Calculate factor of safely on a steel bar

  • Thread starter Thread starter Girn261
  • Start date Start date
  • Tags Tags
    Steel
Click For Summary
SUMMARY

The discussion focuses on calculating the factor of safety for a steel bar subjected to a load of 600N. The calculations involve determining stress, strain, and elongation (∆l) using the given diameter of 10cm, length of 10m, Young's modulus (E) of 2256 GPa, and an elastic limit of 518 MPa. The calculated stress is 76.4 kPa, strain is 3.386×10^-8, and the factor of safety is determined to be 6780.62, which is attributed to the relatively small load acting over a large area.

PREREQUISITES
  • Understanding of basic mechanics of materials
  • Familiarity with stress and strain calculations
  • Knowledge of Young's modulus and elastic limit concepts
  • Ability to perform unit conversions (e.g., from N to Pa)
NEXT STEPS
  • Study the principles of stress and strain in materials
  • Learn about the significance of the factor of safety in engineering design
  • Explore the effects of load distribution on stress calculations
  • Investigate the implications of large area loads on material performance
USEFUL FOR

Engineering students, materials scientists, and professionals involved in structural analysis and design will benefit from this discussion, particularly those focused on stress analysis and safety factors in engineering applications.

Girn261

Homework Statement



Calculate stress, strain, ∆l, factor of safety

Diameter=10cm
Length=10m
Load=600N
E=2256Gpa
Elastic limit=518Mpa

Homework Equations

The Attempt at a Solution


Area=.7854x(.10^2)

Stress=load/area , 600N/.007854m^2 = 76.4Kpa

E = stress/strain , 2256x10^9Pa = 76394.19Pa/strain , strain = 3.386×10^-8

Strain=∆I/L , 3.386×10^-8 = ∆I/10m , ∆I = 3.386x10^-7

Factor of safety = elastic limit/Max working stress
518x10^6Pa/76394.19Pa = 6780.62

Why am I getting some a huge number for factor of safety? Can't figure out what I'm doing wrong
 
Physics news on Phys.org
I don't know if you are doing anything wrong, it's just that 600 N is a very small load acting over a relatively large area.
 
  • Like
Likes   Reactions: Girn261

Similar threads

What is the diameter of the cylindrical rod
  • · Replies 9 ·
Replies
9
Views
3K
Calculating Drag Through A Pipe
  • · Replies 1 ·
Replies
1
Views
2K
Stretching of a wire due to it's weight
  • · Replies 19 ·
Replies
19
Views
4K
Temperature of a bar to produce certain force on wall
  • · Replies 6 ·
Replies
6
Views
2K
Calculate Force to Elongate Steel Bar
  • · Replies 4 ·
Replies
4
Views
2K
Calculate the stress in the duralumin rod
  • · Replies 4 ·
Replies
4
Views
2K
Stress, Strain, and Sound in a Projectile Steel Rod
  • · Replies 2 ·
Replies
2
Views
2K
Calculate Factor of Safety for Steel Hanger w/ 550 MPa Strength
  • · Replies 13 ·
Replies
13
Views
3K
Traction/ Compression stress and strain exercise
  • · Replies 1 ·
Replies
1
Views
2K
Strain and stress related to young modulus
  • · Replies 4 ·
Replies
4
Views
4K