PBC Lecture Notes in Physics – Vector Algebra & Vector Analysis/ A. Kar Gupta 1 Vector Algebra & Vector Analysis (Combined Lectures, 1 st Ed.) Lecture Notes prepared…

Chapter 3 • Integral Relations for a Control Volume 3.1 Discuss Newton’s second law (the linear momentum relation) in these three forms: å F = ma åF = d (mV ) dt åF…

5. Torsion CHAPTER OBJECTIVES • Discuss effects of applying torsional loading to a long straight member • Determine stress distribution within the member under torsional…

Chapter1 Problem1.1 Use Gauss’ theorem [and (1.21) if necessary] to prove the following: (a)Any excess charge placed on a conductor must lie entirely on its surface. (A…

1.   2. Load/Force Two kind of external load/forces which may act on a body i.eSurface force : Force distributed over the surface of the body e.g hydrostatic pressure. Body…

Slide 1Derivative of any function f(x,y,z): Differential Calculus (revisited): Gradient of function f Slide 2 Gradient of a function Change in a scalar function f corresponding…

Slide 1Copyright © 2003 Pearson Education, Inc. Slide 5-1 Slide 2 Copyright © 2003 Pearson Education, Inc. Slide 5-2 Created by, Stephanie Ludi, Rochester institute of…

1. 2.CONCEPT OF STRESSWhile the results (force,moment) obtained from statics represent a first and necessary step in the analysis of the given structure, they do not tell…

Dr/Ahmed Fathi Mohamed Salih University Of Bahri Civil Engineering Department Mechanics Of Material Torsion 3 - * Torque is a moment that twists a member about its longitudinal…

© Fritz Albregtsen 2008 2 Reflection, refraction, diffraction, and scattering In this chapter we will describe how radiation is reflected off a surface, transmitted into…