text: # 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