Computational analysis has determined that a particular design of glass ceramic component has a maximum allowable tensile stress of 16 MPa Your development team has suggested that a specific grade of Wollastonite with a Youngs Modulus of 89 GPa and a specific surface energy of 0.059 J/m2 may be suitable. What would be the maximum allowable size of any internal pores or defects in the glass ceramic component? (This

Computational analysis has determined that a particular design of glass ceramic component has a maximum allowable tensile stress of 16 MPa Your development team has suggested that a specific grade of Wollastonite with a Youngs Modulus of 89 GPa and a specific surface energy of 0.059 J/m2 may be suitable. What would be the maximum allowable size of any internal pores or defects in the glass ceramic component? (This

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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ε = ce { 3. Assume the activation energy for the creep of Al2O3 is 425kJ/mol. (a) Predict the creep rate, &, for Al2O3 at 1000°C and 1800 psi applied stress. (See Table 6.12 for data at 1300°C and 1800psi.) (b) Calculate the lifetime of an furnace tube at 1000°C and 1800 psi if 1% total strain is permissible. (ε = 2.7x10-6/hr for Al2O3 at 1300°C and 1800psi.)
You have received an unknown sample that you need to mechanically analyze. A stress test produces the curve below. (a) Estimate Young's modulus in the linear part of the curve and the resilience of the material. (b) Describe a molecular structure that could explain the mechanical behavior of your sample.
Draw two schematic graphs using pencil showing a typical stress-strain curve for aluminum. The first graph should show engineering stress vs engineering strain, and the second graph should show true stress vs true strain. Label the showing: (i) elastic modulus (ii) proportional limit (iii) yield stress (iv)yield strain (v) fracture stress (vi) fracture strain on each graph. You may showboth graphs on one plot. Explain the difference between engineering stress and true stress.
Consider an iron single crystal with CCC crystal structure oriented in such a way that a tensile stress is applied to the along one direction [010]. a) Calculate the shear stress resolved along a plane (110) and a direction when a tensile stress of 52 MPa is applied. The normal to the slip plane forms 45° with traction direction. the direction of slip forms 55º with the traction direction. b) If the slip occurs in one plane (110) and in one direction and the critical resolved shear stress is 30 MPa, calculate the magnitude of tensile stress that must be applied to initiate the flow.
You are a comparative evolutionary biologist that studies biomechanics. In particular, you are interested in how bone cross sectional shapes have evolved. You have discovered a rare (hypothetical) animal that has bone shapes similar to ours, but has solid, rectangular cross sectional areas. You conduct mechanical testing according to the parameters below and want to determine the: (A) moment of inertia; (B) reaction forces and moments at the fixed end O; (C) the stresses at points A, B, and C designated below, including the contributions of the different types of stresses at each point
You are a comparative evolutionary biologist that studies biomechanics. In particular, you are interested in how bone cross sectional shapes have evolved. You have discovered a rare (hypothetical) animal that has bone shapes similar to ours, but has solid, rectangular cross sectional areas. You conduct mechanical testing according to the parameters below and want to determine the: (A) moment of inertia; (B) reaction forces and moments at the fixed end O; (C) the stresses at points A, B, and C designated below, including the contributions of the different types of stresses at each point
A steel with a grain size of 25 μm has a yield stress of 200 MPa and with a grain size of 9 μm a yield stress of 300 MPa. A dispersion of non-deformable particles is required to raise the strength to 500 MPa in a steel with grain size 100 μm. What would be the required dispersion spacing? (Assume the shear modulus G = 80 GPa, the Burgers vector b = 0.2nm.)Hint : Use the Hall_petch relation given below :σy = σi + kd-½where σy is the yield strength, σi is the lattice friction stress, k is constant and d is the average grain size.
Estimate the critical stress of the surface flaw in a ceramic whose Young's modulus and surface energy are 70 GPa and 0.24 erg/m2, respectively. Assume the propagation of a surface crack of length 0.03 mm.
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