The above left drawing shows a countershaft with helical gear B, bevel gear D, and two supporting bearing A and C. Loads acting on the bevel gear are shown. Force on the helical gear can be determined...


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The above left drawing shows a countershaft with helical gear B, bevel gear D, and two supporting<br>bearing A and C. Loads acting on the bevel gear are shown. Force on the helical gear can be determined<br>from equilibrium of moments about the shaft axis plus the given proportions of helical gear force<br>components. Shaft dimensions are given in the above right drawing. All shoulders fillets (at points where<br>diameter changes) have a radius of 5 mm. note that the shaft is designed so that only bearing A takes<br>thrust. The shaft is made of hardened steel, Su=1069 MPa, Sy=896MPA. All important surfaces are<br>finished by grinding. (Note: stress concentration)<br>В<br>Forces act at 500-mm dia.<br>D<br>F = 1.37 kN<br>A<br>В<br>550<br>F, = 5.33 kN<br>- 400<br>F; = 0.3675F,<br>F, = 0.2625F,<br>400<br>450<br>F = 1.37 kN<br>(1)<br>Forces act at 375-mm dia.<br>120 dia.<br>E<br>Кeyway<br>80 dia.<br>

Extracted text: The above left drawing shows a countershaft with helical gear B, bevel gear D, and two supporting bearing A and C. Loads acting on the bevel gear are shown. Force on the helical gear can be determined from equilibrium of moments about the shaft axis plus the given proportions of helical gear force components. Shaft dimensions are given in the above right drawing. All shoulders fillets (at points where diameter changes) have a radius of 5 mm. note that the shaft is designed so that only bearing A takes thrust. The shaft is made of hardened steel, Su=1069 MPa, Sy=896MPA. All important surfaces are finished by grinding. (Note: stress concentration) В Forces act at 500-mm dia. D F = 1.37 kN A В 550 F, = 5.33 kN - 400 F; = 0.3675F, F, = 0.2625F, 400 450 F = 1.37 kN (1) Forces act at 375-mm dia. 120 dia. E Кeyway 80 dia.
Through load analysis, force and moment diagram are obtained, as shown below. Diagram below shows<br>the intensity of the of axial force and torque alone the length of the shaft. (forces are in kN)<br>(a) At point B, C, and E calculate the equivalent stresses in preparation for determining the fatigue<br>safety factor.<br>(b) For a reliability of 99%, estimate the safety factor of the shaft at points B, C, and E.<br>

Extracted text: Through load analysis, force and moment diagram are obtained, as shown below. Diagram below shows the intensity of the of axial force and torque alone the length of the shaft. (forces are in kN) (a) At point B, C, and E calculate the equivalent stresses in preparation for determining the fatigue safety factor. (b) For a reliability of 99%, estimate the safety factor of the shaft at points B, C, and E.

Jun 11, 2022
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