Homework check - Mohr's circle & Shear stress in I beam

Click For Summary
The discussion centers on two homework problems: Mohr's circle and shear stress in an I beam. For Mohr's circle, there is uncertainty about whether to measure the angle of 78° clockwise or anticlockwise from the Y-axis. In the shear stress problem, clarification is sought on whether to use the maximum value from the shear force diagram or the 15 kN point load as the maximum shear force. Participants are encouraged to split the questions into separate threads for focused discussion. The conversation highlights the complexities of interpreting angles and forces in structural analysis.
ridiculoid
Messages
18
Reaction score
0

Homework Statement



Mohrs circle question - https://imgur.com/SKeTUXN

Shear stress in I beam question - https://imgur.com/34yTyCA

Homework Equations



Mohrs Circle - None

Shear stress in I beam - I = d . b^3 / 12
tmax = (F / I . b) . (A1 . y1) + (A2 . y2)

The Attempt at a Solution



For the Mohr's circle question, I have drawn 2 induced loading elements (shown at the bottom of of my working) I just seem to have conflicting information from some class examples and am wondering whether I take the 78° clockwise or anticlockwise from the Y axis of the element.

Mohrs circle working - https://imgur.com/YPtVNSb

In the shear stress in an I beam question, It is asking for the maximum shear FORCE in the beam. Do I take the maximum value from the shear force diagram as shown in my working? or is the maximum shear force the 15kN at the point Load?

Shear stess in I beam working - https://imgur.com/UCAexj6
 
Physics news on Phys.org
Please split this into separate threads and post the complete question as given to you in each.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 29 ·
Replies
29
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 36 ·
2
Replies
36
Views
6K
  • · Replies 13 ·
Replies
13
Views
9K
  • · Replies 3 ·
Replies
3
Views
4K