How Do You Calculate the Compression of Aluminum and Brass Rods Under Force?

N is applied to the rods, how much does their combined length decrease?" [ans: 0.55mm)In summary, the conversation discusses the problem of finding the combined length decrease of two rods when a compressive force of 8400N is applied. The rods are of equal length (0.45m) and diameter (1.5cm) but made of different materials, aluminium and brass. It is suggested to calculate the decrease in length for each rod individually and then add the results together as
  • #1
Lalasushi
11
0
"2 rods of equal length (0.45m) and diameter (1.5cm) are placed end to end. one rod is aluminium, the other is brass. if a compressive force of 8400N is applied to the rods, how much does their combined length decrease?" [ans: 0.55mm)

with this question, I am not sure whether its ok to find the compression of each of the rods separately first, then add the answers together to get the combined length decrease becuase i couldn't get the right answer that way...and i don't know if its ok to add the 2 young's modulus for the 2 materials together and then treat it as one material...can anyone help me out here?
 
Physics news on Phys.org
  • #2
Your first method should have worked. Did you find the areas? You cannot add the moduli of the two materials first. Show what you did and someone will find where you went wrong.
 
  • #3
Hint: You need to calculate the decrease in length for two rods individually and then add the compressions of both.

BJ
 

FAQ: How Do You Calculate the Compression of Aluminum and Brass Rods Under Force?

What is Young's modulus for aluminum?

The Young's modulus for aluminum is a measure of its stiffness or elasticity, and is typically denoted by the symbol E. It is a material property that describes the amount of stress required to produce a given amount of strain in a material.

How is Young's modulus determined for aluminum?

Young's modulus for aluminum can be determined through various testing methods, including tensile testing, compression testing, and bending testing. These tests involve applying a known amount of stress or force to the material and measuring the resulting strain. The ratio of stress to strain is then calculated to determine the modulus.

What is the value of Young's modulus for aluminum?

The value of Young's modulus for aluminum can vary, depending on the specific alloy and processing of the material. However, on average, it falls within the range of 68-79 GPa (gigapascals) or 9,900-11,500 ksi (thousands of pounds per square inch).

How does Young's modulus for aluminum compare to other materials?

Compared to other common materials, aluminum has a relatively high Young's modulus, meaning it is a stiffer material. For example, steel typically has a higher modulus than aluminum, while rubber has a lower modulus.

How does temperature affect Young's modulus for aluminum?

Like most materials, the Young's modulus for aluminum can be affected by changes in temperature. In general, as temperature increases, the modulus decreases, making the material less stiff. However, this effect is relatively small for aluminum, with a decrease of about 0.1% for every 10°C increase in temperature.

Similar threads

Confusion Calculating Young's Modulus
Replies
5
Views
805
How Do Mass and Young's Modulus Affect Cylinder Stability?
Replies
1
Views
1K
How Does Young's Modulus Affect the Elongation of Composite Rods?
Replies
1
Views
6K
How Does Temperature Affect the Fit Between a Brass Ring and an Aluminum Rod?
Replies
1
Views
2K
Young's Modulus: Vibrations in a rod
Replies
4
Views
3K
Calculating Force on a Stretched Steel Rod | Young's Modulus 200*109 Pa
Replies
1
Views
2K
Determine the modulus of elasticity, Poisson's ratio and the shear modulus.
Replies
1
Views
8K
How Does Young's Modulus Differ from Spring Constant in Shape and Geometry?
Replies
10
Views
6K
Calculating Speed of Sound in Nickel using Atomic Properties
Replies
5
Views
6K
How Do You Calculate Young's Modulus from Tensile Stress and Strain Data?
Replies
23
Views
2K

Hot Threads

Recent Insights

Back
Top