A continuous countershaft carrying two belt pulleys is shown in the figure. Pulley A receives power from a motorthrough a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belton pulley B. Solve in SI.1. Find the preliminary diameter of the shaft from static considerations (Method 1) if the shaft material is steelwith Sy = 405-MPa and SF = 5. Bending moment and torque diagrams are provided in N, mm.2. Calculate the critical rotation speed of the shaft if pulley A weighs 100-N and Pulley B weighs 150-N and theweight of the shaft is included in the calculation. The shaft steel density is 7861-kg/m3 and the Elasticitymodulus is 200000-MPa. The shaft deflections at locations A (by pulley A acting alone) and B (by pulley B actingalone) are given below:8,= 0.02676 mm8, = 0.01625 mm400300250 dia.-- 300 dia.37.5 NDimensions in millimeters.250 N

In horizontal Plane: Now TorqueA= (500-75) × 82 = 1700 lb.in TA= TB (Power is…

Answered: neter of the shaft from stat = 5.…

neter of the shaft from stat = 5. Bending moment and tion speed of the shaft if ed in the calculation. The he shaft deflections at loca

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.17P: A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and...

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Concept explainers

Slope and Deflection

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 continuous countershaft carrying two belt pulleys is shown in the figure. Pulley A receives power from a motor
through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt
on pulley B. Solve in SI.
1. Find the preliminary diameter of the shaft from static considerations (Method 1) if the shaft material is steel
with Sy = 405-MPa and SF = 5. Bending moment and torque diagrams are provided in N, mm.
2. Calculate the critical rotation speed of the shaft if pulley A weighs 100-N and Pulley B weighs 150-N and the
weight of the shaft is included in the calculation. The shaft steel density is 7861-kg/m3 and the Elasticity
modulus is 200000-MPa. The shaft deflections at locations A (by pulley A acting alone) and B (by pulley B acting
alone) are given below:
8,= 0.02676 mm
8, = 0.01625 mm
400
300
250 dia.-
- 300 dia.
37.5 N
Dimensions in millimeters.
250 N

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