Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
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Chapter 7, Problem 31P
To determine
The ratio of the critical speed for a solid shaft to a hollow shaft.
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. Determine the angle of twist for the steel (AISI 4340, OQT 1200 F) hollow shaft with anoutside diameter of 40 mm and an inside diameter of 30 mm when transmitting 28 kWof power at a speed of 45 rad/sec. The shaft length is 400 mm
Chapter 7 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 7 - A shaft is loaded in bending and torsion such that...Ch. 7 - The section of shaft shown in the figure is to be...Ch. 7 - The rotating solid steel shaft is simply supported...Ch. 7 - A geared industrial roll shown in the figure is...Ch. 7 - Design a shaft for the situation of the industrial...Ch. 7 - The figure shows a proposed design for the...Ch. 7 - For the problem specified in the table, build upon...Ch. 7 - Prob. 8PCh. 7 - For the problem specified in the table, build upon...Ch. 7 - For the problem specified in the table, build upon...
Ch. 7 - In the figure is a proposed shaft design to be...Ch. 7 - The shaft shown in the figure is proposed for the...Ch. 7 - Prob. 20PCh. 7 - The shaft shown in the figure is proposed for the...Ch. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - A 25-mm-diameter uniform steel shaft is 600 mm...Ch. 7 - Prob. 29PCh. 7 - Compare Eq. (727) for the angular frequency of a...Ch. 7 - Prob. 31PCh. 7 - The steel shaft shown in the figure carries a...Ch. 7 - A transverse drilled and reamed hole can be used...Ch. 7 - Prob. 34PCh. 7 - The shaft shown in Prob. 721 is proposed for the...Ch. 7 - A guide pin is required to align the assembly of a...Ch. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - A ball bearing has been selected with the bore...Ch. 7 - Prob. 41PCh. 7 - A gear and shaft with nominal diameter of 35 mm...
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- Design a hallow shaft (Diameter and length) that develops 80 kW of power while rotating at a speed of 4000 rpm. The design constrains are as under:The angle of twist not to exceed 0.200Shear stress is not to exceed 480 MN/m2The outer diameter is to be twice the inner diameter. The shaft length is to be three times the outer diameter. Modulus of rigidity = 79 GN/m2.arrow_forward200 HP is delivered by a solid circular shaft at 1000 rpm rotational speed. If a hollow shaft is used having an inside diameter equal to the diameter of the solid shaft, determine what must be the outside diameter of this shaft if the angular twist of the hollow and solid shaft is to be equal? The allowable maximum shearing stress is 20,000 psi.arrow_forwardWhat is the minimum diameter of a solid steel shaft that will not twist through more than 4o in a 9 m length when subjected to a torque of 11 kN.m ? if G = 83 GPaarrow_forward
- Which statement below is incorrect about a shaft in torsion? The angle of twist for a solid tube is proportional to the length of the tube proportional to the torque T inversely proportional to the shear modulus G inversely proportional to the square of its radiusarrow_forwardA solid steel shaft, whose Sy= 300 MPa and Su= 400 MPa, is used to transmit 3000 kW at 800 rpm. Determine its diameter.arrow_forwardwhat horsepower can be transmitted by 1/2 in. diameter solid shaft at 1800 rpm if the allowable torsional shearing stress is 6000 psi?arrow_forward
- The outside diameter of a hollow shaft is 1.6 times the inside diameter. When transmitting 420 W of power at 180 rpm, the angle of twist is one degree over a length of 40 times the inside diameter. Taking G for the material as 85 GN/m^2, determine the outside diameter of the hollow shaft in mm.arrow_forwardWhat is the diameter of a solid shaft that will not twist through more than 1.5° in a 200 cm length when subjected to a torque of 120 Nm? Take G = 83000 MPa.arrow_forwardin a solid circular shaft under torsion use the diagram below to draw and explain a) what the angle of twist is? b)what the shear strain is?arrow_forward
- Q2: A solid steel shaft A of 60 mm diameter rotates at 300 rev/min. Find the greatest power that can be transmitted for a limiting shearing stress of 60 MN/m2 in the steel. It is proposed to replace A by a hollow shaft B, of the Same external diameter but with a limiting shearing stress of 75 MN/m2 . Determine the internal diameter of B to transmit the same power at the same speed.arrow_forwardA single solid circular shaft 400 mm diameter running at 250 RPM, is to be replaced by two hollow circular shafts of equal size running at 150 RPM and developing 50% additional power. The internal diameter of hollow shaft may be taken as one third of their external diameters. If the working stress of the new shaft is 30% greater than that of the former, find the external and internal diameter of hollow shafts.arrow_forwardA shaft is made of an alloy steel that has an allowable shear stress of ????? = ?????. If the diameter of the shaft is 1.5in. Determine the maximum torque T that can be transmitted and What would be the maximum torque T' if a 1in diameter hole were drilled through shaft. The figure is in the attached imagearrow_forward
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