Analytical Statics written by Binoy Bhattacharyya and published by New Central Book Agency (NCBA).

Name: Analytical Statics written by Binoy Bhattacharyya and published by New Central Book Agency (NCBA). - Booksbp.com
SKU: 9789352551538
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SKU: 9789352551538

1. Forces Acting at a Point

Vector Representation: Mathematical tracking of force vectors in 2D and 3D spaces.
Resultants: Parallelogram, triangle, and polygon laws of forces to resolve multiple forces into a single resultant vector.
Lami’s Theorem: Analyzing the equilibrium of three concurrent, coplanar forces.

2. Coplanar Forces and Parallel Forces

Varignon’s Theorem: Principles of moments and their algebraic sum acting on a body.
Couples: Vector properties of two equal, opposite, and parallel forces acting along distinct lines.
Reduction: Reducing a system of coplanar forces to a single resultant force and a single couple.

3. Center of Gravity (CG)

Centroids: Mathematical methods for finding the center of mass/gravity of simple geometric shapes (lines, arcs, areas).
Integration Methods: Utilizing calculus to solve for the center of gravity of composite bodies and curved lamina.

4. Friction

Laws of Friction: Static, limiting, and kinetic friction coefficients.
Applications: Equilibrium analysis of rigid bodies resting on rough inclined planes, ladder friction problems, and wedge mechanics.

5. Virtual Work

Principle of Virtual Work: Using displacement variations (δ w = 0) to solve equilibrium problems without calculating internal constraint forces.
Application: Determining structural configurations for multi-link frameworks and expanding systems.

6. Equilibrium and Stability

Conditions of Equilibrium: Ensuring the total summation of forces and moments equates to zero (Σ F = 0, Σ M = 0).
Stability Testing: Utilizing potential energy methods (V) to classify equilibrium configurations into stable, unstable, or neutral states.