Connect 1-semester Access Card For Shigley's Mechanical Engineering Design
Connect 1-semester Access Card For Shigley's Mechanical Engineering Design
10th Edition
ISBN: 9780077591632
Author: Richard G Budynas; Keith J Nisbett
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 6, Problem 1P

A 10-mm steel drill rod was heat-treated and ground. The measured hardness was found to be 300 Brinell. Estimate the endurance strength in MPa if the rod is used in rotating bending.

Expert Solution & Answer
Check Mark
To determine

The endurance strength.

Answer to Problem 1P

The endurance strength is 433MPa.

Explanation of Solution

Write the expression for the ultimate tensile strength of the steel.

Sut=3.4HB (I)

Here, the ultimate tensile strength is Sut and Brinell Hardness is HB.

Write the expression for the endurance limit of the steel.

Se=0.5Sut (II)

Here, the endurance limit is Se.

Write the expression for the surface factor ka.

ka=aSutb (III)

Here, the surface factor is ka and the ground surface finish factor constants are a and b.

Write the expression for the size factor.

kb=1.24d0.107 (IV)

Here, the size factor is kb and the diameter of the roll is d.

Write the expression for Marin equation.

Se=kakbSe (V)

Here, the endurance strength of the material is Se.

Conclusion:

Refer to Table 6-2 “Parameters for Marin Surfaces Modification Factor”. Obtain the values of factors for ground surface finish as,

a=1.58b=0.085

Substitute 300MPa for HB in Equation (I).

Sut=3.4(300MPa)=1020MPa

Substitute 1020MPa for Sut in Equation (II).

Se=0.5×1020MPa=510MPa

Substitute 1.58 for a, 0.085 for b and 1020MPa for Sut in Equation (III).

ka=1.34(1020MPa)0.085=0.877

Substitute 10mm for d in Equation (IV).

kb=1.24(10mm)0.107=0.969

Substitute 0.877 for ka, 0.969 for kb and 510MPa for Se in Equation (V).

Se=0.877×0.969×510MPa=0.849813×510MPa=433.404MPa433MPa

The endurance strength is 433MPa.

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Chapter 6 Solutions

Connect 1-semester Access Card For Shigley's Mechanical Engineering Design

Ch. 6 - Two steels are being considered for manufacture of...Ch. 6 - A 1-in-diamctcr solid round bar has a groove...Ch. 6 - A solid square rod is cantilevered at one end. The...Ch. 6 - A rectangular bar is cut from an AISI 1020...Ch. 6 - A solid round bar with diameter of 2 in has a...Ch. 6 - The rotating shaft shown in the figure is machined...Ch. 6 - The shaft shown in the figure is machined from...Ch. 6 - Solve Prob. 6-17 except with forces F1 = 1200 lbf...Ch. 6 - Bearing reactions R1 and R2 are exerted on the...Ch. 6 - A bar of steel has the minimum properties Se = 40...Ch. 6 - Repeat Prob. 6-20 but with a steady torsional...Ch. 6 - Repeat Prob. 6-20 but with a steady torsional...Ch. 6 - Repeat Prob. 6-20 but with an alternating...Ch. 6 - A bar of steel has the minimum properties Se = 40...Ch. 6 - The cold-drawn AISI KUO steel bar shown in the...Ch. 6 - Repeat Prob. 6-25 for a load that fluctuates from...Ch. 6 - An M14 2 hex-head bolt with a nut is used to...Ch. 6 - The figure shows a formed round-wire cantilever...Ch. 6 - The figure is a drawing of a 4- by 20-mm latching...Ch. 6 - The figure shows the free-body diagram of a...Ch. 6 - Solve Prob. 6-30 except let w1 = 2.5 in. w2 = l.5...Ch. 6 - For the part in Prob. 630, recommend a fillet...Ch. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - A part is loaded with a combination of bending,...Ch. 6 - Repeat the requirements of Prob. 6-35 with the...Ch. 6 - 6-37 to 6-46For the problem specified in the build...Ch. 6 - 6-37 to 6-46For the problem specified in the build...Ch. 6 - 637 to 646 For the problem specified in the table,...Ch. 6 - For the problem specified in the table, build upon...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - Problem Number Original Problem, Page Number 637...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-47 to 6-50 For the problem specified in the...Ch. 6 - 6-47 to 6-50 For the problem specified in the...Ch. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - Solve Prob. 6-17 except include a steady torque of...Ch. 6 - Solve Prob. 618 except include a steady torque of...Ch. 6 - In the figure shown, shaft A, made of AISI 1020...Ch. 6 - A schematic of a clutch-testing machine is shown....Ch. 6 - For the clutch of Prob. 657, the external load P...Ch. 6 - A flat leaf spring has fluctuating stress of max =...Ch. 6 - A rotating-beam specimen with an endurance limit...Ch. 6 - A machine part will be cycled at 350 MPa for 5...Ch. 6 - The material properties of a machine part are Sut...Ch. 6 - Repeat Prob. 662 using the Goodman criterion....
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