ESO202A: Mechanics
of Solids
Stresses due to bending
Slender members
1.
2.
3.
Slender members are components that
are long and thin. They generally have a
more or less uniform cross section. e.g
beams
To study the general nature of internal
forces in slen

Stresses in symmetrical beams transmitting
bending moment and shear force
Stresses in symmetrical beams transmitting
bending moment and shear force
The equilibrium equations for the segment is shown above.
Substituting stress- moment relation in the above

Name M Roll No.*_ Section
E80 209: Dynamics
QM
Max. marks: 15 Max time: 15 min
Problem
The transporter B on which General Zia ul Haq of Pakistan is traveling to India happens to be also
carrying a case of exploding mangoes. To prevent the impending disa

Solution 3
The gyro rotor is spinning at constant rate p = 100 rev/min relative to E1 E2 E3 axes which
1 by = 4 rad/sec and the unit is forced to
is attached to gimble ring that is rotating about E
precess about the vertical at the constant rate N = 20 re

ESO 209: Assignment 11
Problem 1:
A constant force F is applied in the vertical direction to the symmetrical linkage starting from the
rest position at = 90 . Determine the angular velocity which the links acquire as they reach the
position (a) = 45 and (

Name
Roll No.
Section
ESO 209: Dynamics
Quiz 1
Problem 1: Tensor representation
A is a 2-D rectangular coordinate system dened by unit vectors ei , i = 1, 2. Find [T ]A for the
following denition of T :
T e1 = e1
T e2 = 0
Also describe what T does geometr

ESO 209: Assignment 10
PROBLEM 1 :
The slender rod of mass m and length l is released from the rest in the vertical position with
the small roller at end A resting on the incline. Determine the initial acceleration of A.
PROBLEM 2 :
The yo-yo has a mass m

ESO 209: Assignment 7
PROBLEM 1 :
Find the velocity at which the rod AB slides through the collar C. AO has constant angular
velocity .
PROBLEM 2 :
Given and , nd the acceleration of points A and C. Disk rolls without slipping.
PROBLEM 3 :
Find the angula

ESO 209: Assignment 9
PROBLEM 1 :
Find kinetic energy T for all the problems discussed in Assignment 8.
PROBLEM 2 :
The slender shaft carries two oset particles, each of mass m, and rotates about the E3 axis with the
constant angular rate as indicated. De

ESO 209: Assignment 8
PROBLEM 1 :
The slender shaft carries two oset particles each of mass m and rotates about
an angular velocity as indicated in gure. Write an expression for the angular
the system about the origin O of the E1 E2 E3 axes for the positi

10/20/2014
Torsion of Circular shafts
In this chapter, we shall consider
the problem of twisting or torsion.
A slender element subjected
primarily to twist is called a shaft.
An example is that of a lathe wherein
the torque generated by a motor is
transmi

ESO 209: Assignment 6
PROBLEM 1 : Its complicated
For the position show where = 30 , the collar A has the constant velocity v with corresponding lengthening of the hydraulic cylinder AC. Determine the angular acceleration of DE and the
rate at which AC ex

E80 209: Assignment 5
PROBLEM 1 : Conquest
In the distant future, when Indians have conquered much of Africa and all of EurOpe (if only by
population), a “Uniﬁcation Express” is planned to integrate our vast empire; see Fig.(a). The train
travels with con

ESO 210
Introduction to Electrical Engineering
Lecture-17
2
Transformer
3
4
5
6
7
A transformer is said to be under no load condition when no load is connected
across the secondary as shown below:
The switch S in figure above is kept opened and no current

ESO 210
Introduction to Electrical Engineering
Lecture-15
2
3
4
5
Transformers are an integral
part in any modern power
system
6
7
8
Transformers:
The most important components of any power system.
Basically change the level of voltages from one value to

ESO 210
Introduction to Electrical Engineering
Lectures-13 and 14
2
Announcements:
Tutorial Quiz-2 for 10 mins: Wednesday Feb 2
Syllabus: Based
Tutorial-2
on
problems
discussed
in
Main Quiz-1 for 20 mins: Tuesday Feb 1
Syllabus: Based on Topics covere