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

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SUMMARY

This discussion focuses on solving two engineering problems: Mohr's Circle and shear stress in an I beam. The key equations involved include the moment of inertia formula I = d . b^3 / 12 and the maximum shear stress equation tmax = (F / I . b) . (A1 . y1) + (A2 . y2). The user seeks clarification on whether to measure the angle for Mohr's Circle clockwise or anticlockwise and how to determine the maximum shear force from the shear force diagram versus a point load of 15kN.

PREREQUISITES
  • Understanding of Mohr's Circle for stress analysis
  • Knowledge of shear stress calculations in structural engineering
  • Familiarity with moment of inertia concepts
  • Ability to interpret shear force diagrams
NEXT STEPS
  • Study the construction and interpretation of Mohr's Circle in detail
  • Learn about shear stress distribution in I beams
  • Research methods for calculating maximum shear force from shear force diagrams
  • Explore advanced topics in structural analysis, such as bending moment and shear force relationships
USEFUL FOR

Engineering students, structural analysts, and professionals involved in mechanical and civil engineering who are working on stress analysis and beam design.

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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
 
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