Mechanical Engineering - Design of Rotating Steel Shafts - Assessment Answer
Solution Code: 1AHAG
Question:Mechanical Engineering
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Mechanical Engineering Assignment
Assignment Task
Question A Figure Q2-A shows two gears A and C attached to a shaft supported by bearing and B and D. Forces acted on gear A and C are 180 N and 200 N respectively. Draw load, shear force, bending moment and shaft torsional moment diagrams for the shaft, in both XY and XZ planes, and then locate the most endangered x-section of the shaft. You need to determine the shaft and size fittings and then the drawing of the shaft.
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Solution:
Force tangential to Gear A = FA * Cos(18) = 180*Cos(18) N = 171.19 N
Force perpendicular to Gear A = FA * Sin(18) = 180*Sin(18) N = 55.623 N
Perpendicular force will create bending, and maximum bending moment will occur close to bearing B
= 55.623*0.016Nm=0.89 Nm
Due to tangential force uniform counter clock wise moment about X axis will be created
= 171.19*0.011 Nm= 1.883 Nm
Due to gear C
Force tangential to Gear C = FC* Cos(18) = 200*Cos(18) N = 190.211 N
Force perpendicular to Gear C = FC * Sin(18) = 200*Sin(18) N = 61.8 N
The reaction at the bearing D = 61.8*26/66=24.35 N
The reaction at the bearing B = 61.8*40/66=37.45 N
Bending moment on shaft near bearing B = 24.35*0.066 -61.8*0.026=0.0003
Due to tangential force uniform counter clock wise moment about X axis will be created
= 190.211*0.024 Nm= 4.565 Nm Clock wise on shaft from gear C to bearing B
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