Clarification: By solving after putting value of first and second constants will give this MZ²/EI.

250+ TOP MCQs on Trusses Static Indeterminacy and Answers

Structural Analysis Multiple Choice Questions on “Trusses Static Indeterminacy”.

1. Statically indeterminate structure requires _______
a) Equilibrium Conditions Only
b) Compatibility Conditions Only
c) Equilibrium and Compatibility Condition together
d) Cannot be solved analytically
Answer: c
Clarification: Determination of unknown forces or reactions in statically indeterminate structure requires Equilibrium and Compatibility Condition together.

2. Indeterminate structures are economical than determinate structure.
a) True
b) False
Answer: a
Clarification: Bending Moment is less in indeterminate structure as compared to determinate structure for the same set of loadings. Thus, lower bending moment value requires lesser depth of sections which ultimately reduces the cross sectional area of the structure. Hence, indeterminate structure are more economical than determinate structure.

3. To convert indeterminate structure to a determinate structure, number of force release to be provided equals to _______
a) Number of equilibriums equations for the respective structures available
b) External Static Indeterminacy only
c) Internal Static Indeterminacy only
d) Static Indeterminacy
Answer: d
Clarification: To convert indeterminate structure to a determinate structure, Number of force releases to be provided equals to the static indeterminacy of the structure.

4. The following structure is _________

a) Stable
b) Statically Unstable
c) Geometrically Unstable
d) Internally Unstable
Answer: c
Clarification: The above structure is unstable as the minimum reactions for existence of the structure is 3. The reaction for roller support is 1, thus total reaction is (1+1) = 2. Hence, above structure is statically unstable.

5. The following structure is _______

a) Stable
b) Statically Unstable
c) Geometrically Unstable
d) Internally Unstable
Answer: d
Clarification: The following structure has minimum three reaction required for statically stability, it has no concurrent reactions and thus it is geometrically stable. But the given has three internal hinges and thus it is internally unstable.

6. The following structure is ________

a) Stable
b) Statically Unstable
c) Geometrically Unstable
d) Internally Unstable
Answer: a
Clarification: The following structure has minimum three reaction required for statically stability, it has no concurrent reactions and thus it is geometrically stable. It regains its original position if laterally displaced. Hence, it’s a stable structure.

7. Static Indeterminacy for pin jointed plane frame is given by ________
a) (m + r) – 2j
b) (m + r) – 3j
c) (3m + r) -3j
d) (6m + r) – 6j
Answer: a
Clarification: Static Indeterminacy for plane jointed plane frame is given by (m + r) -2j. Here, m – no of member, r – number of reaction, j – number of joints.

8. Force releases by Vertical Shear Hinge is _______

a) Number of member – 1
b) 3*(Number of member-1)
c) 2
d) 1
Answer: d
Clarification: The number of force release for vertical hinge is 1. The only force release in vertical hinge is shear force.

9. Force releases by Link is _______

a) Number of member – 1
b) 3*(Number of member-1)
c) 2
d) 1
Answer: c
Clarification: Links can carry axial force only. Links cannot carry or transfer shear force and bending Moment. Therefore, force releases for links is 2.

10. Which of the option is correct for mechanism in truss?
a) M = 2J – 3
b) M < 2J -3
c) M > 2J – 3
d) Over stiff truss is example of mechanism in truss
Answer: b
Clarification: Mechanism means unstable or deficient frame. Number of members in truss when less than 2J-3 is known as mechanism.