What is the Tensile Stress, Strain, and Young's Modulus of a Stretched Wire?

In summary, tensile stress is the force applied to a material per unit area, causing it to elongate or stretch. It is typically measured in units of pounds per square inch or newtons per square meter. The tensile stress of a wire is affected by its material properties, diameter, length, and the amount of force applied to it. If the tensile stress exceeds the wire's ultimate tensile strength, it can cause deformation or breakage. Studying tensile stress of wires is important in industries such as construction, engineering, and manufacturing to determine the strength and durability of wires used in various structures and products.
  • #1
h8torade
5
0

Homework Statement


A load of 172 kg is supported by a wire of length 2.07m and cross-sectional area .143cm^2. The wire is stretched by 0.149 cm. Find tensile stress, strain, and Young's modulus.


Homework Equations



stress= F/A
strain= ∆L/L
E= stress/strain

The Attempt at a Solution



1685.6 N /.00143 m^2 = 1.17874e6 N/m^2 <---this one I need help with

.00149 m / 2.07 m = .00072 <--- I know this one is right

1.17874e6 N/m^2 / .00072 = 1.63758e9 N/m^2
 
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  • #2
0.143 cm2 to m2 is wrong. Remember it'll be 10^-4 m2.
 
  • #3
h8torade said:
1685.6 N /.00143 m^2 = 1.17874e6 N/m^2 <---this one I need help with
Careful with units: 1 cm^2 = (0.01m)^2 = 0.0001 m^2
 
  • #4
so the answer to the stress is 1685.6 N / .0000143 m^2 = 1.17874e8

which makes E = 1.63714e11
 
Last edited:

1. What is tensile stress?

Tensile stress is the amount of force applied to a material per unit area, causing the material to elongate or stretch.

2. How is tensile stress measured?

Tensile stress is typically measured in units of pounds per square inch (psi) or newtons per square meter (N/m2).

3. What factors affect the tensile stress of a wire?

The tensile stress of a wire is affected by its material properties (such as strength and ductility), diameter, length, and the amount of force applied to it.

4. How does tensile stress impact the strength of a wire?

Tensile stress can cause a wire to deform or break if it exceeds the wire's ultimate tensile strength, which is the maximum stress the wire can withstand before breaking.

5. What are some common applications of studying tensile stress of wires?

Studying tensile stress of wires is important in various industries such as construction, engineering, and manufacturing, as it helps determine the strength and durability of wires used in structures, machines, and products.

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