{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Mid-term6

# Mid-term6 - UNIVERSITY OF CALIFORNIA BERKELEY College of...

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

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Mechanics of Materials (CE130) The Second Mid-term Examination Problem 1. Derive the differential equation for Bernoulli-Euler beam. Consider following infinitesimal beam element: (a) dV dx = q ( x ); (1) (b) dM dx = V ( x ) (2) (10 points) Figure 1: A 2D infinitesimal element Problem 2. Draw shear & moment diagrams for the following beams (see: Fig. 2 (a)(b)) and label the peak values for the corresponding maximum shear and maximum moment. (25 points) Figure 2: Beams with external loads 1

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

View Full Document
Problem 3. A box-beam shown in Fig. 3 is subjected to a shear force V at the given cross section. Find the maximum shear stress within the cross section. τ = V Q I z t Q = A ydA = A ¯ y I z = I zc + d 2 z A parallel axis theorem I zc = bh 3 12 for rectangular cross section . (3) (20 points) Figure 3: The cross-section of a box-beam. Problem 4. A T-beam shown in Fig. 4 (a) is made of linear elastic-perfectly plastic material (shown in Fig
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern