In order to calculate the extension of the cable we must first calculate the strain. Strain is related to Young's modulus using the following relation:
E = σA / εA
Where:
E = Young's Modulus
σA = Axial Stress
εA = Axial Strain
Therefore to calculate the strain, we must first calculate the axial stress in the cable:
σA = Force / Area
The cross sectional area (CSA) of the cable is equal to:
CSA = (pi(d2))/4 = pi x r2
CSA = pi(0.0036)2
CSA = 4.0715x10-5 m2
Axial Stress = (500 x 9.81) / 4.0715x10-5
σA = 120471449.98 Pa
Axial Stress = 120.47144998 MPa
Strain of cable (εA) = Axial Stress / Young's Modulus
εA = 120.471x106 / 210x109
εA = 5.736735713x10-4
To calculate the extension of the cable:
εA = Extension / Original Length
Therefore:
Extension = εA x Original Length
= 0.0045893885704 m
Deformation due to axial load
DEFORMATION = (FORCE X LENGTH) / (CROSS SECTION AREA X YOUNGS MODULUS)
Assuming g=9.807m/s^2
Assuming Youngs Modulus = 210GPa
Assuming Simple Loading (straight hanging weight)
Approximating cable as homogeneous steel rod
Deformation in said cable is 6.66mm
Because of the structure of cable extension will occur due to contraction of the strands into a tighter form the actual extension of the cable will be greater than the approximation made.
young modulus remain unaffected ...as it depends on change in length ..
I think you mean "What variables affect young's modulus". Obviously not an english major!
This is known as the Modulus of Elastisity, or Youngs Modulus (in tension/compression) and will be a constant as long as the deformation is in the elastic range.
Most riot shields list the material of construction as Lexan, the trade name for the polycarbonate polymer. The young's modulus of polycarbonate is 2.0-2.4 GPa (gigapascals).
en 24 is an alloy steel in the .40 carbon range. Young's modulus between 28 and 30 million PSI Tim Engleman
Young's modulus
Youngs Modulus
75gpa
young modulus remain unaffected ...as it depends on change in length ..
I think you mean "What variables affect young's modulus". Obviously not an english major!
Young's modulus-205 kN/mm2 Poisson's ratio = 0.30
there are different types of modulus it depends on what types of stress is acting on the material if its direct stress then then there is modulus of elasticity,if tis shear stress then its modulus of rigidity and when its volumetric stress it is bulk modulus and so on
Metal is not a specific material, how is this ever going to be answered?!
Depends on the hardness of the formulation. Poisson's ratio depends mainly on the bulk modulus and slightly on the Youngs modulus at very low strains for the subject compound. If the Youngs modulus lies between 0.92 and 9.40MN/m², Poisson's ratio lies between 0.49930 and 0.49993.
G = E/2(1+u) where G = mod of rigidity and u =poisson ration and E = young modulus
The value for the cleavage plane (100) is 38 GPa and the value for the cleavage plane (001) is 33 GPa.
This is known as the Modulus of Elastisity, or Youngs Modulus (in tension/compression) and will be a constant as long as the deformation is in the elastic range.