LECTURE NOTES ON
STRENGTH OF MATERIALS II
Department of CIVIL Engineering
INSTITUTE OF AERONAUTICAL ENGINEERING
Dundigal 500 043, Hyderabad
CONTENTS
Chapter 1:
Torsion of Circular Shafts
1. Theory of pure torsion
2.
Derivation of Torsion equations : T/J
Chapter 2
Kinematics
2.1 Basic Concepts
Kinematics describes the motion of mechanical systems, without considering the
forces that produce that motion. Kinematics deals with velocities and accelerations,
which are defined for points of interest on the mec
Lecture 11
FEM in 1D and 2D: Quadratic Shape Functions
(Lecture notes taken by Paul Thompson and Jason Andrus)
Steady state problem in 1D.
0 ,
.
Find the weak equation by multiplying the differential equation by with (0) = (L) = 0 and
integrating by parts
Created by T. Madas
VARIABLE
MASS
PROBLEMS
Created by T. Madas
Created by T. Madas
Question 1 (*)
A rocket is moving vertically upwards relative to the surface of the earth. The motion
takes place close to the surface of the earth and it is assumed that g
Math 1302, Week 7: Variable mass systems
Example: Coupling of two moving carriages
Consider two train carriages of mass m1 , m2 moving on the same track with speeds U1 and U2 ,
where U1 > U2 (see figure 1). When they catch each other up they couple togeth
Course information: Advanced Dynamics & Simulation - ME331B
Instructors
E-mail
Cell phone
Oce location
Instructors
E-mail
Cell phone
Class location/time
Web site
Holidays
Course material
Distributed in class
Paul Mitiguy
Phone preferred
650-346-9595
Peter
Lecture Notes for PHY 405
Classical Mechanics
From Thorton & Marions Classical Mechanics
Prepared by
Dr. Joseph M. Hahn
Saint Marys University
Department of Astronomy & Physics
November 1, 2003
revised November 6, 2003
Chapter 9: Dynamics of systems of pa
Forces on the Rocket
Rocket Dynamics
Forces on the Rockets - Drag
Rocket Stability
Rocket Equation
Specific Impulse
Rocket Motors
Equation of Motion:
F = Ma
Need to minimize total mass M to
maximize acceleration of the rocket
FThrust
Center of Mass
F
SPH3U1 - Dynamics Problems Set 2
Problems
1. A model rocket of mass 4.80 x 102 g accelerates vertically upward at 34.0 m/s2 during launch,
overcoming both gravity and air resistance.
a) Draw a free-body diagram of the rocket during launch.
b) Calculate th
N
O
T
E
Newtons Second Law for Systems with Variable
Mass
David Chandler, Porterville College, 100 E. College Ave., Porterville, CA 93257; [email protected]
T
he usual model used to illustrate variable-mass problems is
a rocket. A rocket is a familiar