Mid-term1a - UNIVERSITY OF CALIFORNIA, BERKELEY College of...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Mechanics of Materials (CE130-I) Fall 2005 The First Mid-term Examination Problem 1. A hollow circular shaft has the dimensions shown in the figure. (a) Find the maximum shear stress in terms of inner diameter a , outer diameter b , and applied torque T ; (b) find a solid cylinder shaft with the diameter, d that has the same maximum shear stress, i.e. determine the diameter d in terms of a and b . Figure 1: A hollow circular shaft Hint: For a solid cylinder : J p = πd 4 32 (1) τ max = Tc J p ; (2) Problem 2. Derive the equilibrium equation for a two-dimensional infinitesimal element in the horizontal ( x ) direction. Note that the thickness of the element (z-direction) is taken as 1 (unit length), and X,Y are the body forces with the unit (force per unit volume). (20 points) Problem 3 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Figure 2: A 2D infinitesimal element Figure 3: A two-bar bracket system A wall bracket is constructed as shown in the Figure 3. All joints may be considered pin con- nected. There is an external force
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 3

Mid-term1a - UNIVERSITY OF CALIFORNIA, BERKELEY College of...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online