Which elastic modulus would be appropriate to describe the jiggling of a cube of Jell-O?
Which elastic modulus would be appropriate to describe the jiggling of a cube of Jell-O?
Homework Answers
Shear modulus would be appropriate to describe the jiggling of a cube of Jell-O.
If you measure the wiggling rate, i.e., count the number of back and forth excursions per unit time, this frequency can be related to the a physical property of the jello called the shear modulus
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Which elastic modulus would be appropriate to describe the
jiggling of a cube of Jell-O?
(3) Elastic constants: (a) Consider a cube of isotropic material and show that the bulk modulus...
(3) Elastic constants: (a) Consider a cube of isotropic material and show that the bulk modulus Eq. (3.5) is related to Young's modulus Eq. (3.1) and Poisson's ratio Eq. (3.6) by K 3(1-2v) (b) What happens when v reaches its upper limit of 0.5? (4) Elastic constants: We have stated that the numerical value of Poisson's ratio is always between +0.5 and -1, but we have proven only the upper limit. Use Eq. (3.10) to argue why -1 is the...
what accounts for the wide range of elastic modulus tension values for the materials? Elastic Modulus:...
what accounts for the wide range of elastic modulus tension values
for the materials?
Elastic Modulus: Tension (GPa) (Linear / Log) 1000 Elastic Modulus: Tension (GPa) Edit Elastic Modulus: Tension (GPa) O COXO + Metal 00 OOOXO + Polymer OO DODO + Ceramic + Composte • 0200 + Advanced Max 950 950 • 000 Low High
A cubic block of side lengths h and mass density p rests on a horizontal flat rigid plate, as shown. Assuming that the cube is isotropic and linearly elastic, whose material properties are characteri...
A cubic block of side lengths h and mass density p rests on a horizontal flat rigid plate, as shown. Assuming that the cube is isotropic and linearly elastic, whose material properties are characterized by the Young's modulus (E) and Poisson's ratio (v), determined the strain distribution in the cube due to the gravity field. For what value(s) of the Poisson's ration the cube will not change its lateral dimensions? gravity
A cubic block of side lengths h and mass...
The assembly shown below is made of aluminum, which has an elastic modulus of 70 GPa....
The assembly shown below is made of aluminum, which has an elastic modulus of 70 GPa. There are two members with cross-sectional areas of A1 125 mm2 and A2 75 mm2 a) Draw and label the axial force diagram for the system with the sign convention discussed in class b) Calculate the axial deformation of Members (1) and (2) in mm and state whether they are elongating or shortening. c) Evaluate the movement at point A, vA (in mm). Be...
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal...
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type, its mean value and standard deviation are 80 GPa and 2.4 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) (a) Calculate P(79 < X < 81) when n = 9. (b) How likely is it that the sample mean diameter exceeds 81 when n = 25? You may need to use the appropriate...
for 60,000 the 1D bar shown with an elastic modulus of 200 GPa, cross-sectional area of...
for 60,000 the 1D bar shown with an elastic modulus of 200 GPa, cross-sectional area of 12.5x10 m2, and length of 1.5 m. determine the following e(x) dx d. σ(x) o (x) dx a) Theoretical axial displacement equation based on ö(x) dx E F(x) dx EA |zE
A solid with a high elastic modulus has: (a) a crystalline structure (b) stiff interatomic bonds (c) strong interatomic...
A solid with a high elastic modulus has: (a) a crystalline structure (b) stiff interatomic bonds (c) strong interatomic bonds and closely spaced atoms (d) A positive slope of the interatomic force vs atomic separation curve The melting point of ice is 273 K, quartz is 1873 K and diamond is 4200 K. Which one has the higher modulus? (а) ісe (b) quartz (c) diamond (d) you cannot decide based on the information given
A solid with a high elastic...
Consider both the energy that can be stored in each sample and each sample’s Young’s modulus...
Consider both the energy that
can be stored in each sample and each sample’s Young’s modulus at
the point where it has been stretched by 20%. Which of the
following statements is most accurate? A.At a strain of 20%, more
energy is stored in the artery than the tendon, and the artery has
a higher elastic modulus at this point.B.At a strain of 20%, more
energy is stored in the tendon than the artery, but the artery has
a higher...
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum...
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively (values given in the article "Influence of Material Properties Variability on Springback and Thinning in Sheet Stamping Processes: A Stochastic Analysis (Int. J. of Advanced Manuf. Tech, 2010: 117-134)). (a) If X is the sample mean Young's modulus for a random sample of n 16...
Problem 1 A uniform elastic rod with Young's modulus 200 GPa, density 8000 kg/m3 and diameter 0.5...
Problem 1 A uniform elastic rod with Young's modulus 200 GPa, density 8000 kg/m3 and diameter 0.5 in. has constant pressure 80 psi applied to the end where x = 0 for a period of 80 micro-second. Derive the expression using appropriate boundary condition and determine - (1) stress pulse (2) strain energy (3) kinetic energy
(3) Elastic constants: (a) Consider a cube of isotropic material and show that the bulk modulus Eq. (3.5) is related to Young's modulus Eq. (3.1) and Poisson's ratio Eq. (3.6) by K 3(1-2v) (b) What happens when v reaches its upper limit of 0.5? (4) Elastic constants: We have stated that the numerical value of Poisson's ratio is always between +0.5 and -1, but we have proven only the upper limit. Use Eq. (3.10) to argue why -1 is the...
what accounts for the wide range of elastic modulus tension values
for the materials?
Elastic Modulus: Tension (GPa) (Linear / Log) 1000 Elastic Modulus: Tension (GPa) Edit Elastic Modulus: Tension (GPa) O COXO + Metal 00 OOOXO + Polymer OO DODO + Ceramic + Composte • 0200 + Advanced Max 950 950 • 000 Low High
A cubic block of side lengths h and mass density p rests on a horizontal flat rigid plate, as shown. Assuming that the cube is isotropic and linearly elastic, whose material properties are characterized by the Young's modulus (E) and Poisson's ratio (v), determined the strain distribution in the cube due to the gravity field. For what value(s) of the Poisson's ration the cube will not change its lateral dimensions? gravity
A cubic block of side lengths h and mass...
The assembly shown below is made of aluminum, which has an elastic modulus of 70 GPa. There are two members with cross-sectional areas of A1 125 mm2 and A2 75 mm2 a) Draw and label the axial force diagram for the system with the sign convention discussed in class b) Calculate the axial deformation of Members (1) and (2) in mm and state whether they are elongating or shortening. c) Evaluate the movement at point A, vA (in mm). Be...
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type, its mean value and standard deviation are 80 GPa and 2.4 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) (a) Calculate P(79 < X < 81) when n = 9. (b) How likely is it that the sample mean diameter exceeds 81 when n = 25? You may need to use the appropriate...
for 60,000 the 1D bar shown with an elastic modulus of 200 GPa, cross-sectional area of 12.5x10 m2, and length of 1.5 m. determine the following e(x) dx d. σ(x) o (x) dx a) Theoretical axial displacement equation based on ö(x) dx E F(x) dx EA |zE
A solid with a high elastic modulus has: (a) a crystalline structure (b) stiff interatomic bonds (c) strong interatomic bonds and closely spaced atoms (d) A positive slope of the interatomic force vs atomic separation curve The melting point of ice is 273 K, quartz is 1873 K and diamond is 4200 K. Which one has the higher modulus? (а) ісe (b) quartz (c) diamond (d) you cannot decide based on the information given
A solid with a high elastic...
Consider both the energy that
can be stored in each sample and each sample’s Young’s modulus at
the point where it has been stretched by 20%. Which of the
following statements is most accurate? A.At a strain of 20%, more
energy is stored in the artery than the tendon, and the artery has
a higher elastic modulus at this point.B.At a strain of 20%, more
energy is stored in the tendon than the artery, but the artery has
a higher...
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively (values given in the article "Influence of Material Properties Variability on Springback and Thinning in Sheet Stamping Processes: A Stochastic Analysis (Int. J. of Advanced Manuf. Tech, 2010: 117-134)). (a) If X is the sample mean Young's modulus for a random sample of n 16...
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