### Essay preview

GOVERNMENT ENGINEERING COLLEGE, DAHOD

CIVIL ENGINEERING DEPARTMENT

MECHANICS OF SOLID

PRESENTED BY :

PATEL ASHWIN D.

130180106076

PATEL MAYUR A.

130180106090

PATEL PRIYANK N.

130180106103

TAILOR SHIVOM R. 130180106117

TANDEL RAJAT B.

130180106118

PAWAR SAURABH M. 130180106099

GUIDED BY:PROF. M . A SHAIKH

PROF . R. A. JHUMARWALA

RIGID BODIES: EQUIVALENT

SYSTEMS OF FORCES

GOVERNMENT ENGINEERING COLLEGE, DAHOD.

Introduction

• Treatment of a body as a single particle is not always possible. In general, the size of the body and the specific points of application of the forces must be considered.

• Most bodies in elementary mechanics are assumed to be rigid, i.e., the actual deformations are small and do not affect the conditions of equilibrium or motion of the body.

• Current chapter describes the effect of forces exerted on a rigid body and how to replace a given system of forces with a simpler equivalent system. • moment of a force about a point

• moment of a force about an axis

• moment due to a couple

• Any system of forces acting on a rigid body can be replaced by an equivalent system consisting of one force acting at a given point and one couple.

3-3

External and Internal Forces

• Forces acting on rigid bodies are

divided into two groups:

- External forces

- Internal forces

• External forces are shown in a

free-body diagram.

• If unopposed, each external

force can impart a motion of

translation or rotation, or both.

3-4

Principle of Transmissibility:

Equivalent Forces

• Principle of Transmissibility Conditions of equilibrium or motion are not affected by transmitting a force

along its line of action.

NOTE: F and F’ are equivalent forces.

• Moving the point of application of

the force F to the rear bumper

does not affect the motion or the

other forces acting on the truck.

• Principle of transmissibility may

not al...

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