Theory of Structures Quiz

Theory of Structures Quiz Set-1

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Welcome to “Theory of Structures Quiz Set-1 [2025]”!

In this blog, we’ve curated 50+ thought-provoking multiple-choice questions covering the fundamental and advanced concepts of the theory of structures. “Theory of Structures Quiz Set-1 [2025]” is designed to help you refresh your basics, challenge your knowledge, and gain practical insights into the analysis and behavior of structural systems.

Whether you’re a civil engineering student, a structural engineering professional, or preparing for competitive exams, this quiz is the perfect way to enhance your expertise in the theory of structures.

Let’s dive into the “Theory of Structures Quiz Set-1 [2025]” and start exploring!

Theory of Structures Quiz

Theory of Structures

Theory of Structures, Theory of Structures is a branch of civil and mechanical engineering that deals with the behavior of structures under loads. It involves the analysis and design of structures to ensure they can safely carry loads without failure or excessive deformation. The fundamental goal is to predict how different materials, shapes, and sizes of structural components will respond to forces such as compression, tension, bending, shear, and torsion.

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In moment distribution method, the sum of distribution factors of all the members meeting at any joint is always

2 / 61

The principle of virtual work can be applied to elastic system by considering the virtual work of

3 / 61

For a two-hinged arch, if one of the supports settles down vertically, then the horizontal

4 / 61

Effects of shear force and axial force on plastic moment capacity of a structure are respectively to

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For a two-hinged arch, if one of the supports settles down vertically, then the horizontal

6 / 61

Degree of kinematic indeterminacy of a pin-jointed plane frame is given by

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Which of the following methods of structural analysis is a displacement method

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In the displacement method of structural analysis, the basic unknowns are

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The fixed support in a real beam becomes in the conjugate beam a

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The width of the analogous column in the method of column analogy is

11 / 61

A simply supported beam deflects by 5 mm when it is subjected to a concentrated load of 10 kN at its center. What will be deflection in a 1/10 model of the beam if the model is subjected to a 1 kN load at its center?

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The deformation of a spring produced by a unit load is called

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For a single point load W moving on a symmetrical three hinged parabolic arch of span L, the maximum sagging moment occurs at a distance x from ends. The value of x is

14 / 61

Muller Breslau's principle for obtaining influence lines is applicable
i) trusses
ii) statically determinate beams and frames
iii) statically indeterminate structures, the material of which is elastic and follows Hooke's law
iv) any statically indeterminate structure
The correct answer is

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Consider the following statements: Sinking of an intermediate support of a
continuous beam
1. reduces the negative moment at support.
2. increases the negative moment at support.
3. reduces the positive moment at support.
4. increases the positive moment at the center of span.
Of these statements

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When a load crosses a through type Pratt truss in the direction left to right, the nature of force in any diagonal member in the left half of the span

17 / 61

The fixed support in a real beam becomes in the conjugate beam a

18 / 61

In the displacement method of structural analysis, the basic unknowns are

19 / 61

Which of the following methods of structural analysis is a displacement method?

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Which of the following methods of structural analysis is a force method?

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Effects of shear force and axial force on plastic moment capacity of a structure are respectively to

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For stable structures, one of the important properties of flexibility and stiffness matrices is that the elements on the main diagonal

i) of a stiffness matrix must be positive
ii) of a stiffness matrix must be negative
iii) of a flexibility matrix must be positive
iv) of a flexibility matrix must be negative
The correct answer is

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To generate the j th column of the flexibility matrix

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Select the correct statement

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Study the following statements.
i) The displacement method is more useful when degree of kinematic indeterminacy is greater than the degree of static indeterminacy.

ii) The displacement method is more useful when degree of kinematic indeterminacy is less than the degree of static indeterminacy.
iii) The force method is more useful when degree of static indeterminacy is greater than the degree of kinematic indeterminacy.
iv) The force method is more useful when degree of static indeterminacy is less than the degree of kinematic indeterminacy.
The correct answer is

26 / 61

Which of the following is not the displacement method?

27 / 61

When a series of wheel loads crosses a simply supported girder, the maximum bending moment under any given wheel load occurs when

28 / 61

When a uniformly distributed load, shorter than the span of the girder, moves from left to right, then the conditions for maximum bending moment at a section is that

29 / 61

When a uniformly distributed load, longer than the span of the girder, moves from left to right, then the maximum bending moment at mid section of span occurs when the uniformly distributed load occupies

30 / 61

The maximum bending moment due to a train of wheel loads on a simply supported girder

31 / 61

A single rolling load of 8 kN rolls along a girder of 15 m span. The absolute maximum bending moment will be

32 / 61

For a symmetrical two hinged parabolic arch, if one of the supports settles horizontally, then the horizontal thrust

33 / 61

For a two-hinged arch, if one of the supports settles down vertically, then the horizontal thrust

34 / 61

Bending moment at any section in a conjugate beam gives in the actual beam

35 / 61

The Castigliano's second theorem can be used to compute deflections

36 / 61

While using three moments equation, a fixed end of a continuous beam is replaced by an additional span of

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The three moments equation is applicable only when

38 / 61

In the slope deflection equations, the deformations are considered to be caused by

39 / 61

The deflection at any point of a perfect frame can be obtained by applying a unit load at the joint in

40 / 61

The degree of static indeterminacy up to which column analogy method can be used is

41 / 61

In column analogy method, the area of an analogous column for a fixed beam of span L and flexural rigidity EI is taken as

42 / 61

In moment distribution method, the sum of distribution factors of all the members meeting at any joint is always

43 / 61

The carryover factor in a prismatic member whose far end is fixed is

44 / 61

Principle of superposition is applicable when

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Castigliano's first theorem is applicable

46 / 61

The principle of virtual work can be applied to elastic system by considering the virtual work of

47 / 61

If in a rigid-jointed space frame, (6m + r) < 6j, then the frame is

48 / 61

The number of independent displacement components at each joint of a rigid-jointed space frame is

49 / 61

The deflection at any point of a perfect frame can be obtained by applying a unit load at the joint in

50 / 61

The degree of static indeterminacy of a rigid-jointed space frame is

51 / 61

The degree of static indeterminacy of a pin-jointed space frame is given by .....

where m is number of unknown member forces, r is unknown reaction components and j is number of joints

52 / 61

The number of independent equations to be satisfied for static equilibrium in a space structure is

53 / 61

A rigid-jointed plane frame is stable and statically determinate if

54 / 61

A pin-jointed plane frame is unstable if .....

where m is number of members, r is reaction components and j is number of
joints

55 / 61

If in a pin-jointed plane frame (m + r) > 2j, then the frame is ...........

where m is number of members, r is reaction components and j is number of
joints

56 / 61

Independent displacement components at each joint of a rigid-jointed plane frame are

57 / 61

Degree of static indeterminacy of a rigid-jointed plane frame having 15 members, 3 reaction components and 14 joints is

58 / 61

A load 'W is moving from left to right support on a simply supported beam of span T. The maximum bending moment at 0.4 1 from the left support is

59 / 61

Muller Breslau's principle for obtaining influence lines is applicable

60 / 61

The number of independent equations to be satisfied for static equilibrium of a plane structure is

61 / 61

Principle of superposition is applicable when

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Theory of Structures: 

The Theory of Structures is a cornerstone of civil engineering, playing a crucial role in the design, analysis, and construction of structures. From bridges and buildings to towers and dams, understanding the behavior of structures under various loads is essential to ensure their safety, functionality, and durability. In this blog, we will explore the fundamental principles, methods, and applications of the Theory of Structures, highlighting its significance in the field of engineering.

What is the Theory of Structures?

The Theory of Structures is a branch of engineering that focuses on analyzing and predicting how structures respond to various forces, such as loads, stresses, and environmental conditions. It ensures that structures are stable, strong, and capable of withstanding the forces they are subjected to during their lifecycle.

Principles of the Theory of Structures

  1. Equilibrium:
    • A structure must be in a state of equilibrium, meaning all forces and moments acting on it must balance out.
    • This principle is governed by Newton’s laws of motion.
  2. Compatibility:
    • Deformations in a structure must be consistent with its boundary conditions and constraints.
    • Ensures that no part of the structure experiences unintended displacements or distortions.
  3. Stress-Strain Relationship:
    • Describes how materials deform under applied forces.
    • Governed by Hooke’s Law for elastic materials and extended to plastic behavior for other cases.
  4. Load Distribution:
    • Loads must be properly distributed to prevent localized stress concentrations that can lead to failure.

Types of Structures

  1. Rigid Structures:
    • Structures that do not deform significantly under load, such as steel frames and reinforced concrete.
  2. Flexible Structures:
    • Structures that allow for significant deformation, like suspension bridges and cables.
  3. Static Structures:
    • Structures that remain stationary under load, such as buildings and towers.
  4. Dynamic Structures:
    • Structures designed to accommodate movement, such as moving bridges and earthquake-resistant buildings.

Methods of Structural Analysis

  1. Analytical Methods:
    • Use mathematical equations to calculate forces, moments, and deformations.
    • Examples include the method of joints, method of sections, and moment distribution method.
  2. Graphical Methods:
    • Use diagrams and graphical representations to analyze structures.
    • Examples include force diagrams and bending moment diagrams.
  3. Numerical Methods:
    • Use computational techniques to solve complex structural problems.
    • Finite Element Method (FEM) is a popular numerical approach.
  4. Experimental Methods:
    • Use physical models and tests to study structural behavior.
    • Commonly used for large or unique structures.

Common Structural Elements

  1. Beams:
    • Horizontal members that resist bending and shear forces.
    • Used in floors, roofs, and bridges.
  2. Columns:
    • Vertical members that resist compressive forces.
    • Provide support to beams and slabs.
  3. Trusses:
    • Frameworks of interconnected members that resist axial forces.
    • Common in bridges and roofs.
  4. Slabs:
    • Flat, horizontal surfaces that distribute loads.
    • Used in floors and roofs.
  5. Arches:
    • Curved members that primarily resist compressive forces.
    • Found in bridges, doors, and windows.

Applications of the Theory of Structures

  1. Building Design:
    • Ensures that residential, commercial, and industrial buildings are safe and functional.
  2. Bridge Engineering:
    • Helps design bridges to withstand traffic loads, wind, and environmental factors.
  3. Tower Construction:
    • Ensures stability and strength in tall structures like transmission towers and skyscrapers.
  4. Earthquake Engineering:
    • Designs structures to resist seismic forces and minimize damage during earthquakes.
  5. Dams and Reservoirs:
    • Ensures the stability of water-retaining structures under hydrostatic and hydrodynamic forces.

Challenges in Structural Engineering

  1. Material Limitations:
    • Materials like concrete and steel have specific limitations in strength and durability.
  2. Dynamic Loads:
    • Structures must withstand varying loads, such as wind, earthquakes, and moving vehicles.
  3. Environmental Factors:
    • Corrosion, temperature changes, and weathering can affect structural performance.
  4. Complex Designs:
    • Modern architectural trends demand innovative and complex structural designs.

Modern Advancements in Structural Engineering

  1. Finite Element Analysis (FEA):
    • Allows engineers to model and analyze complex structures with high accuracy.
  2. Smart Materials:
    • Materials that adapt to changing conditions, such as shape-memory alloys and self-healing concrete.
  3. Building Information Modeling (BIM):
    • Integrates structural design with 3D modeling and project management tools.
  4. Sustainable Design:
    • Focuses on eco-friendly materials and energy-efficient structures.
  5. Advanced Construction Techniques:
    • Includes prefabrication, modular construction, and 3D printing of structural components.
strength of meterials

Strength of Materials

Strength of Materials (also known as Mechanics of Materials) is a branch of solid mechanics that focuses on the behavior of solid objects under various types of load. It is essential for understanding how materials deform and fail when subjected to forces, moments, and other external conditions.

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If a three hinged parabolic arch carries a uniformly distributed load over the entire span, then any section of the arch is subjected to

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According to Eddy's theorem, the vertical intercept between the linear arch and the centre line of actual arch at any point represents to some scale

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Internal forces at every cross-section in a arch are

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The effect of arching a beam is

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Slenderness ratio of a 5 m long column hinged at both ends and having a circular cross-section with diameter 160 mm is

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A long column has maximum crippling load when its

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Euler's formula for a mild steel long column hinged at both ends is not valid for slenderness ratio

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When both ends of a column are fixed, the crippling load is P. If one end of the column is made free, the value of crippling load will be changed to

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Buckling load for a given column depends upon

10 / 60

Deflection in a leaf spring is more if its

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Laminated springs are subjected to

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A laminated spring is supported at

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A laminated spring is given an initial curvature because

14 / 60

A simply supported beam with rectangular cross-section is subjected to a central concentrated load. If the width and depth of the beam are doubled, then the deflection at the centre of the beam will be reduced to

15 / 60

If the length of a simply supported beam carrying a concentrated load at the centre is doubled, the defection at the centre will become

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A cantilever beam carries a uniformly distributed load from fixed end to the centre of the beam in the first case and a uniformly distributed load of same intensity from centre of the beam to the free end in the second case. The ratio of deflections in the two cases is

17 / 60

If the deflection at the free end of a uniformly loaded cantilever beam of length 1 m is equal to 7.5 mm, then the slope at the free end is

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If the deflection at the free end of a uniformly loaded cantilever beam is 15mm and the slope of the deflection curve at the free end is 0.02 radian, then the length of the beam is

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A beam ABC rests on simple supports at A and B with BC as an overhang. D is centre of span AB. If in the first case a concentrated load P acts at C while in the second case load P acts at D, then the

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A beam of overall length / rests on two simple supports with equal overhangs on both sides. Two equal loads act at the free ends. If the deflection at the centre of the beam is the same as at either end, then the length of either overhang is

21 / 60

The portion, which should be removed from top and bottom of a circular cross section of diameter d in order to obtain maximum section modulus, is

22 / 60

Two beams, one of circular cross-section and other of square cross-section, have equal areas of cross-section. If subjected to bending

23 / 60

For no torsion, the plane of bending should

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A beam of uniform strength has at every cross-section same

25 / 60

A beam of triangular cross section is placed with its base horizontal. The maximum shear stress intensity in the section will be

26 / 60

A prismatic bar when subjected to pure bending assumes the shape of

27 / 60

A beam of square cross-section with side 100 mm is placed with one diagonal vertical. If the shear force acting on the section is 10 kN, the maximum shear stress is

28 / 60

A beam of rectangular cross-section is 100 mm wide and 200 mm deep. If the section is subjected to a shear force of 20 kN, then the maximum shear stress in the section is

29 / 60

A flitched beam consists of a wooden joist 150 mm wide and 300 mm deep strengthened by steel plates 10 mm thick and 300 mm deep one on either side of the joist. If modulus of elasticity of steel is 20 times that of wood, then the width of equivalent wooden section will be

30 / 60

Of the two prismatic beams of same material, length and flexural strength, one is circular and other is square in cross-section. The ratio of weights of circular and square beams is

31 / 60

Of the several prismatic beams of equal lengths, the strongest in flexure is the one having maximum

32 / 60

A portion of a beam between two sections is said to be in pure bending when there is

33 / 60

A prismatic beam of length 1 and fixed at both ends carries a uniformly distributed load. The distance of points of contraflexure from either end is

34 / 60

A beam of overall length 1 with equal overhangs on both sides carries a uniformly distributed load over the entire length. To have numerically equal bending moments at centre of the beam and at supports, the distance between the supports should be

35 / 60

A prismatic beam fixed at both ends carries a uniformly distributed load. The ratio of bending moment at the supports to the bending moment at mid-span is

36 / 60

A cantilever beam AB of length 1 carries a concentrated load W at its midspan C. If the free end B is supported on a rigid prop, then there is a point of contraflexure

37 / 60

The maximum bending moment due to a moving load on a fixed ended beam occurs

38 / 60

The variation of the bending moment in the portion of a beam carrying linearly varying load is

39 / 60

The difference in ordinate of the shear curve between any two sections is equal to the area under

40 / 60

The diagram showing the variation of axial load along the span is called

41 / 60

Rate of change of bending moment is equal to

42 / 60

Maximum bending moment in a beam occurs where

43 / 60

According to Rankine's hypothesis, the criterion of failure of a brittle material is

44 / 60

The state of pure shear stress is produced by

45 / 60

Shear stress on principal planes is

46 / 60

The radius of Mohr's circle for two equal unlike principal stresses of magnitude p is

47 / 60

The sum of normal stresses is

48 / 60

If a prismatic member with area of cross-section A is subjected to a tensile load P, then the maximum shear stress and its inclination with the direction of load respectively are

49 / 60

If the rivet value is 16.8 kN and force in the member is 16.3 kN, then the number of rivets required for the connection of the member to a gusset plate is

50 / 60

Effective throat thickness of a fillet weld is

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Weakest section in a fillet weld is

52 / 60

Truss shown in the figure is called as-

strenth of metrials multiple choice question

53 / 60

The effective length of a fillet weld designed to transmit axial load shall not be less than

54 / 60

Size of a right angled fillet weld is given by

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Effective length of a weld is equal to

56 / 60

If a composite bar of steel and copper is heated, then the copper bar will be under

57 / 60

Two bars of different materials are of the same size and are subjected to same tensile forces. If the bars have unit elongations in the ratio of 4 : 7, then the ratio of moduli of elasticity of the two materials is

58 / 60

If a material has identical properties in all directions, it is said to be

59 / 60

The elongation of a conical bar under its own weight is equal to

60 / 60

If all the dimensions of a prismatic bar are doubled, then the maximum stress produced in it under its own weight will

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