Metal Forming &
Machining
MF C314
Theory of Slip Lines, Upper and
Lower Bound Theorem
Derivation of basic equations for solution of elastic-plastic
deformation.
These are mentioned below along with boundary
conditions.
I.
II.
III.
IV.
V.
VI.
VII.
Equation

Problemz 10 y y
Problem Set
Maximize = y1 2 n
10.3A Page 414
subject to y1+y2+yn = c,
yi 0
Thus there are n stages to this problem. At
stage i, we have to choose the variable yi.
The state of the problem at stage i is defined
by the variable xi, which rep

MF C314
Bending
Bend Allowance
The length of the neutral axis in the bend area
Bend Allowance.
It is used to determine the blank length for a bent
part.
Minimum Bend Radius
The radius, at which a crack appears on the outer radius
of the bend is called min

Deterministic Dynamic Programming
Dynamic Programming (DP) determines the
optimum solution to an n-variable problem by
decomposing it into n stages with each stage
constituting a single-variable sub problem.
Recursive Nature of Computations in DP
Computat

Hillier and Lieberman Problem
14.4-2 Page 746
Consider the game having the following
pay-off (to A) table:
Player B
Strategy
Player A
1
2
3
-2
2 -1
2
1
Use the graphical procedure to determine
the value of the game and the optimal
strategy for each player

PERT Networks
In PERT the duration of any activity is
indeterministic. It bases the duration of an
activity on three estimates:
Optimistic Time, a
Most Likely Time, m
Pessimistic Time, b
The range [a, b] is assumed to enclose all
possible estimates of

CPM and
PERT
CPM and PERT
CPM (Critical Path Method) and PERT
(Program Evaluation and Review Technique)
are network based methods designed to assist
in the planning, scheduling, and control of
projects. A project is a collection of
interrelated activities

Reliability
Reliability
Generally, Reliability is defined as the
probability that a system will perform
properly for a specific period of time under
a given set of operating conditions.
In other words, reliability of a device at
time t is probability th

Simulation
Simulation
It is most important technique used in analyzing
complex
systems
in
estimating
their
characteristics.
Whenever mathematical methods for getting the
characteristics of a complex system do not exist,
simulation enables one to obtain

Ex: Shortest Route Problem:
A salesman located in a city A decided to travel city A to
city B. He knew the distances of alternative routes from
city A to city B. He then drew a highway network map
as shown. The city of origin ,A, is city 1. The destinatio

GAME THEORY
Life is full of conflict and competition.
Numerical examples involving adversaries in
conflict include parlor games, military battles,
political campaigns, advertising and
marketing campaigns by competing business
firms and so forth. A basic f

BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, Pilani
Pilani Campus
INSTRUCTION DIVISION
FIRST SEMESTER 2012-2013
Course Handout (Part II)
Date: 03/08/2012
In addition to the Part - I (General Handout for all courses appended to the Time Table) this portion
g

KINEMATICS AND DYNAMICS OF MACHINES
MF C313
Assignment 1
Amol Marathe
16 Aug 2012
Instruction: Submit the assignment in printed form by the due date and time (given below)
at 2228.
Due date: 21st August, 2012.
Due time: 5 p.m.
1. Write a MAPLE sheet for p

BITS Pilani
Pilani Campus
VINAYAK KALLURI
BITS Pilani
Pilani Campus
Introduction
The static load is a stationary force or couple applied to a
member.
Stationary means, the load should be unchanging in
magnitude
point or points of application
direction
or

BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, Pilani
Pilani Campus
INSTRUCTION DIVISION
FIRST SEMESTER 2012-2013
Course Handout (Part II)
Date: 03/08/2012
In addition to part-I (General Handout for all courses appended to the time table) this portion
gives f

BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, Pilani
Pilani Campus
First Semester 2012-2013
Course Handout (Part II)
03.08.2012
In addition to Part I (General Handout for all courses appended to the time table) this
portion further gives specific details reg

PROBABILITY REVIEW
Course : AAOC C312
REVIEW OF BASIC PROBABILITY
(CH 12)
Laws of probability
Addition
Law
Conditional Probability
Random Variables
Probability Distribution
Joint random variable
Some Common Probability Distributions
Binomial,
Poisso

MF C314
Press Working
Punching & Blanking (Shearing)
Deep Drawing
Bending
3
Punching and Blanking
4
Punching
5
Punching
6
Mode of Metal Deformation & Failure
7
Effects of Punch/Die Clearance
8
Clearance (c)
c = 0.0032 t (mm)
t = Sheet Thickness (mm)
= Ma

Inventory systems
Inflow : procurement
outflow: sales or filling customers demand
Inventory: storage or the difference between
rate of inflow and the rate of outflow
Inventory system: to study the inter
relationship between inflow, storage, and
outflo

Metal Forming &
Machining
MF C314
Theory of Slip Lines, Upper and
Lower Bound Theorem
Derivation of basic equations for solution of elastic-plastic
deformation.
These are mentioned below along with boundary
conditions.
I.
II.
III.
IV.
V.
VI.
VII.
Equation

Metal Forming &
Machining
MF C314
Classification of forming processes
According to similarities in equipment, tooling,
method of working, type of energy sources:
1. Rolling processes
2. Forging processes
3. Drawing processes
4. Extrusion processes
5. Shee

Metal Forming &
Machining
MF C314
Effect of Hydrostatic Pressure
Hydrostatic pressure affects the following properties of
metals:
Ductility
Yield strength or flow stress
Strain hardening index
Strain rate index
Hydrostatic pressure does not lead to plasti

Metal Forming &
Machining
MF C314
Yield Conditions and Stress Strain
Relations
For analysis of metal forming problem, it is
necessary to know the conditions of yielding,
work hardening and stress-strain relations of
metal under the action of multi-axial s

Metal Forming &
Machining
MF C314
Rolling
Objectives
Determine the roll separating force
Determine the torque and power required to derive the
rolls
Determine the power loss in bearing
To analyze the pressure distribution along the striproll interaction s

Metal Forming &
Machining
MF C314
Instructor-in-charge:
Dr. T. C. Bera
Room No: 2226
Practical Instructor:
Mr. Navneet Khanna
Brief about Course Contents
Introduction to Metal Forming
Material behavior in Metal Forming
Various metal forming processes
Anal

Metal Forming &
Machining
MF C314
Plastic deformation of metals and
related properties
Grain Structure:
The microstructure of solid metallic bodies consists of
grains.
Grains consists of unit cells
Atoms are arranged in a particular order within unit
cell

Metal Forming &
Machining
MF C314
Roll Pressure Distribution
Neutral Point:
At a particular point of working zone, the velocity of the
strip will be equal to the velocity of roller. This point is
referred as neutral point or no-slip point.
To the left of

Metal Forming &
Machining
MF C314
FORGING
Forging
Strip Forging
Assumption
Forging force F attains its maximum value at the end
of the operation.
is constant
Variation of stress field along Y axis is negligible.
Plane strain case
Entire workpiece is plas

Metal Forming &
Machining
MF C314
DRAWING
Drawing is an operation in which the cross-section
of solid rod, wire or tube is reduced or changed in
shape by pulling it through a die.
In this operation, thickness of a pointed, tapered
wire is drawn through a