### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# Machine Design MECH 325

CSU

GPA 3.87

### View Full Document

## 86

## 0

## Popular in Course

## Popular in Mechanical Engineering

This 12 page Class Notes was uploaded by Lionel Hansen on Tuesday September 22, 2015. The Class Notes belongs to MECH 325 at Colorado State University taught by David Alciatore in Fall. Since its upload, it has received 86 views. For similar materials see /class/210248/mech-325-colorado-state-university in Mechanical Engineering at Colorado State University.

## Reviews for Machine Design

### What is Karma?

#### Karma is the currency of StudySoup.

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

Date Created: 09/22/15

Pillsbury Problem 1 33000 A Package of ReadyitoiCook Easy Open Packaging Dinner Rolls the package is opened by litaally bursting at its seams This consists ofa El EI Tensile Strength of Glue Shear Strength of Glue nents as shown Ourtask wmbe these stresses mtEr ms onhe Internal This bursting apan is caused by soesses acting hear c oss theg djmnts In genera ha suesses to analyz d ess ao iue e mu consist of tensile an we caused by the expandhg doqu EI Pillsbury Problem 2 33000 Dimensions of Package 0 30 15quot t 105quot First we identify the basic geomemt patametets Theseateth a ms ofthe tube the thickness ofthe cardboard and the Inclinatmn angle ofthe seam El Betme doing an analysis it is eke me we need to verify that the walls ate mdeedthm El Is it quotThin Walled quot7 9 30 r 15quot t 005quot 30 gt 10 El Calculate the Stresses Longitudinal Stress we have d Internal Pressure detetmme a tatget mtemai tontamet duthg shipping and the sttehgth ofoux avetage customer ended that the mtemai ptessute she111d be abaut 20 plehEn the tontamet splits 0pm El Pillsbury Problem 3 33000 patametet 300 ps El Lon g tudinal Stress pr 0 i 2 2t 62 20 p51 x 2 XUU Gwen the htemai ptessute and the geomems s is a smple matter to calculate the Hoop Stress 3 0391 t 15quot 20 psi x15quot El 5 Calculated Stresses Retumhg to the original gure we now have evaluated the sttesses as shown But K k 01 600 psi 02 300 psi El 91 O k Desired Stresses 7 to evaluate the sttesses a 7 mp ents uehtedas y shown Wene to tdenttrye dthehuse TXy 7 thehansfmmauon equations or Mohr s circle 01 600 p51 02 300 p51 El Desired Stresses k 01 600 psi 02 300 psi El Pillsbury Problem 4 33000 Desired Stresses Recall The StressTransformation Equations 7 F1 h 94 23222 onste x o o o o 7 00526 7 Txy sin 26 ponentsweteoau n com 13 7 thehansfmmauo IX sin 26 Txy c0526 cl 600 psi Note that inthis case out onginalstxess components ate ax GlGy 2 and Txy o 02 300 psi EI EI Substituting Transformation Equations for this Problem m e m e 2 2 00526 We 7 II oz 01 oz I 7 7T7Tcosze 7 We try 7 7 ol 7 7 ol 2 sm 26 TX 526 Tx39y39 7 Tsm 26 TX 526 Txy Therefore we can Eliminate the shear components to simplify the equations as shown 0 7 600 psi 1 e 02 300 p51 EI EI Pillsbury Problem 5 33000 Substituting The Solution Do the calculations 600 300 600 300 600 300 600 300 7 try 7 T 7 T00526 try 7 T 7 T00526 7 2251351 Ry 3070 sin 29 Tx y 3700 sin 29 130 psi 01 bUUpsi 01 bUUpsi e 3930 02 suupsi e 3930 02 suupsi El El Final Results Maximum Shear Stress e iesolved stiess components acting aooss the glue line are as indicated These values could be used to design the glue jmnt so that unintended opening otthe package does not occui try 225 psi 130 psi As long as we have the piincipal nmmal e package otdinneiiolls let s cu at the maximum sh eat stiess expexienced by the cardboard packaglng E E Pillsbury Problem 6 33000 Plot Mohr s Circle Maximum Shear Stress is Radius of Circle Od vaxZ150 psi j i E Wj max 150 psi Remembe an easiest way to deteimine themammiim sheat stiess isto plotMohr s 3mm shw 51255 5 mply C clE to the mess block c 1 Them theiadiiis ofM them is e in this case aximum shear stxess is 150psl Did We Find the True Maximum Element is 37D Shear T 300 psi T 300 psi D l a a 500 psi 500 psi 1 i 7 1 max 150 psi max 150 psi ieauy the mammiim sheat stiess expexiensed by the cardboard7 uiientiy we ate only VlEWlng the stiesses in c Wardlmensmns Let s see what the stiesses look like inthiee dimensions fDXths stiess block E E Pillsbury Problem 7 33000 Element is 3D I 300 psi a 500 psi What is the value ctthe normal stress acting on the face ctthe stress block oriented towards us7 her the assumption we Do youxemem made abcut this stress in solvingthe thin walled pressure vesselprcblem7 El Stress is Zero in Third Direction T 300 psi I a E vessel plane stress Therefore a stress which is criented ncrmaltc the surface ctthepressure vessel is zero Let s now change curperspective on the stress block so we are looking directly down the 600 pslnor mal stress We are NOT rctatingthe stress bl ck walking arcundthe stressblcck tcthe right until our c we are perspective is directly down the 600 psi normal stress T Change Perspective 300 psi a I r 0 lm 600 psi 1 El Change Perspective T300 psi a 0 psi gt 500 psi 1 El Pillsbury Problem 8 33000 El Change Perspective Change Perspective T 300 psi T 300 psi 0 psi 0 psi i U 600 si 600 psi P E E El El New Perspective Another Mohr s Circle For This Perspective T 300 psi T 300 psi 0 psi m psi 1 1 him his piispim WE a W cm Pas gg s j q ffagv j Mordlmansmnal mess block with piimipai stresses 0300 psi and 0 psi Nhat would a m pmpm w 0m mmumg Th h 5 cm W 39h 2 wk 100k M27 time wewishto View the mess cube rpm the top El Pillsbury Problem 9 33000 300 psi 0 psi a 500 psi Change Perspective El 300 psi 9 500 si 0 psi 9 Change Perspective El A 300 psi 1500 psi 1 0 psi Change Perspective El 500 psi 0 psi 4 v Change Perspective El Pillsbury Problem 10 33000 Change Perspective 500 psi I 0psi 0quot El Final Perspective I 500 psi 0 Op FXDm this perspective we see a twordimensmnal ith principal stxesses of600 psi and 0 psi Let s plot aMohr s ciisie tot this stiess block Mohr39s Circle for Third Perspective 1500 psi 0 psi 0psi l i TheM thioiigi the points 00 and 0000 he maxmiim she any diffeme than the othzx El 500 psi ohi s ciisie tot this stiess block passes Do you think that at stxess for this paspeawe Wllle two7 True Maximum Shear Stress I 500 psi 0psi IZI l i 0 psi 600 psi I max 300 psi Wow The m heat stxess for out tinai hi s ciisie is 300psi0 The cardb Mo Bard smtainei is actually EXpEnEnclng a sheai stiess tWise as gieat as we had miginauy thought El Pillsbury Problem 11 33000 37D Mohr s Circle The plotwe havejust created ls known as w Mohr s cltcle h lhdlcates the sheat and nmmal sttesses for p are of m sheat sttess ls shown as shaded mthe cube 37D Mohr s Circle lh genetal sttess Ifweknow the pnhclpal sttesses we can calculate the absolute maxlmum maxlmum pmclpal sttess mlnus the mmlmum ptlhclpal stxess wo hthe case ofplane sttess sen Mohx s cltcle ls necessaty lh calculatlhgthe same 77 le they atebcth tehslle mme ccmptesslve The End Excerpts from th course permitted by Sections 107 and is work may be reproduced by instructors SOLUTION 1225 Known A helical compression spring used for essentially static loading has known d D and N and squared and ground ends It is made of ASTM A227 cold drawn steel Wlf t Find a Compute the spring rate and the solid hei ght b Estimate the greatest load that can be applied without causing longterm erma tent set in excess 0 2 c What spring freelenth will result in the load detemtined in bjust causing the spring to become solid Schematic and Given Data gt d0 l l 00 in Ami7h l l l l I Assumptions 1 Both end plates are in contact with nearly a full turn of wire 2 The end plate loads coincide with the spring axis Analysis d4G 6 1 From Eq 128 k 1 where G 15 X 10 p51 Appendix C l 8D N 4 6 kw735bm I 80625 8 2 To avoid set use Eq 129 1 045 S where Su 2l5 ksi Fig l27 T 0115215 97 ksi XFD C Zd3 3 For static loads I It 3 Ks Eq 126 or F SDKS At C 625 K5 108Fig 124 3 97000rr0 1 Th Fi364lb I quot5 80625l08 4 LgN2dlO0l 10 in I LrLF5k l0564l736 177 in I for distribution on notforp 39 te ting u 39 39 39 quot adopted Any other reproduction or translation ofthis Work beyond that 39 r quotL r L r 39 39 of l 39 i plulliuiteu s nu wniu 108 ofth I 910 an 1

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

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

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over $600 per month. I LOVE StudySoup!"

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "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."

### 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

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.