Question

In: Mechanical Engineering

An isotropic sample of a material is subjected to a compressive stress of 230 MPa in...

An isotropic sample of a material is subjected to a compressive stress of 230 MPa in the x direction. However, it is confined so that the sample cannot deform in the y and z directions. Data: Young’s modulus of the block E = 46 GPa Poisson ratio υ = ⅓ Height = 0.5 m Width = 0.5 m Length = 0.5 m Calculate these stresses in the y- and z-directions (in MPa to 2 decimal places) Calculate the strain in the x direction. (% to 2 decimal places) DO NOT INCLUDE UNITS.

X-direction Strain (%)

Y-direction (MPa)

Z-direction (MPa)

Solutions

Expert Solution

Strain in x direction = -0. 3333%

Stress in Y and Z direction are same and equal to 115 MPa. And compressive in nature.

samet mamat answered 11 months ago
Next > < Previous

Related Solutions

or a sample group of 25 men subjected to a stress situation, the meannumber of heartbeats...
or a sample group of 25 men subjected to a stress situation, the meannumber of heartbeats per minute was 76, and the standard deviation was 6. Find the95% confidence interval of the true mean.Write a conclusion for the confidence interval.Round to 3 decimal places.
A cylinder(σY= 230 MPa)which is initially free from residual stress has internal radius b = 20...
A cylinder(σY= 230 MPa)which is initially free from residual stress has internal radius b = 20 mm and external radiusa= 50 mm. Determine: a)The maximum internal pressure without yielding the cylinder. Give your answer in MPa.[5 marks] b)The fully plastic internal pressure. Give your answer in MPa.[5 marks]c)The radius to which the material yields, when the pressure is 150 MPa. Give your answer in mm.[10 marks] c)The cylinder is loaded by internal pressure, pi, which, when released, causes residual stress...
Answer following questions: a) Explain the difference between an isotropic material and an anisotropic material. Give...
Answer following questions: a) Explain the difference between an isotropic material and an anisotropic material. Give one example of abiological material other than bone that is anisotropic and explain how it is anisotropic. b) It is well documented that humans are typically taller first thing in the morning, but get progressively shorter (by very small amounts) as the day goes on. Based on what you know about the viscoelastic properties of human body tissues, can you explain this phenomenon? c)...
A rectangular beam 230 mm wide is subjected to the following at a section Ultimate bending...
A rectangular beam 230 mm wide is subjected to the following at a section Ultimate bending moment of 135 kn.m Ultimate shear force of 90 kn Use M25 grade of concrete and Fe 415 steel Design a suitable section and find the (flexural & shear) reinforcement required in the section.
A short reinforced concrete column is subjected to a 1000 kN axial compressive load. The moduli...
A short reinforced concrete column is subjected to a 1000 kN axial compressive load. The moduli of elasticity of plain concrete and steel are 25 GPa and 207 GPa, respectively, and the cross-sectional area of steel is 2% of that of the reinforced concrete. Considering the column as a structural member made of a composite material and subjected to load parallel to the steel rebars, calculate the following: a. the modulus of elasticity of the reinforced concrete b. the load...
A short reinforced concrete column is subjected to a 1000 kN axial compressive load. The moduli...
A short reinforced concrete column is subjected to a 1000 kN axial compressive load. The moduli of elasticity of plain concrete and steel are 25 GPa and 207 GPa, respectively, and the cross-sectional area of steel is 2% of that of the reinforced concrete. Considering the column as a structural member made of a composite material and subjected to load parallel to the steel rebars, calculate the following: a. the modulus of elasticity of the reinforced concrete b. the load...
A squared cross- sectional bar of 3cm by 3cm is under a compressive stress of 300...
A squared cross- sectional bar of 3cm by 3cm is under a compressive stress of 300 MPa. The bar deforms elastically, what is the area of the cross section after deformation. Provide your answer in milimeters squared. (Do not type in the unit in your answer.) (E=30GPa, v=0.4)
Consider a single crystal of a cubic metal that is subjected to a tensile stress along...
Consider a single crystal of a cubic metal that is subjected to a tensile stress along the [0 1 2 ] direction. Calculate the Schmidt factor for the following slip systems. In each case sketch the tensile axis as well as the slip plane and slip direction. a) (0 -1 1) [0 1 1] b) (1 0 1) [-1 -1 1] c) (0 1 0) [ -1 0 1 ] d) If the crystal above is subjected to an increasing...
Write down the equilibrium equations for a three-dimensional isotropic material in terms of displacements. Assume that...
Write down the equilibrium equations for a three-dimensional isotropic material in terms of displacements. Assume that the material modulus of elasticity, Poisson ratio and density are, and that the body forces are due to material weigh and the constant gravitational accelerations applied in the z-direction.
For a bronze alloy, the stress at which plastic deformation begins is 300 MPa and the...
For a bronze alloy, the stress at which plastic deformation begins is 300 MPa and the modulus of elasticity is 115 GPa. What is the maximum load (in kN) that may be applied to a specimen having a cross-sectional area of 70 mm2 without plastic deformation? And if the original specimen length is 100 mm, what is the maximum length (in mm) to which it may be stretched without causing plastic deformation?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT