×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

## CONTINUUM MECHANICS

by: Rollin Mann DVM

7

0

3

# CONTINUUM MECHANICS EGM 6611

Rollin Mann DVM
UF
GPA 3.79

Staff

These notes were just uploaded, and will be ready to view shortly.

Either way, we'll remind you when they're ready :)

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
3
WORDS
KARMA
25 ?

## Popular in Engineering & Applied Science

This 3 page Class Notes was uploaded by Rollin Mann DVM on Saturday September 19, 2015. The Class Notes belongs to EGM 6611 at University of Florida taught by Staff in Fall. Since its upload, it has received 7 views. For similar materials see /class/207078/egm-6611-university-of-florida in Engineering & Applied Science at University of Florida.

×

## Reviews for CONTINUUM MECHANICS

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/19/15
70 D7 Vn Qnoc EGM 6611 Continuum Mechanics Fall 2005 1 Week 7 Homework See course web page for due date Problems in 1 Section 34 Problems 27 4 Answer to Problem 4 t a R Q7 071mm 07071077111 239 b RH 7 0nltmmgt 7 0mm 7 Wm gv Wm Section 35 Problems 3e7 7e Answer for Problem 3e Tm 28284kpm397 20 721 71 Answer for Problem 7e Tm 13kp52397 Oz 1130 Section 66 Problem 2 Additional problems Problem 71 In this problem7 you learn how to prove the inequalities 3411 in 17 p98 related to the Mohr circles for 3 D stress states Note that there is a misprint in the inequality 34112 the correct inequality with absolute values is 1 1 l02 0103l S R2 01037 71 where we assumed that 01 Z 02 Z 03 7 72 using the notation in the lecture notes Recall that in class7 we proved the following an e a akgt 7702 Bi 73 RX 3 if Uj 02 0k 02 l Ujak i lt7 0102 7 74 where 2397j7 k are permutations of 17 27 37 and Bi is the radius of the Mohr circle corre sponding to the component m of the normal n 1 First7 lets try to prove 34111 Note that mi 6 7171 a Show that l l 5 Nov 20037 1204 70 D7 Vn Qnoc EGM 6611 Continuum Mechanics Fall 2005 2 b Choose 239 1 and thus j 2 k 3 or j 3 k 2 Show that 1 7110 gt R1RI 02703 b 1 711l1 gt R1R13017 0 20 3 n1 6 7110i1 7 R1 Rf 79 where m E AB means that m belongs to the set A and not to the set B with 1 Eff 7 7712 02 7 01 03 7 71 7 0203 7 Z 02 7 032 710 1 2 Z 1039270393 c Finally show that R g R g R 712 It follows that R is the minimum radius and R1 the maximum radius ie Rf R1 3 R1 713 which is exactly the inequality 34111 2 Next you want to prove the second inequality 34112 in 1 or more correctly 71 a Choose 239 2 j 1 k 3 Show that 1 7120 gt R2Rgi 039170393 1 712t1 gt I 027 03910393 n2 6 7110i1 7 R2 R3 716 with 1 Ray 7222 01 7 lt72 lt73 7 02 7 0103 101 032 717 1 2 S 101 lt73 718 b Finally show that R3 3 R 3 R3 719 It follows that R7 is the minimum radius and R the maximum radius ie R3 3 R2 3 R 720 which is exactly the inequality 71 5 Nov 2003 1204 70 Dr Vu Quoc EGM 6611 Continuum Mechanics Fall 2005 3 The third inequality 34113 in 1 is proved following the same procedure as outlined above References 1 L E Malverri Introduction to the Mechanics of a Continuous Medium Prentice Hall7 lric7 Englewood Cliils7 New Jersey7 1969 17 27 3 5 Nov 20037 1204

×

×

### BOOM! Enjoy Your Free Notes!

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Kyle Maynard Purdue

#### "When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the material...plus I made \$280 on my first study guide!"

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Parker Thompson 500 Startups

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com