Answer:
a) P = 86720 N
b) L = 131.2983 mm
Explanation:
σ = 271 MPa = 271*10⁶ Pa
E = 119 GPa = 119*10⁹ Pa
A = 320 mm² = (320 mm²)(1 m² / 10⁶ mm²) = 3.2*10⁻⁴ m²
a) P = ?
We can apply the equation
σ = P / A ⇒ P = σ*A = (271*10⁶ Pa)(3.2*10⁻⁴ m²) = 86720 N
b) L₀ = 131 mm = 0.131 m
We can get ΔL applying the following formula (Hooke's Law):
ΔL = (P*L₀) / (A*E) ⇒ ΔL = (86720 N*0.131 m) / (3.2*10⁻⁴ m²*119*10⁹ Pa)
⇒ ΔL = 2.9832*10⁻⁴ m = 0.2983 mm
Finally we obtain
L = L₀ + ΔL = 131 mm + 0.2983 mm = 131.2983 mm
Answer: True
Explanation:
Engineering stress is the applied load divided by the original cross-sectional area of a material. It is also known as nominal stress. It can also be defined as the force per unit area of a material. Engineering Stress is usually in large numbers.
While Engineering strain is the amount that a material deforms per unit length in a tensile test. It can also be defined as extension per unit length. It has no unit as it is a ratio of lengths. Engineering Strain is in small numbers.
Answer:
λ^3 = 4.37
Explanation:
first let us to calculate the average density of the alloy
for simplicity of calculation assume a 100g alloy
80g --> Ag
20g --> Pd
ρ_avg= 100/(20/ρ_Pd+80/ρ_avg)
= 100*10^-3/(20/11.9*10^6+80/10.44*10^6)
= 10744.62 kg/m^3
now Ag forms FCC and Pd is the impurity in one unit cell there is 4 atoms of Ag since Pd is the impurity we can not how many atom of Pd in one unit cell let us calculate
total no of unit cell in 100g of allow = 80 g/4*107.87*1.66*10^-27
= 1.12*10^23 unit cells
mass of Pd in 1 unit cell = 20/1.12*10^23
Now,
ρ_avg= mass of unit cell/volume of unit cell
ρ_avg= (4*107.87*1.66*10^-27+20/1.12*10^23)/λ^3
λ^3 = 4.37
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