Structural Analysis (Code: 101408) - B.Tech. Examination 2025

2025Semester 2Civil-CAEnd Semester
Bihar Engineering University, Patna
B.Tech. Examination 2025

Structural Analysis (Code: 101408)

Time: 03 HoursCode: 101408Full Marks: 70

Instructions:

  1. The marks are indicated in the right‑hand margin.
  2. There are VIVE questions in this paper.
  3. It may FIVE questions in all.
  4. Question No. 1 is compulsory.
Q.1 Choose the correct option / write the answer of the following (Any seven):[2x7=14]
  1. Which of the following is carried by truss members?

    1. flexural load
    2. axial load
    3. bending load
    4. shear load
  2. When a structural member of the uniform section is subjected to a moment at one end only, then the moment required so as to rotate that end to produce a unit slope, is called

    1. Stiffness of member
    2. Capacity of member
    3. Potential of member
    4. Resistance of member
  3. Carry over Moment at end B due to moment M applied at end A for the given beam is

    Question Diagram
    1. -M
    2. -M2
    3. +M
    4. 0
  4. Which of the following methods of structural analysis is a force method?

    1. three moment equation
    2. slope deflection method
    3. column analogy method
    4. moment distribution method
  5. Force-displacement requirement of statically indeterminate structures depend upon which factor?

    1. supports
    2. material's response
  6. In influence line diagrams (ILD)

    1. Points remain fixed, position of load changes
    2. Points change, position of loads remain fixed
    3. Both of them changes
    4. Neither of them changes
  7. Maxwell's reciprocal theorem is applicable for only prismatic members.

    1. Prismatic
    2. Non prismatic
  8. If a structure has total 10 joints, then what should be the minimum no. of joints in which equilibrium equations should be concurrently satisfied for stability?

    1. 9
    2. 10
  9. Betti's Theorem is based on

    1. Balancing of external and internal forces
    2. Balancing of work done produced by external and internal loadings
    3. Balancing of external and internal moments
    4. Balancing of strain energy produced by external and internal loadings
  10. Flexibility matrix is always:

    1. symmetric
    2. non‑symmetric
    3. anti‑symmetric
    4. depends upon loads applied
Q.2 Solve both questions :[14]
  1. Write the Comparison between Force Method and Displacement method. [7]

  2. A two‑hinged parabolic arch hinged at the springs at the same level has a horizontal span of \(20 \mathrm{m}\) and a central rise of \(2 \mathrm{m}\). Draw influence line diagrams for (i) Horizontal thrust at support (ii) B.M. at a section \(5 \mathrm{m}\) from the left support. Hence or otherwise find the maximum positive and negative bending moments at the above section due to the passage of a point load of \(100 \mathrm{kN}\) over the span. Assume that the moment of inertia of the arch section varies as the secant of the slope. [7]

Q.3 Solve both questions :[14]
  1. A continuous beam ABC is hinged at A and C and simply supported at B. It consists of two spans AB = 8 metres and BC = 4 metres. Draw influence lines for the reactants at the supports.

    Question Diagram
  2. Develop the flexibility matrix for the simply supported beam AB with reference to the coordinates shown in fig.

    Question Diagram
Q.4 Solve both questions :[14]
  1. State Muller Breslau's principle. [7]

  2. What is meant by shape factor and also mention the shape factor for (i) circular and (ii) triangular sections. [7]

Q.5 Solve both questions :[14]
  1. Find out the collapse load for the continuous beam of uniform section and loaded as given below figure in terms of its plastic moment \(M_P\).

    Question Diagram
  2. Discuss the detailed design steps for the design of column with axial load and bi axial bending. [7]

Q.6 Solve both questions :[14]
  1. A continuous beam ABC consists of spans AB and BC of \(5 \mathrm{m}\) length in each. Both the ends of the beam are fixed. The span AB carries a point load of \(15 \mathrm{kN}\) at its middle point. The span BC carries a point load of \(25 \mathrm{kN}\) at its middle point. Find the moments and reactions at the supports. Assume the beam is of uniform section. Use Slope deflection method. [7]

  2. State the difference between strain energy method and unit load method in the determination of deflection of structures. [7]

Q.7 Solve both questions :[14]
  1. Draw the bending moment diagram and shear force diagram for the continuous beam shown in figure below using moment distribution method.

    Question Diagram
  2. Explain the steps involved in the analysis of the frame by cantilever method [7]

Q.8 Solve both questions :[14]
  1. Explain the principle of virtual work and its significance in structural analysis. [7]

  2. Compare the behaviour of a three hinged arch and a fixed arch under loading conditions. [7]

Q.9 Answer any two of the following:[14]
  1. Explain the steps involved in the determination of deflection of pin jointed plane frames and rigid plane frames.

  2. Analyse the truss shown in figure by stiffness method.

    Question Diagram
  3. Explain the castigliano's second theorem and apply it to simply supported beam under a concentrated load.