Question

The nylon cord has an original length L and is tied to a bolt at A and a roller at B. If a force P is applied to the roller, deter,ime tje mor,al strain in the cord when the roller is at C, and at D. If the cord is originally unstrained when it is at C, determine the nirmal strain

Answer 1

Normal strain (Ed') = √∆²+L/L - √∆²+L/L

Explanation:

1. it is important to determine Ed' as Ed' = Ed - Ee

Firstly, we determine the lengths between points AB, AC and AD

For AC: /AC/ = √ ∆²c + L²

For AD: /AD/ = √∆²d + L²

For AB: AB = L

2. To calculate the normal strain for point C

Ec' = |AC| - |AB|/|AB|

Ec' = √∆²c + L² - L/L

Now we determine Ed' from the formular Ed' = Ed - Ec

= √∆²d+L/L - √∆²c+L/L

Therefore,

Ed' = √∆²d+L²/L - √∆²c+L²/L

Ed' stands for normal strain