Foundations of Materials Science and Engineering
Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 5.7, Problem 1KCP
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What is a thermally activated process and what is the activation energy for such a process.

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Thermally activated process refer to the process that keep on processing not due to average effects, but since the section of particles available in the tail of the dispersal increases with temperature. The process needed a specified quantity of thermal energy, to overcome the barrier of activation energy, and enter into the reactive state.

The rate of activation energy required for such kind of processes increases exponentially with temperature. An increase in temperature will give the energy required for the reaction to take place.

An Arrhenius plot is used to derive a value or rate of the activation energy for a thermally activated process by taking data of rate and finding the slope of the plot.

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Determine the shear flow qqq for the given profile when the shear forces acting at the torsional center are Qy=30Q_y = 30Qy​=30 kN and Qz=20Q_z = 20Qz​=20 kN. Also, calculate qmax⁡q_{\max}qmax​ and τmax⁡\tau_{\max}τmax​. Given:Iy=10.5×106I_y = 10.5 \times 10^6Iy​=10.5×106 mm4^44,Iz=20.8×106I_z = 20.8 \times 10^6Iz​=20.8×106 mm4^44,Iyz=6×106I_{yz} = 6 \times 10^6Iyz​=6×106 mm4^44. Additional parameters:αy=0.5714\alpha_y = 0.5714αy​=0.5714,αz=0.2885\alpha_z = 0.2885αz​=0.2885,γ=1.1974\gamma = 1.1974γ=1.1974. (Check hint: τmax⁡\tau_{\max}τmax​ should be approximately 30 MPa.)
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Foundations of Materials Science and Engineering

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