Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6, Problem 6.4.12P
Solve the preceding problem using a W 310 x 129 section, L = 1.8 m, P = 9.5 kN, and or x= 60°. See Table F-l(b) of Appendix F For the dimensions and properties of the beam.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Fy = 100 N
Fx = 100 N
Z
a = 500 mm
F₂ = 500 N
b = 1000 mm
Figure 2: Schematics for problem 3.
1. Draw the moment (M), axial (N), and shear (S) diagrams. Please note that this is a 3D problem and you
will have moment (M) and shear (S) along two different axes. That means that you will have a total of 5
diagrams.
I tried solving this one but have no idea where I went wrong can you please help me out with this?
Question 1.
A tube rotates in the horizontal xy plane with a constant angular velocity w about the z-axis. A
particle of mass m is released from a radial distance R when the tube is in the position shown.
This problem is based on problem 3.2 in the text.
y
ω
R
m
2R
Figure 1
X
a) Draw a free body diagram of the particle if the tube is frictionless.
b) Draw a free body diagram of the particle if the coefficient of friction between the sides of the
tube and the particle is μs = flk = fl.
c) For the case where the tube is frictionless, what is the radial speed at which the particle
leaves the tube?
d) For the case where there is friction, derive a differential equation that would allow you to
solve for the radius of the particle as a function of time. I'm only looking for the differential
equation. DO NOT solve it.
e) If there is no friction, what is the angle of the tube when the particle exits?
• Hint: You may need to solve a differential equation for the last part. The "potentially…
Chapter 6 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 6 - A composite beam is constructed using a steel...Ch. 6 - A wood beam is strengthened using two steel plates...Ch. 6 - A composite beam consisting of fiberglass faces...Ch. 6 - A wood beam with cross-sectional dimensions 200 mm...Ch. 6 - A hollow box beam is constructed with webs of...Ch. 6 - A r o lukI f/frm f «m t ub e of ou t sid e d ia...Ch. 6 - A beam with a guided support and 10-ft span...Ch. 6 - A plastic-lined steel pipe has the cross-sectional...Ch. 6 - The cross section of a sand wie h beam consisting...Ch. 6 - The cross section of a sandwich beam consisting of...
Ch. 6 - A bimetallic beam used in a temperature-control...Ch. 6 - A simply supported composite beam 3 m long carries...Ch. 6 - A simply supported wooden I-beam with a 12-ft span...Ch. 6 - -14 A simply supported composite beam with a 3.6 m...Ch. 6 - -15 A composite beam is constructed froma wood...Ch. 6 - A wood beam in a historic theater is reinforced...Ch. 6 - Repeat Problem 6.2-1 but now assume that the steel...Ch. 6 - Repeat Problem 6.2-17 but now use a...Ch. 6 - A sandwich beam having steel faces enclosing a...Ch. 6 - A wood beam 8 in. wide and 12 in. deep (nominal...Ch. 6 - A simple beam of span length 3.2 m carries a...Ch. 6 - A simple beam that is 18 ft long supports a...Ch. 6 - The composite beam shown in the figure is simply...Ch. 6 - The cross section of a beam made of thin strips of...Ch. 6 - Consider the preceding problem if the beam has...Ch. 6 - A simple beam thai is IS ft long supports a...Ch. 6 - The cross section of a composite beam made of...Ch. 6 - A beam is constructed of two angle sections, each...Ch. 6 - The cross section of a bimetallic strip is shown...Ch. 6 - A W 12 x 50 steel wide-flange beam and a segment...Ch. 6 - A reinforced concrete beam (see figure) is acted...Ch. 6 - A reinforced concrete T-beam (see figure) is acted...Ch. 6 - A reinforced concrete slab (see figure) is...Ch. 6 - A wood beam reinforced using two channels is...Ch. 6 - A wood beam reinforced by an aluminum channel...Ch. 6 - A beam with a rectangular cross section supports...Ch. 6 - A wood beam with a rectangular cross section (see...Ch. 6 - Solve the preceding problem for the following...Ch. 6 - A simply supported wide-flange beam of span length...Ch. 6 - Solve the preceding problem using the fol...Ch. 6 - A wood cantilever beam with a rectangular cross...Ch. 6 - Solve the preceding problem for a cantilever beam...Ch. 6 - A 2-m-long cantilever beam is constructed using a...Ch. 6 - A wood beam AB with a rectangular cross section (4...Ch. 6 - A steel beam of I-section (see figure) is simply...Ch. 6 - A cantilever beam with a wide-flange cross section...Ch. 6 - Solve the preceding problem using a W 310 x 129...Ch. 6 - A cantilever beam of W 12 × 14 section and length...Ch. 6 - A cantilever beam built up from two channel...Ch. 6 - A built-Lip I-section steel beam with channels...Ch. 6 - Repeat Problem 6.4-14 but use the configuration of...Ch. 6 - A beam with a channel section is subjected to a...Ch. 6 - A beam with a channel section is subjected to a...Ch. 6 - An angle section with equal legs is subjected to a...Ch. 6 - An angle section with equal legs is subjected to a...Ch. 6 - A beam made up all woun equal leg angles is...Ch. 6 - The Z-section of Example D-7 is subjected to M = 5...Ch. 6 - The cross section of a steel beam is constructed...Ch. 6 - The cross section of a steel beam is shown in the...Ch. 6 - A beam with a semicircular cross section of radius...Ch. 6 - .10 A built-up bourn supporting a condominium...Ch. 6 - Asteelpost (E = 30 × 106 psi) having thickness t =...Ch. 6 - A C 200 x 17.1 channel section has an angle with...Ch. 6 - A cold-formed steel section is made by folding a...Ch. 6 - A simple beam with a W 10 x 30 wide-flange cross...Ch. 6 - Solve the preceding problem for a W 250 × 44.8...Ch. 6 - A beam of wide-flange shape, W 8 x 28, has the...Ch. 6 - Solve the preceding problem for a W 200 × 41,7...Ch. 6 - Calculate the distance e from the cent crime of...Ch. 6 - Calculate the distance e from the centerline of...Ch. 6 - The cross section of an unbalanced wide-flange...Ch. 6 - The cross section of an unbalanced wide-flange...Ch. 6 - The cross section of a channel beam with double...Ch. 6 - The cross section of a slit circular tube of...Ch. 6 - The cross section of a slit square tube of...Ch. 6 - The cross section of a slit rectangular tube of...Ch. 6 - A U-shaped cross section of constant thickness is...Ch. 6 - Derive the following formula for the distance e...Ch. 6 - Derive the following formula for the distance e...Ch. 6 - The cross section of a sign post of constant...Ch. 6 - A cross section in the shape of a circular arc of...Ch. 6 - Determine the shape factor f for a cross section...Ch. 6 - (a) Determine the shape factor/for a hollow...Ch. 6 - A propped cantilever beam of length L = 54 in....Ch. 6 - A steel beam of rectangular cross section is 40 mm...Ch. 6 - .5 Calculate the shape factor j for the...Ch. 6 - Solve the preceding problem for a wide-flange beam...Ch. 6 - Determine the plastic modulus Z and shape...Ch. 6 - Prob. 6.10.8PCh. 6 - Prob. 6.10.9PCh. 6 - Prob. 6.10.10PCh. 6 - A hollow box beam with height h = 16 in,, width h...Ch. 6 - Solve the preceding problem for a box beam with...Ch. 6 - A hollow box beam with height h = 9.5 in., inside...Ch. 6 - Solve the preceding problem for a box beam with...Ch. 6 - The hollow box beam shown in the figure is...Ch. 6 - Prob. 6.10.16PCh. 6 - Prob. 6.10.17PCh. 6 - A singly symmetric beam with a T-section (see...Ch. 6 - A wide-flange beam with an unbalanced cross...Ch. 6 - .20 Determine the plastic moment Mpfor beam having...
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
- I tried this problem but I can't seem to figure out what I am missing here can you please help me?arrow_forwardSolve 4.9 row a USING THE ANALYTICAL METHODarrow_forwardcutting Instructions: Do not copy the drawing. Draw In third-angle orthographic projection, and to scale 1:1, the following views of the hinge: A sectional front view on A-A A top view ⚫ A right view (Show all hidden detail) Show the cutting plane in the top view . Label the sectioned view Note: All views must comply with the SABS 0111 Code of Practice for Engineering Drawing. Galaxy A05s Assessment criteria: ⚫ Sectional front view 026 12 042 66 [30] 11 10arrow_forward
- 1. Plot the moment (M), axial (N), and shear (S) diagrams as functions of z. a) b) F₁ = 1250 N F₁ = 600 N M₁ = 350 000 N mm F2 = 500 N 200 N a = 600 mm b=1000 mm a=750 mm b = 1000 mm d) M₁ = 350 000 N mm F₁ = 600 N F₂ =200 N a = 600 mm b = 1000 mm M₁ 175 000 Nmm F = 900 N a-250 mm b-1000 mm -250 mm. Figure 1: Schematics problem 1.arrow_forwardGiven the following cross-sections (with units in mm): b) t=2 b=25 h=25 t = 1.5 b=20 b=25 t=2 I t = 1.5 a=10 b=15 h-25 b=15 t=3 T h=25 Figure 3: Cross-sections for problem 2. 1. For each of them, calculate the position of the centroid of area with respect to the given coordinate system and report them in the table below. 2. For each of them, calculate the second moments of inertia I... and I, around their respective centroid of area and report them in the table below. Note: use the parallel axes theorem as much as possible to minimize the need to solve integrals. Centroid position x y box Moment of inertia lyy by a) b) c) d) e)arrow_forwardProblem 1: Analyze the canard-wing combination shown in Fig. 1. The canard and wing are made of the same airfoil section and have AR AR, S = 0.25, and = 0.45% 1. Develop an expression for the moment coefficient about the center of gravity in terms of the shown parameters (, and zg) and the three-dimensional aerodynamic characteristics of the used wing/canard (CL C and CM). 2. What is the range of the cg location for this configuration to be statically stable? You may simplify the problem by neglecting the upwash (downwash) effects between the lifting surfaces and the drag contribution to the moment. You may also assume small angle approximation. Figure 1: Canard-Wing Configuration.arrow_forward
- Problem 2: Consider the Boeing 747 jet transport, whose layout is shown in Fig. 2 and has the following characteristics: xoa 0.25, 8 5500/2, b 195.68ft, 27.31ft, AR, 3.57, V = 0.887 Determine the wing and tail contributions to the CM-a curve. You may want to assume CM, reasonable assumptions (e.g., -0.09, 0, -4°. i=0.0°, and i = -2.0°. Make any other 0.9).arrow_forwardZ Fy = 100 N Fx = 100 N F₂ = 500 N a = 500 mm b = 1000 mm Figure 2: Schematics for problem 3. 1. Draw the moment (M), axial (N), and shear (S) diagrams. Please note that this is a 3D problem and you will have moment (M) and shear (S) along two different axes. That means that you will have a total of 5 diagrams.arrow_forwardAn ideal gas with MW of 29 g/mol, cp = 1.044 kJ/kgK and c₁ = 0.745 kJ/kgK contained in a cylinder-piston assembly initially has a pressure of 175 kPa, a temperature of 22°C, and a volume of 0.30 m³. It is heated slowly at constant volume (process 1-2) until the pressure is doubled. It is then expanded slowly at constant pressure (process 2-3) until the volume is doubled. Draw a figure of the system and the PV diagram showing each state and the path each process takes. Determine the total work done by the system and total heat added (J) in the combined process.arrow_forward
- please explain each method used, thank youarrow_forwardDetermine the resultant loadings acting on the cross sections at points D and E of the frame.arrow_forwardA spring of stiffness factor 98 N/m is pulled through 20 cm. Find the restoring force and compute the mass which should be attached so as to stretch in spring by same amount.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Types of Manufacturing Process | Manufacturing Processes; Author: Magic Marks;https://www.youtube.com/watch?v=koULXptaBTs;License: Standard Youtube License