New User Special Price Expires in

Let's log you in.

Sign in with Facebook


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


Create a StudySoup account

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

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here


by: Jaylan Rath


Jaylan Rath
Texas A&M
GPA 3.77


Almost Ready


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

Purchase these notes here, or revisit this page.

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

Preview These Notes for FREE

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

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

Class Notes
25 ?




Popular in Course

Popular in Civil Engineering

This 9 page Class Notes was uploaded by Jaylan Rath on Wednesday October 21, 2015. The Class Notes belongs to CVEN 305 at Texas A&M University taught by Staff in Fall. Since its upload, it has received 31 views. For similar materials see /class/226117/cven-305-texas-a-m-university in Civil Engineering at Texas A&M University.

Similar to CVEN 305 at Texas A&M

Popular in Civil Engineering




Report this Material


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: 10/21/15
Radius of curvatureEverything0coin I 0 30 O 8 r ngmmrai gx ay to you 39 393939393939 quotquotquotquot 39 ff it il iflj C y t 9 on W Radius of Curvature is an expression of how cude a curve is alkmgnnisha g t u or In Lntansigggrgmates it is the rategjchame of s with respect see such strange sights ction to up that is dsdip Geometrically it represents the radius of an Sons of Steel review kat g B gwi quotgsculatingquot lit kissing apparently ircl that is the circle 39 WW which is the best fit for the line at a given point Hence the Up S mba 33429 W radius of curvature for a circle ls simply its radius educational glowingjjsh accountability idea Otherwise radius of curvature or its i no a quot u v turequot k g c g L LL43 Sun Ultra 30 thing Joglsmamo dipd5 is most easily found when the ELIQQLLJQ is expressed in intrinsic coordinates However as conversion from other coordinate systems to intrinsic is often complicated radius of curvature can be expressed for cartesian form directly For a cartesian curve yfx at a point Pxy the gradient is dydx and is also the gradient of the tangent at P From the de nition of the Intrinsic coordinates SLJ of P this gradient is equal to tam Lu It should also be noted that dxds cos Lp from the expression for arc length As dydx tan qJ dZydx2 ddx tan up sechp dwdx lmpjgtcdi ereotlotion Rearrangement gives dxde SECZLIJ dzydxz As dxds cos Lu dsdx 1cos Ly p the radius of curvature is found by dsde which by the Quail rule equals dsdx dxde Therefore p 1cos lp secztp dZydxz sec w daydxz As 1 tanzip seczip sec L1 1 tanzip Z So sec q 1 tan ip32 1 d dgtlt23 2 So radius of curvature p for yfx 1 ciydX23 2 daydle Similarly for a curve defined by parametric coordinates xft and ygt then p 39 dxdt2 oiycit2 132 dxdt dZYdtzl dYdt dZXdtz Note however that once you move from the cartesian plane to high er dimensions it becomes necessary to use vector calculus In that case it is easier to nd the curvature and then take the reciprocal of that to get radius of curvature To achieve this we nd the gaittangegtT to the curve C defined by mcmgjungtjgn rt at a given point using T r39t r39t that is find the tangent line as usual then normalise it Then we oet curvature K bv lldTdsll Bv the httpeverything2comtitleRadius25200f25200urvature 10142008 51 J m I 3 at 710 M 81 2 7m EIquot quot39 104790icz 39 1392 1 I 39 Avemp a39 O V 7 O mac 7149 Cz 2 r MC25 E 4 IO 720AP 3L4O 8 7T a CVEN 305 CLASS L MBER DATE PAGE 90 I 39 E3527KK I I 2MB 0 400 55g Rcoog 4l FT39 I A V 831 3 ZMJ393C3 4rKWVMWZ3W 1 gmae if W 4e 39 i 7 Q i I 2270le E 6 24 1 41 MIZ ZAPZJFZ39MU S V f 39 2442le 39 CVEN 305 CLASS NUMBER DATE PAGE j ZMQAC 20 E i 2397 AL 23 BBQL39JZ Mn 243 ww 450 msmm dz 39 A 3 39 jg recwwac 5074 24 a 3 2 3 7 t s 5er L CVEN 305 CLASS NUMBER DATE PAGE j ALTvZVaL E 439 Vv ZLLC CZgt4ZBQ ZCO m 4511 W12 2 I H quot I 21 j A lym zzf a C54L 6 42191433 542 c 3 2 4C4 O 11 9 V 2 v N39LIFL ill 3916 r V i 7 i24ff 048 460 ZACSI muo 17 E O ZGZYZ EOCIZf39 7 Mb M2 I i Ow CVEN 305 CLASS NUMBER DATE PAGE 2 quot i 4 Z W 39 CW m M4 31in 5 A f I 2 3 Z j r C quotWZEDZB y C3 3 f 7 WWW 7 CVEN 305 CLASS NUMBER DATE PAGE G7 CVEN 305 CLASS NUMBER DATE PAGE I Hi w Po Qt 1 l m0 a I 0 h j I 39


Buy Material

Are you sure you want to buy this material for

25 Karma

Buy Material

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

Jim McGreen Ohio University

"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."

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 I made $280 on my first study guide!"

Steve Martinelli UC Los Angeles

"There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

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


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


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:

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

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.