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 2, Problem 21P
2-21 to 2-23 A 1-in-diameter rod. 3 ft long, of unknown material is found in a machine shop. A variety of inexpensive nondestructive tests are readily available to help determine the material, as described below:
- (a) Visual inspection.
- (b) Scratch test: Scratch the surface with a file; observe color of underlying material and depth of scratch.
- (c) Check if it is attracted to a magnet.
- (d) Measure weight (±0.05 Ibf).
- (e) Inexpensive bending deflection test: Clamp one end in a vise, leaving 24 in cantilevered. Apply a force of 100 Ibf (±1 lbf). Measure deflection of the free end (within ± 1/32 in).
- (f) Brinell hardness test.
Choose which tests you would actually perform, and in what sequence, to minimize time and cost, but to determine the material with a reasonable level of confidence. The table below provides results that would be available to you if you choose to perform a given lest. Explain your process, and include any calculations. You may assume the material is one listed in Table A-5. If it is carbon steel, try to determine an approximate specification from Table A-20.
| Test | Results if test were made | ||
| Prob. 2-21 | Prob. 2-22 | Prob. 2-23 | |
| (a) | Dark gray, rough surface finish, moderate scale | Silvery gray, smooth surface finish, slightly tarnished | Reddish-brown, tarnished, smooth surface finish |
| (b) | Metallic gray, moderate scratch | Silvery gray, deep scratch | Shiny brassy color, deep scratch |
| (c) | Magnetic | Not magnetic | Not magnetic |
| (d) | W = 7.95 Ibf | W = 2.90 Ibf | W = 9.00 Ibf |
| (e) | δ = 5/16 in | δ = 7/8 in | δ = 17/32 in |
| (f) | HB = 200 | HB = 95 | HB = 70 |
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1.1 m
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40-mm diameter
Aluminum
PROBLEM 2.52
-
A rod consisting of two cylindrical portions AB and BC is restrained at both
ends. Portion AB is made of brass (E₁ = 105 GPa, α = 20.9×10°/°C) and
portion BC is made of aluminum (Ę₁ =72 GPa, α = 23.9×10/°C).
Knowing that the rod is initially unstressed, determine (a) the normal
stresses induced in portions AB and BC by a temperature rise of 42°C, (b)
the corresponding deflection of point B.
30 mm
D
=
40 MPa
-30 mm
B
C
80 MPa
PROBLEM 2.69
A 30-mm square was scribed on the side of a large steel pressure
vessel. After pressurization, the biaxial stress condition at the square
is as shown. For E = 200 GPa and v=0.30, determine the change in
length of (a) side AB, (b) side BC, (c) diagnonal AC.
Please solve in detail this problem
thank you
Chapter 2 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 2 - Determine the tensile and yield strengths for the...Ch. 2 - Assume you were specifying an AISI 1060 steel for...Ch. 2 - Determine the yield strength-to-density ratios...Ch. 2 - Determine the stiffness-to-weight density ratios...Ch. 2 - Poissons ratio v is a material property and is the...Ch. 2 - A part made from annealed AISI 1018 steel...Ch. 2 - Prob. 10PCh. 2 - Repeat Prob. 2-9 for a part made from 2024-T4...Ch. 2 - A steel member has a Brinell of HB = 215. Estimate...Ch. 2 - A gray cast iron part has a Brinell hardness...
Ch. 2 - Prob. 14PCh. 2 - Brinell hardness tests were made on a random...Ch. 2 - Prob. 16PCh. 2 - Prob. 18PCh. 2 - Repeat Prob. 2-18 for the commonly used alloy...Ch. 2 - 2-21 to 2-23 A 1-in-diameter rod. 3 ft long, of...Ch. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Consider a rod transmitting a tensile force. The...Ch. 2 - Repeat Prob. 2-26, except that the design...Ch. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - For an axially loaded rod. prove that = 1 for the...Ch. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34P
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