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ENCE 252Bachelor in Civil Engineering · Semester 41 Paper Available

Theory of Structures II

Past examination question papers and complete curriculum syllabus for Theory of Structures II (ENCE 252), Bachelor in Civil Engineering Semester 4 under Institute of Engineering (IOE), Tribhuvan University.

Sem 4 Subjects (8)View Full Semester Overview →
ENSH 251Communication EnglishENSH 253Probability and StatisticsENCE 251HydraulicsENCE 252Theory of Structures IIENCE 253Soil MechanicsENCE 254Water Supply EngineeringENCE 255Building TechnologyENCE 256Survey Camp
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4th-sem_Theory of Structures II.pdf

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Year-wise & Session-wise Exam Papers

Complete questions from each exam session (Regular & Back exams from 2082 to 2069) for Theory of Structures II. Click any session paper to expand.

Showing 7 questions across 2 exam session papers
Institute of Engineering • 2074 Ashwin Board Examination
Q1[5 Marks]Introduction
a) Describe the degree of static indeterminacy and the degree of kinematic indeterminacy of a structural system with suitable expressions and examples. [5] b) Determine the moment at the fixed support of the following loaded beam using Castigliano's theorem. Take EI constant. [6] c) Enuciate Mueller-Breslau principle of influence line and prove it with an example of a continuous beam.
Q2[4 Marks]Slope Deflection Method📐 Diagram in Paper
a) Analyse the continuous beam loaded as shown in figure below and draw the bending moment diagrams using slope-deflection method. Support B sinks by 19 mm. [12] Take b) Define plastic hinge. Also compare plastic and elastic hinges of a structural system.
Q3[10 Marks]Moment Distribution Method
a) Explain the principle of moment distribution method with a simple example. [6] b) A portal frame of span 4 m and height 4 m is fixed at both supports. The beam of the frame carries a uniform distributed gravity load of intensity 30 KN/m. Use Force method to solve the frame considering the cross-sectional stiffness (EI) to be constant. Draw bending moment, shear force and normal thrust diagrams for the frame.

Curriculum Syllabus & Course Topics

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Full Syllabus (PDF)
Chapter-wise Units & Micro-Syllabus Topics (9 Units)

  1. 1. Introduction

    • 1.1Types of indeterminate structures
    • 1.2Boundary conditions and degree of freedoms
    • 1.3Static and kinematic indeterminacy
    • 1.4Structure idealization, local and global coordinate systems, deformations and their sign conventions
    • 1.5Determination of degree of static indeterminacy of a system: Use of formula, necessity of visual checking for plane systems in the form of beam, frame, truss and arch
    • 1.6Degree of kinematic indeterminacy of a system and its determination: Use of formula, necessity of visual checking for plane systems in the form of beam, frame, truss and arch
    • 1.7Definitions and explanations of force and displacement, flexibility and stiffness and their relationship

  2. 2. Theorem of Displacements

    • 2.1Force and displacements as cause and effects
    • 2.2Castigliano’s theorems and their applications
    • 2.3Analyses of simple systems like beam, frame and truss
    • 2.4Bending moment, shear force and normal thrust diagrams for beam, truss and frames

  3. 3. Force Method

    • 3.1Definitions and explanations; Specialties of force method and its limitations
    • 3.2Consistent deformation systems; Compatibility equations, primary structures, choice of redundant
    • 3.3Flexibility method: Use in beam, frame and trusses; Yielding of supports in beam, truss and frames; Temperature effects and misfits in truss
    • 3.4Flexibility matrix method
    • 3.5Graph multiplication approach for simple cases
    • 3.6Three moment theorem and its application
    • 3.7Introduction to focal point method

  4. 4. Analysis of Indeterminate Arches

    • 4.1Use of arches in modern constructions
    • 4.2Horizontal reaction for parabolic and circular two-hinged and fixed arches
    • 4.3Bending moment, shear force and normal thrust diagrams
    • 4.4Yielding of supports, temperature effect and rib shortening
    • 4.5Influence line diagrams for horizontal thrust, bending moment at span, normal thrust and radial shear for two hinged arches

  5. 5. Slope Deflection Method

    • 5.1Introduction and sign conventions
    • 5.2Formulation of slope deflection equation
    • 5.3Fixed end moments
    • 5.4Application in beam and frames with support settlements and rotations
    • 5.5Bending moment, shear force and normal thrust diagrams for beam and frames

  6. 6. Moment Distribution Method

    • 6.1Introduction, terminology and development of method
    • 6.2Distribution factors
    • 6.3Carry over moments
    • 6.4Application in beam and frames: Symmetry and anti-symmetry, sway conditions and support yielding
    • 6.5Bending moment, shear force and normal thrust diagrams for beam and frames

  7. 7. Stiffness Matrix Method

    • 7.1Definition of stiffness, choice of redundant and degree of freedoms
    • 7.2Member stiffness matrix for spring, bar, truss and beam elements
    • 7.3Rotation matrices
    • 7.4Analysis of multiple spring connected systems, bar and string combinations, simple two-dimensional trusses
    • 7.5Applications to beams and two-dimensional frames, effects of settlement of support and temperature
    • 7.6Application in space/three-dimensional truss
    • 7.7Bending moment, shear force and normal thrust diagrams for beam and frames
    • 7.8Introduction to structural engineering related software

  8. 8. Influence Line for Indeterminate Beams

    • 8.1Necessity of influence line diagrams
    • 8.2Muller Breslau principle, its physical meaning and use
    • 8.3Influence line diagrams for reactions, bending moment and shear force in various sections of continuous beams (Two to three spans only)
    • 8.4Use of influence line diagrams to calculate reactions, shear forces and bending moments for concentrated force, couple and distributed load

  9. 9. Introduction to Plastic Analysis

    • 9.1Definitions and explanations
    • 9.2Plastic analysis of bending members
    • 9.3Plastic hinge and its length
    • 9.4Load factor, shape factor and plastic modulus
    • 9.5Basic theorems on methods of limit analysis
    • 9.6Collapse loads: partial collapse, complete collapse
    • 9.7Collapse with tied loads for simple cases of statically indeterminate beams (Not more than three spans) and frames (Only portal frames)

Examination Scheme & Marks Distribution

Evaluation Structure

  • Final Board Theory Exam: 60 Marks (Pass mark: 24)
  • Internal Assessment: 40 Marks (Pass mark: 16)
  • Practical / Lab Exam: 25 or 50 Marks (Continuous lab evaluation + viva, where applicable)

* This is the general current IOE 60/40 scheme; verify course-specific details in the syllabus above.

Exam Preparation Guidelines

  • Review the available past examination paper to understand question styling, typical derivation topics, and marks allocation.
  • Cross-reference key answers with official syllabus units, standard textbooks, and lecture notes.
  • Structure answers with labeled diagrams, concise bullet points, and highlight final answers in numerical solutions.
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