**About Structural Mechanics : ***Structural mechanics*, or *solid mechanics*, is a field of applied mechanics in which you compute deformations, stresses, and strains in solid materials. Often, the purpose is to determine the strength of a structure, such as a bridge, in order to prevent damage or accidents. Other common goals of structural mechanics analyses include determining the flexibility of a structure and computing dynamic properties, such as natural frequencies and responses to time-dependent loads.

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### More About Structural Mechanics :

**Structural mechanics** or **Mechanics of structures** is the computation ofdeformations, deflections, and internal forces or stresses (*stress equivalents*) within structures, either for design or for performance evaluation of existing structures. It is one subset of structural analysis. Structural mechanics analysis needs input data such as structural loads, the structure’s geometric representation and support conditions, and the materials’ properties. Output quantities may include support reactions, stresses and displacements. Advanced structural mechanics may include the effects of stability and non-linear behaviors.

The study of solid mechanics closely relates to material sciences, since one of the fundamentals is to have appropriate models for the mechanical behavior of the material being used. Different types of solid materials require vastly different mathematical descriptions. Some examples are metals, rubbers, soils, concrete, and biological tissues.

Mechanics of structures is a field of study within applied mechanics that investigates the behavior of structures under mechanical loads, such as bending of a beam, buckling of a column, torsion of a shaft, deflection of a thin shell, and vibration of a bridge.

Bamu syllabus contains for this

**SECTION- A**

Unit I: Theory of elasticity, strain displacement relation, strain compatibility equations, stress

equilibrium equations under static and dynamic conditions. Hooke’s law, plane strain and

plane stress conditions and their stress compatibility equations. Principal planes and principal

stress in 3-D elasticity. (9)

Unit II: Laterally loaded plates with small deflection theory, governing differential Equation

according to Kirchhoff’s thin plate theory, cylindrical bending of thin rectangular plates.

Navier’s solution of rectangular plate subjected to single sinusoidal load and UDL. (6)

Unit III: Bending analysis of circular plates: Governing differential equation and general

solution. Circular plate subjected to point load and UDL. Plate with a circular hole at the center.

(6)

SECTION- B

Unit IV: Membrane theory of thin cylindrical shells, Spherical and conical domes/shells. (6)

Unit V: Introduction to Flexibility matrix method, Finite Element Method: Stepwise Procedure,

Different Approaches used in FEM, Shape functions for 1-D and 2-D Elements. (7)

Unit VI: Stiffness Matrix method: stiffness coefficient, application to continuous beam and

single bay single storey portal frames. (6)

Recommended Books

1. Theory of Elasticity: Timoshenko and J N Goodier

2. Theory of Elasticity: Dr. Sadhu Singh

3. Theory of Plates and Shells: Timoshenko S P and Krieger S W

4. Design and Construction of Concrete Shell Roofs: G S Ramaswamy

5. Analysis of Framed Structures: J M Gere and W. Weaver Jr.

6. Structural Analysis: G S pandit and S P Gupta

30

7. Advanced Theory of Structures: N C Sinha and P K Gayen

8. Theory of Structures-II: H M Somayya

9. Structural Dynamics: Mario Paz

10. Dynamics of Structures: A K Chopra

11. Fimite Element Method: Desai, Edho and Shah

Pattern of Question Paper:

The units in the syllabus shall be divided in two equal sections. Question paper shall be set

having two sections A and B. Section A questions shall be set on first three units (1,2,3) and

Section B questions on remaining three units (4,5,6) . Question paper should cover the

entire syllabus.

For 80 marks Paper:

1. Minimum ten questions

2. Five questions in each section

3. Three questions from each section are asked to solve.

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