Calculating Axial Stress for a 16mm Steel Bar Under 25kN Load

In summary: The cross sectional area is pi(0.008m)^2 = 2.01x10^-4In summary, the normal axial stress in the steel bar with a diameter of 16mm and resisting a force of 25kN is calculated by dividing the force by the cross-sectional area of the bar. The cross-sectional area can be found using the formula pi(r)^2 where r is the radius (half of the diameter). Therefore, the stress is equal to 25kN divided by 2.01x10^-4 sqm, which is approximately 1.24x10^8 MPa.
  • #1
SenseAO
8
0
A steel bar that is 16mm in diameter is resisting a force of 25kN. What is the normal axial stress in the bar(MPa)


Since MPa = N sqmm would it be 25kn/(0.016m x 0.016m)

Im more after the process on how to get the answer than the answer itself.
 
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  • #2
Start by looking up the definition of stress.
 
  • #3
Yes i have and i get the picture in my head. But i just can't place where the 16mm goes.
 
  • #4
What quantities goes into calculating the stress?

Perhaps you're simply missing the implication of the use of the word diameter.
 
  • #5
F/A?

Force being 25kn and the area being 16mmx16mm?
 
  • #6
Good. What precisely does A stand for? It's an area, but the area of what?
 
  • #7
The cross sectional area of the beam?
 
  • #8
Right. The cross-sectional area depends on the shape of the cross section. A=0.016m x 0.016m would work if the cross section were square, but is that the case here?
 
  • #9
Does not specify. So than we would just do 25kn/0.016m = to give us 1562.5kNm converting this to Nmm would give us 1562 x 10^6 Nmm

am i somewhat right?
 
  • #10
No, that's not correct. For one thing, when you divide, the units divide as well, so you end up with kN/m, not kN m.

What does the 16-mm given correspond to? The problem statement implies what the shape is.
 
  • #11
The 16mm corresponds to the bar
 
  • #12
The length of the bar?
 
  • #13
yes, uniformly across the bar
 
  • #14
Figured it out.
 

1. How do you calculate axial stress for a 16mm steel bar under 25kN load?

To calculate axial stress, you need to divide the applied load (25kN) by the cross-sectional area of the steel bar (16mm x 16mm = 256mm²). This will give you the axial stress in units of force per area, such as N/mm² or MPa.

2. What is the significance of calculating axial stress for a steel bar?

Calculating axial stress allows us to understand how much force a steel bar can withstand before it starts to deform or break. This information is crucial in engineering and construction, as it helps determine the appropriate materials and designs for structures.

3. Is 16mm a standard size for steel bars?

Yes, 16mm is a commonly used size for steel bars in construction. However, the size and shape of steel bars can vary depending on the specific application and load requirements.

4. What is the maximum allowable stress for a 16mm steel bar?

The maximum allowable stress for a 16mm steel bar will depend on several factors, including the type of steel, its grade, and the intended use. It is important to consult industry standards and guidelines to determine the appropriate maximum stress for your specific application.

5. Can you calculate axial stress for other materials besides steel?

Yes, the same formula can be used to calculate axial stress for other materials as long as you have the applied load and the cross-sectional area. However, the maximum allowable stress will vary depending on the material's properties.

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