# Mechanics of Materials (3rd Edition) View more editions 97% (35 ratings) for Chapter 6.2Solutions for Chapter 6.2

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Chapter: Problem:

A steel band-saw blade with rectangular cross section passes over a pulley of radius r=600 mm, as shown in Fig. P6.2-1. Neglect the teeth of the saw blade, and assume that the neutral surface passes through the center of the saw blade’s cross section. Determine the maximum strain, ∈max, in the saw blade

(a) if the thickness of the blade is h =1.25 mm, and

(b) if the thickness of the blade is h = 2.0 mm.

Figure:P6.2-1

Sample Solution
Chapter: Problem:
• Step 1 of 5

Draw the schematic figure of the steel band saw.

• Step 2 of 5

a)

Calculate the maximum strain at.

…… (1)

Here, y is the distance from the neutral axis to a point on the cross section of the material and ρ is radius of curvature.

Calculate the distance y from the neutral axis to a point on the cross section of the material.

Here, h is the thickness of the blade.

Substitute for .

• Step 3 of 5

Here, r is the radius of the pulley.

Substitute for and for .

Substitute for and for in equation (1).

Therefore, the maximum extensional strain is .

• Anonymous
why did equation leave off negative sign
• Step 4 of 5

b)

Calculate the maximum strain at.

…… (1)

Here, y is the distance from the neutral axis to a point on the cross section of the material and ρ is radius of curvature.

Calculate the distance y from the neutral axis to a point on the cross section of the material.

Here, h is the thickness of the blade.

Substitute for .

• Step 5 of 5

Here, r is the radius of the pulley.

Substitute for and for .

Substitute for and for in equation (1).

Therefore, the maximum extensional strain is .

Corresponding Textbook

Mechanics of Materials | 3rd Edition
9781118136331ISBN-13: 1118136330ISBN: Authors:
This is an alternate ISBN. View the primary ISBN for: Mechanics of Materials 3rd Edition Textbook Solutions
The text passage contains a mechanics of materials problem that involves calculating the maximum strain in a steel band-saw blade for two different thicknesses. It provides the problem statement, a figure reference, and a step-by-step solution for both parts (a) and (b).
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Mechanics of Materials (3rd Edition) View more editions 97% (35 ratings) for Chapter 6.2Solutions for Chapter 6.2

• 1302 step-by-step solutions
• Solved by professors & experts
• iOS, Android, & web
Chapter: Problem:

A steel band-saw blade with rectangular cross section passes over a pulley of radius r=600 mm, as shown in Fig. P6.2-1. Neglect the teeth of the saw blade, and assume that the neutral surface passes through the center of the saw blade’s cross section. Determine the maximum strain, ∈max, in the saw blade

(a) if the thickness of the blade is h =1.25 mm, and

(b) if the thickness of the blade is h = 2.0 mm.

Figure:P6.2-1

Sample Solution
Chapter: Problem:
• Step 1 of 5

Draw the schematic figure of the steel band saw.

• Step 2 of 5

a)

Calculate the maximum strain at.

…… (1)

Here, y is the distance from the neutral axis to a point on the cross section of the material and ρ is radius of curvature.

Calculate the distance y from the neutral axis to a point on the cross section of the material.

Here, h is the thickness of the blade.

Substitute for .

• Step 3 of 5

Here, r is the radius of the pulley.

Substitute for and for .

Substitute for and for in equation (1).

Therefore, the maximum extensional strain is .

• Anonymous
why did equation leave off negative sign
• Step 4 of 5

b)

Calculate the maximum strain at.

…… (1)

Here, y is the distance from the neutral axis to a point on the cross section of the material and ρ is radius of curvature.

Calculate the distance y from the neutral axis to a point on the cross section of the material.

Here, h is the thickness of the blade.

Substitute for .

• Step 5 of 5

Here, r is the radius of the pulley.

Substitute for and for .

Substitute for and for in equation (1).

Therefore, the maximum extensional strain is .

Corresponding Textbook

Mechanics of Materials | 3rd Edition
9781118136331ISBN-13: 1118136330ISBN: Authors:
This is an alternate ISBN. View the primary ISBN for: Mechanics of Materials 3rd Edition Textbook Solutions
user
The text passage contains a mechanics of materials problem that involves calculating the maximum strain in a steel band-saw blade for two different thicknesses. It provides the problem statement, a figure reference, and a step-by-step solution for both parts (a) and (b).

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS