Content

1. Introduction

Historical Development. Body Classification. External and Internal Forces. Simple & Compose Stresses. Basic Hypothesis of Strength of Materials. Normal Stress and Strain. Stress-Strain Diagrams. Hooke’s Law. Poisson’s Ratio. Volume Change. Allowable Stresses and Allowable Loads.

2. Axially Loaded Members.

Stresses & Displacements in Axially Loaded Members. Axially Loaded Members Subjected to Own Weight. Fully Stressed Bar. Strain Energy. Statically Indeterminate Structures.

3. Shear Stress And Strain.

Applications Of Shearing. Joint’s Calculus. Screw Joint. Key Joints. Riveted Joints. Welded Joints.

4. Plane Stress.

Principal Stresses and Maximum Shear Stresses. Mohr’s Circle for Plane Stress. Hooke’s Law For Plane Stress. Spherical and Cylindrical Pressure Vessels (Biaxial Stress).

5. Centroids and Moments of Inertia of Plane Areas.

Centroids of Areas. Centroids of Composite Areas. Moments of Inertia of Areas. Parallel-Axis Theorem for Moments of Inertia. Rotation of Axes. Principal Axes.

6. Shear Force and Bending Moment

Types of Beams. Shear Force and Bending Moment. Relationships between Load, Shear Force and Bending Moment. Shear Force and Bending Moment Diagrams.

7. Stresses in Beams.

Normal Strains and Stress in Beams. Design of Beams. Shear stresses in Beams. Built-in Beams. Fully stressed beams. Shear center. Shear centers of thin walled open sections.

8. Deflections of Beams

Differential Equations of the Deflection Curve. Deflections by Integration of the Bending Moment Equation. Clebsch’s Method. Moment-Area Method.

9. Statically Indeterminate Beams.

Moment-Area Method. Force Method (method of Superposition). Continuous Beams. Three Moment Equation.

10. Torsion

Torsion of Circular bars. Hollow Circular Bars. Transmission of Power by Circular Shafts. Statically Indeterminate Torsional Members. Thin-Walled Tubes. Bredt’s Formulas.

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