A gear reduction unit uses the countershaft shown in the figure. Gear A receives power. to from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force FB at the pressure angle shown. (a) Determine the force FB, assuming the shaft is running at a constant speed. (b) Find the bearing reaction forces, assuming the bearings act as simple supports. (c) Draw shear-force and bending-moment diagrams for the shaft. If needed, make one set for the horizontal plane and another set for the vertical plane. (d) At the point of maximum bending moment, determine the bending stress and the torsional shear stress. (e) At the point of maximum bending moment, determine the principal stresses and the maximum shear stress. 406.400 mm 31.750 mm dia. Gear A 508.000-mm dia. FA= = 1334.466 N 20° 355.600 mm FB 228.600 mm 20° Gear B 203.200-mm dia.
A gear reduction unit uses the countershaft shown in the figure. Gear A receives power. to from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force FB at the pressure angle shown. (a) Determine the force FB, assuming the shaft is running at a constant speed. (b) Find the bearing reaction forces, assuming the bearings act as simple supports. (c) Draw shear-force and bending-moment diagrams for the shaft. If needed, make one set for the horizontal plane and another set for the vertical plane. (d) At the point of maximum bending moment, determine the bending stress and the torsional shear stress. (e) At the point of maximum bending moment, determine the principal stresses and the maximum shear stress. 406.400 mm 31.750 mm dia. Gear A 508.000-mm dia. FA= = 1334.466 N 20° 355.600 mm FB 228.600 mm 20° Gear B 203.200-mm dia.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
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