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DI05006081 · Semester 5 · 5G scheme

Mechanics of Structures -II

Notes and solutions following the Gujarat Technological University (GTU) syllabus for DI05006081. Independent material — not issued by the university.

Civil Engineering

Materials

Syllabus

The official syllabus this material follows.

  • Syllabus

    6 pages

    FreeRead

Complete Book

The whole syllabus, unit by unit, written for the exam.

Syllabus units

Unit 1: Fundamentals
  • 1.1 Definition of skeletal structures, types of skeletal structures- Beam, Plane Truss, Plane frame, Grid, Space Truss, Space Frame.
  • 1.2 Definition of continuum structures, types of continuum structures- Plate, Shell, Dams, Retaining Wall, Machine Parts etc.
  • 1.3 Determinate and indeterminate structures.
  • 1.4 Advantages and disadvantages of indeterminate structures.
Unit 2: Fixed Beams
  • 2.1 Define a Fixed beam, Advantages of fixed beam over simply supported beam.
  • 2.2 Concept of analysis by Moment area method
  • 2.3 µ and µ' diagram for possible symmetric loading on a fixed beam of span L
  • 2.4 Numericals on calculating SF & BM and drawing SF & BM diagrams for fixed beam with symmetric loading (UDL & Point load only)
  • 2.5 Locate Point of contra flexure.
Unit 3: Continuous Beams
  • 3.1 Explain theorem of three moment (Clapeyron's theorem)
  • 3.2 Use theorem of three moment for a continuous beam up to three spans and two equations only
  • 3.3 Numericals on calculating SF & BM and drawing SF & BM diagrams for fixed beam with symmetric loading (UDL & Point load only)
Unit 4: Moment Distribution Method
  • 4.1 Define the terms: Stiffness, flexibility, carry over factor, distribution factor, procedure of moment distribution method
  • 4.2 Numerical to analyse two or three span continuous beams having end supports as overhang , fixed and /or hinge and subjected to symmetrical loading (UDL & Point load only) and draw S.F & B.M Diagram
Unit 5: Direct and Bending Stresses
  • 5.1 Introduction to axial and eccentric loads on column section. Formulae for combined stresses on sections subjected to eccentric loads considering uniaxial and biaxial eccentricity and stress distribution diagrams.
  • 5.2 Condition for no tension or zero stress at extreme fiber, limit of eccentricity, core of section for rectangular and circular (solid and hollow) cross sections.
  • 5.3 Application of concept of combined stresses to find pressure at base and stability check of rectangular and trapezoidal retaining wall and dam with conditions of stability.
  • 5.4 Numericals based on above topics to find combined stresses.
Unit 6: Principal planes and Principal stresses
  • 6.1 Normal, Tangential & Resultant stresses due to direct orthogonal and shear stresses on a given inclined plane (Only formulae no derivation). Numericals based on this.
  • 6.2 Definition of principal plane and stress.
  • 6.3 Location of principal planes and calculation of principal stresses (Only formulae, no derivation) Maximum tangential stress. Numericals based on this.
  • 6.4 Mohr's circle and its application for determination of Normal, Tangential & Resultant stresses due to direct orthogonal and shear stresses on inclined plane.
  • 6.5 Mohr's circle and its application for location of principal planes and determination of principal stresses.
  • 6.6 Mohr's circle and its application for determination of maximum tangential stress.

About this course

After learning the analysis of determinate structures in Semester III, this elective subject is introduced in the 5th semester for students who wish to specialize in the field of structural engineering. The subject introduces the concept of indeterminate structures and covers the analysis of indeterminate structural members such as fixed beams and continuous beams, it also includes the analysis of column sections, dams, and retaining walls subjected to eccentric loading, along with checking the important condition of no tension. The study of structural members under the effect of principal stresses and strains is also included to provide students with an understanding of compound stresses. After completing this subject, diploma students will develop an in-depth understanding of structural engineering concepts and will be able to apply their analytical knowledge and skills effectively in the construction industry.