Basic Forces & Bolts: Getting Started on Homework

Click For Summary

Discussion Overview

The discussion revolves around a homework problem related to the forces acting on bolts and threaded fasteners in a structural context. Participants explore the distribution of forces among bolts and plates, the impact of cable tensions, and the role of friction and shear forces in calculations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses uncertainty about the simplification of their free body diagram (FBD) and the distribution of forces among bolts and plates.
  • Another participant suggests that the load on each bolt should be divided by two due to the presence of multiple foundations, while noting ambiguity in the problem statement regarding cable tensions.
  • A participant clarifies that their focus is on bolts and fasteners, indicating that the implications of cable failures are secondary to their calculations.
  • Concerns are raised about accurately determining the load on the bolts given the unclear loading conditions from the cable tensions.
  • One participant emphasizes the importance of considering torque on the tower if cables fail on one end, suggesting a need for a more comprehensive analysis.
  • Multiple methods for calculating frictional forces are proposed, with one participant presenting two approaches to determine the frictional resistance and its effect on bolt loads.
  • Another participant expresses skepticism about relying on friction, suggesting that bolts should be designed to handle shear forces equally instead.

Areas of Agreement / Disagreement

Participants exhibit a mix of agreement and disagreement regarding the calculations and assumptions about forces acting on the bolts. There is no consensus on the best approach to account for friction and shear forces, and the discussion remains unresolved on several technical aspects.

Contextual Notes

Participants highlight limitations in the problem statement, particularly regarding the loading conditions and the distribution of forces, which may affect the accuracy of their calculations.

el_diablo549
Messages
10
Reaction score
0

Homework Statement


fgg028Bl.png

qfXowmyl.png


Homework Equations


sum of forces in x and Y = 0
sum of the moments at a point = 0
Ffr = normal force * friction coefficient

The Attempt at a Solution



Im just trying to make a start, I am struggling to wrap my head around the basics with this question. Do you guys think I have simplified my fbd too much and I am not sure how the force is distrubuted amoung the bolts and the plates and whether to include the distance between bolts in the first fbd or to add it into the calcs of each individual plate.
Not after answers just want to check I am on the right path

H6HVmtWl.jpg

G64mQE5l.jpg
 
Physics news on Phys.org
You have the correct approach, except that there are 2 foundations on the bearing side and 2 on the uplift side, so your numbers for the load on each bolt will need to be divided by 2. But the problem statement is unclear when it mentions all cables torn on one side, so you'd have to multiply the FT load by 6 to account for 6 phase conductors , I guess, and it would be slightly conservative to apply that load all at point m. Looks like Earth wires are assumed not to carry any of the unbalanced load.
 
thanks for the reply, the question is mostly aimed at bolts and threaded fasteners So I am not too worried about the forces on the cables etc I just need to get it right for my calcs. I think what they implied by saying one side broken is either front or back that way the force would be in one direction instead of opposite.
 
Well ok but you can't find the load on the bolts if the problem is unclear as to what loading to use for the cable tensions. If the resultant load of the cable tensions on one side is 12 kN directed as shown and applied at the center of the tower body at 25 m from the base, then your calculations for the tension in the bolts on the uplift side is off by a factor of 2 because there are 4 foundations not 2.
 
yer I've fixed that one up thanks
 
In the real world, at least consider the torque on the tower if cables on one end of the crossarms fail and the diagonal cables on the other end of the crossarms also fail.
 
What about the frictional force and shear force of the bolts? two methods of thinking either the frictional resistance of the tower is 114*0.17 = 19.38 therefore to reach equilibrium the frictional resistance the combined plates create needs to equal 90.39-19.38 = 71.01kN and each bolt is 71.01/4 = 17.52

Or

friction on left side = (202-57) *0.17 = 24.65 and right side is (316.95 + 57) *0.17 = 63.57 and divide each number by 2 to find for each plate
 
el_diablo549 said:
What about the frictional force and shear force of the bolts? two methods of thinking either the frictional resistance of the tower is 114*0.17 = 19.38 therefore to reach equilibrium the frictional resistance the combined plates create needs to equal 90.39-19.38 = 71.01kN and each bolt is 71.01/4 = 17.52

Or

friction on left side = (202-57) *0.17 = 24.65 and right side is (316.95 + 57) *0.17 = 63.57 and divide each number by 2 to find for each plate
I never count on friction, there is really none available on the uplift side anyway. I'd design the bolts to take all the shear equally.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
Replies
7
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
6
Views
7K
  • · Replies 4 ·
Replies
4
Views
6K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
Replies
25
Views
9K
  • · Replies 4 ·
Replies
4
Views
2K