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
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
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 |
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
2. Express the following complex numbers in rectangular form.
(a) z₁ = 2еjл/6
(b) Z2=-3e-jπ/4
(c) Z3 =
√√√3e-j³/4
(d) z4 = − j³
A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be
fixed supports. The beam was originally designed to withstand a triangular distributed load, however,
the loading condition has been revised and can be approximated by a cosine function as shown in the
figure below. You have been tasked with analysing the structure. As the beam is prismatic, you can
assume that the bending rigidity (El) is constant.
wwo cos
2L
x
A
B
Figure 3: Built in beam with a varying distributed load
In order to do this, you will:
a. Solve the reaction forces and moments at point A and B.
Hint: you may find it convenient to use the principal of superposition.
(2%)
b. Plot the shear force and bending moment diagrams and identify the maximum shear force
and bending moment.
(2%)
c. Develop an expression for the vertical deflection. Clearly state your expression in terms of x.
(1%)
Question 1: Beam Analysis
Two beams (ABC and CD) are connected using a pin immediately to the left of Point C. The pin acts
as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces
can be transferred through the pinned connection. Beam ABC has a pinned support at point A and a
roller support at Point C. Beam CD has a roller support at Point D. A concentrated load, P, is applied
to the mid span of beam CD, and acts at an angle as shown below. Two concentrated moments, MB
and Mc act in the directions shown at Point B and Point C respectively. The magnitude of these
moments is PL.
Moment Release
A
B
с
°
MB = PL
Mc=
= PL
-L/2-
-L/2-
→
P
D
Figure 1: Two beam arrangement for question 1.
To analyse this structure, you will:
a) Construct the free body diagrams for the structure shown above. When constructing your
FBD's you must make section cuts at point B and C. You can represent the structure as three
separate beams. Following this, construct the…
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A cantilevered rectangular prismatic beam has three loads applied. 10,000N in the positive x direction, 500N in the positive z direction and 750 in the negative y direction. You have been tasked with analysing the stresses at three points on the beam, a, b and c. 32mm 60mm 24mm 180mm 15mm 15mm 40mm 750N 16mm 500N x 10,000N Figure 2: Idealisation of the structure and the applied loading (right). Photograph of the new product (left). Picture sourced from amazon.com.au. To assess the design, you will: a) Determine state of stress at all points (a, b and c). These points are located on the exterior surface of the beam. Point a is located along the centreline of the beam, point b is 15mm from the centreline and point c is located on the edge of the beam. When calculating the stresses you must consider the stresses due to bending and transverse shear. Present your results in a table and ensure that your sign convention is clearly shown (and applied consistently!) (3%) b) You have identified…arrow_forward7.82 Water flows from the reservoir on the left to the reservoir on the right at a rate of 16 cfs. The formula for the head losses in the pipes is h₁ = 0.02(L/D)(V²/2g). What elevation in the left reservoir is required to produce this flow? Also carefully sketch the HGL and the EGL for the system. Note: Assume the head-loss formula can be used for the smaller pipe as well as for the larger pipe. Assume α = 1.0 at all locations. Elevation = ? 200 ft 300 ft D₁ = 1.128 ft D2=1.596 ft 12 2012 Problem 7.82 Elevation = 110 ftarrow_forwardHomework#5arrow_forwardA closed-cycle gas turbine unit operating with maximum and minimum temperature of 760oC and 20oC has a pressure ratio of 7/1. Calculate the ideal cycle efficiency and the work ratioarrow_forwardConsider a steam power plant that operates on a simple, ideal Rankine cycle and has a net power output of 45 MW. Steam enters the turbine at 7 MPa and 500°C and is cooled in the condenser at a pressure of 10 kPa by running cooling water from a lake through the tubes of the condenser at a rate of 2000 kg/s. Show the cycle on a T-s diagram with respect to saturation lines, and determine The thermal efficiency of the cycle,The mass flow rate of the steam and the temperature rise of the cooling waterarrow_forwardTwo reversible heat engines operate in series between a source at 600°C, and a sink at 30°C. If the engines have equal efficiencies and the first rejects 400 kJ to the second, calculate: the temperature at which heat is supplied to the second engine, The heat taken from the source; and The work done by each engine. Assume each engine operates on the Carnot cyclearrow_forwardA steam turbine operates at steady state with inlet conditions of P1 = 5 bar, T1 = 320°C. Steam leaves the turbine at a pressure of 1 bar. There is no significant heat transfer between the turbine and its surroundings, and kinetic and potential energy changes between inlet and exit are negligible. If the isentropic turbine efficiency is 75%, determine the work developed per unit mass of steam flowing through the turbine, in kJ/kgarrow_forwardYou are asked to design a unit to condense ammonia. The required condensation rate is 0.09kg/s. Saturated ammonia at 30 o C is passed over a vertical plate (10 cm high and 25 cm wide).The properties of ammonia at the saturation temperature of 30°C are hfg = 1144 ́10^3 J/kg andrv = 9.055 kg/m 3 . Use the properties of liquid ammonia at the film temperature of 20°C (Ts =10 o C):Pr = 1.463 rho_l= 610.2 kf/m^3 liquid viscosity= 1.519*10^-4 kg/ ms kinematic viscosity= 2.489*10^-7 m^2/s Cpl= 4745 J/kg C kl=0.4927 W/m Ca)Calculate the surface temperature required to achieve the desired condensation rate of 0.09 kg/s( should be 688 degrees C) b) Show that if you use a bigger vertical plate (2.5 m-wide and 0.8 m-height), the requiredsurface temperature would be now 20 o C. You may use all the properties given as an initialguess. No need to iterate to correct for Tf. c) What if you still want to use small plates because of the space constrains? One way to getaround this problem is to use small…arrow_forwardUsing the three moment theorem, how was A2 determined?arrow_forwardDraw the kinematic diagram of the following mechanismarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
Welding: Principles and Applications (MindTap Cou...Mechanical EngineeringISBN:9781305494695Author:Larry JeffusPublisher:Cengage Learning
Welding: Principles and Applications (MindTap Cou...Mechanical EngineeringISBN:9781305494695Author:Larry JeffusPublisher:Cengage Learning
Material Properties 101; Author: Real Engineering;https://www.youtube.com/watch?v=BHZALtqAjeM;License: Standard YouTube License, CC-BY