Normal strain of cable through arc

Click For Summary
SUMMARY

The discussion focuses on the mechanics of materials, specifically analyzing the strain of a cable as it passes through a 0.3-degree arc. The height of the cable remains 300mm, which is the length of the rod segment from point B to C, despite the rotation. To solve for the new strained triangle, the law of cosines should be applied to determine the remaining dimensions. This clarification is crucial for understanding the geometric implications of the cable's movement.

PREREQUISITES
  • Understanding of mechanics of materials principles
  • Familiarity with the law of cosines
  • Knowledge of strain calculations using the formula eAB=(Lf-Lo)/(Lo)
  • Basic geometric concepts related to triangles and angles
NEXT STEPS
  • Study the application of the law of cosines in mechanics problems
  • Explore strain analysis techniques in mechanics of materials
  • Review geometric transformations involving arcs and angles
  • Practice problems involving cable strain and rotation scenarios
USEFUL FOR

Students preparing for mechanics of materials courses, engineering professionals involved in structural analysis, and anyone interested in the practical applications of strain in cable systems.

coasterguy
Messages
2
Reaction score
0

Homework Statement



See attachment

Homework Equations



eAB=(Lf-Lo)/(Lo)

The Attempt at a Solution



Ok, this is not for HW. I am preparing for a mechanics of materials class next semester. I don't understand when CB goes through the 0.3 degree arc, they say the height is still 300mm. Shouldn't it be slightly less than 300mm? If so, then I have only one angle and one non hypotenuse side, I can't figure out how to solve the rest of the new strained triangle.

Thank you!
 

Attachments

  • 2-8.JPG
    2-8.JPG
    29.7 KB · Views: 561
Physics news on Phys.org
300 mm is not the height, it is the length of the part of the rod from B to C, which is unchanged after rotation. Then use the law of cosines as shown.
 

Similar threads

Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
5K
Replies
3
Views
2K
Replies
6
Views
3K
Replies
6
Views
598
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 12 ·
Replies
12
Views
4K
Replies
1
Views
3K