A shaft carrying a V-belt pulley and a gear is shown in the 150 attached image. Pulley A with a diameter of d mm receives power from a motor through a belt with the tensions shown. Belt tension T₁ 150 N and tension T2 = 600 N. Power is transmitted through the shaft and delivered to gear B, which drives an additional gear (not shown) at a pressure angle of 20 deg relative to the z axis. The gear at B has a pitch diameter of d = 200 mm. The rotating shaft is simply-supported by frictionless bearings at points O and C. The shaft has a nominal diameter of 25 mm, and all dimensions are in units of millimeters. = = (a) Determine the value of the force W that acts on gear B. (b) Find the magnitudes of the bearing reaction forces. (c) Draw shear force and bending moment diagrams for both the horizontal and vertical planes. (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.

A shaft carrying a V-belt pulley and a gear is shown in the 150 attached image. Pulley A with a diameter of d mm receives power from a motor through a belt with the tensions shown. Belt tension T₁ 150 N and tension T2 = 600 N. Power is transmitted through the shaft and delivered to gear B, which drives an additional gear (not shown) at a pressure angle of 20 deg relative to the z axis. The gear at B has a pitch diameter of d = 200 mm. The rotating shaft is simply-supported by frictionless bearings at points O and C. The shaft has a nominal diameter of 25 mm, and all dimensions are in units of millimeters. = = (a) Determine the value of the force W that acts on gear B. (b) Find the magnitudes of the bearing reaction forces. (c) Draw shear force and bending moment diagrams for both the horizontal and vertical planes. (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.

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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The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

A shaft carrying a V-belt pulley and a gear is shown in the
attached image. Pulley A with a diameter of d = 150
mm receives power from a motor through a belt with the
tensions shown. Belt tension T₁ = 150 N and tension
T2 = 600 N. Power is transmitted through the shaft and
delivered to gear B, which drives an additional gear (not
shown) at a pressure angle of 20 deg relative to the z
axis. The gear at B has a pitch diameter of dB = 200
mm. The rotating shaft is simply-supported by
frictionless bearings at points O and C. The shaft has a
nominal diameter of 25 mm, and all dimensions are in
units of millimeters.
(a) Determine the value of the force W that acts on gear
B.
(b) Find the magnitudes of the bearing reaction forces.
(c) Draw shear force and bending moment diagrams for
both the horizontal and vertical planes.
(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.

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