Fluid Mechanics: Fundamentals and Applications
Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 15, Problem 17P
To determine

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A coarse hybrid grid in the region given and advantages.

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De Moivre’s Theorem
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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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