Stress Analysis Problem: Bending and Shear Stress Calculations in SI Units"

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SUMMARY

The discussion focuses on calculating bending and shear stresses in SI units for a stress analysis problem. Participants emphasize the importance of using correct units, specifically converting pounds to newtons and inches to meters. A free-body diagram (FBD) is highlighted as essential for visualizing applied loads and reaction forces, with specific attention to labeling points and forces accurately. The solution for part (c) requires writing functions for bending moments, transverse shear forces, and torsional moments, rather than directly calculating stress.

PREREQUISITES
  • Understanding of bending stress and shear stress formulas
  • Ability to create and interpret free-body diagrams (FBD)
  • Knowledge of SI unit conversions (e.g., lb to N, inch to m)
  • Familiarity with functions and discontinuities in engineering mechanics
NEXT STEPS
  • Study the derivation of bending moment and shear force equations
  • Learn how to construct and analyze free-body diagrams in structural analysis
  • Research the concept of discontinuities in piecewise functions for engineering applications
  • Explore the relationship between torsional moments and shear forces in beams
USEFUL FOR

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

Precursor
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Homework Statement

(Note: I assumed SI units. So lb=N, inches=m)
[PLAIN]http://img535.imageshack.us/img535/4355/10594047.jpg


The attempt at a solution

For part (a) and (b) I have:

[PLAIN]http://img219.imageshack.us/img219/3049/83432480.jpg


However, how do I go about doing part (c)? Do I use the normal bending stress and shear stress formulas?
 
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Precursor said:
(Note: I assumed SI units. So lbf = N, inch = m.)
Excellent.

Precursor: Nice free-body diagram (FBD). Note that Nm should instead be N*m.

When you draw a FBD, you show the dimensions, the applied loads, and the reaction forces. Usually you label key points on a FBD with letters. E.g., you might want to name the point at the origin point A, if you wish, and the other two points B and C. Usually you label the reaction forces as unknowns, such as RAz, MAx, MAy, unless you already know a reaction force with certainty and specifically want to show it as numeric (but usually I still show it as an unknown on the FBD). Notice, your reaction force is correct. But your reaction moments, MAx and MAy, are currently drawn backwards.

No, part (c) does not ask for stress. Write functions for the bending moment, transverse shear force, and torsional moment. The functions will have discontinuities at point B. You could create functions with discontinuities, if you wish. Or you could work it as two separate sets of functions for segments AB and BC, if you wish.
 

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