BVP Example - Sagging of a Cable: Boundary Value Problem...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Sagging of a Cable: Boundary Value Problem Dr. S.V. Sreenivasan ME 218 Spring 2006
Background image of page 1

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

View Full DocumentRight Arrow Icon
The Problem Power transmission lines, generally, have cables that have significant weight of their own. This causes the cable to sag. Some amount of sag is also necessary to account for the thermal expansion and contraction during seasonal changes. The sag can be controlled by adjusting the tension in the cable by applying a force (T) at the two ends. T T w(x) x Load distribution
Background image of page 2
The Governing Equation The sag ( w ) of a flexible cable is governed by the equation: Where k is the distributed vertical load, T is the tension in the cable (assumed constant) and R is the flexural stiffness R l x kx R Tw dx w d 2 ) ( 2 2 - + =
Background image of page 3

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

View Full DocumentRight Arrow Icon
Boundary Value Problem This is a Boundary Value Problem since it is known that the cable is fixed at the ends w (0) = 0 w ( l ) = 0 Data: l = 100”, T = 1000 lb, k = 100 lb/in, and R = 50 x 10 6 lb-in 2
Background image of page 4
Finite Difference Formulation This BVP can be solved using the
Background image of page 5

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

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 06/23/2011 for the course ME 218 taught by Professor Unknown during the Fall '08 term at University of Texas.

Page1 / 14

BVP Example - Sagging of a Cable: Boundary Value Problem...

This preview shows document pages 1 - 6. Sign up to view the full document.

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