Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
thumb_up100%
Chapter 1.5, Problem 1.38P
The board is subjected to a tensile force of 200 lb. Determine the average normal and average shear stress in the wood fibers, which are oriented along plane a–a at 20° with the axis of the board.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
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…
I tried this problem but I can't seem to figure out what I am missing here can you please help me?
Chapter 1 Solutions
Mechanics of Materials (10th Edition)
Ch. 1.2 - In each case, explain how to find the resultant...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - Determine the resultant internal normal and shear...Ch. 1.2 - Determine the resultant internal loadings acting...
Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings on the...Ch. 1.2 - Determine the resultant internal loadings at cross...Ch. 1.2 - The beam supports the distributed load shown....Ch. 1.2 - The beam supports the distributed load shown....Ch. 1.2 - The boom DF of the jib crane and the column DE...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - The blade of the hacksaw is subjected to a...Ch. 1.2 - The blade of the hacksaw is subjected to a...Ch. 1.2 - The beam supports the triangular distributed load...Ch. 1.2 - The beam supports the distributed load shown....Ch. 1.2 - The shaft is supported at its ends by two bearings...Ch. 1.2 - The shaft is supported at its ends by two bearings...Ch. 1.2 - The hand crank that is used in a press has the...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - The metal stud punch is subjected to a force of...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - The pipe has a mass of 12 kg/m. If it is fixed to...Ch. 1.2 - If the drill bit jams when the brace is subjected...Ch. 1.2 - The curved rod AD of radius r has a weight per...Ch. 1.2 - A differential element taken from a curved bar is...Ch. 1.5 - In each case, determine the largest internal shear...Ch. 1.5 - Determine the largest internal normal force in the...Ch. 1.5 - Determine the internal normal force at section A...Ch. 1.5 - The lever is held to the fixed shaft using the pin...Ch. 1.5 - The single-V butt joint transmits the force of 5...Ch. 1.5 - The uniform beam is supported by two rods AB and...Ch. 1.5 - Determine the average normal stress on the cross...Ch. 1.5 - Determine the average normal stress on the cross...Ch. 1.5 - If the 600-kN force acts through the centroid of...Ch. 1.5 - Determine the average normal stress at points A,...Ch. 1.5 - Determine the average normal stress in rod AB if...Ch. 1.5 - The supporting wheel on a scaffold is held in...Ch. 1.5 - Determine the largest intensity w of the uniform...Ch. 1.5 - The bar has a cross-sectional area A and is...Ch. 1.5 - The small block has a thickness of 0.5 in. If the...Ch. 1.5 - If the material fails when the average normal...Ch. 1.5 - If the block is subjected to a centrally applied...Ch. 1.5 - The plate has a width of 0.5 m. If the stress...Ch. 1.5 - The board is subjected to a tensile force of 200...Ch. 1.5 - The boom has a uniform weight of 600 lb and is...Ch. 1.5 - Determine the average normal stress in each of the...Ch. 1.5 - If the average normal stress in each of the...Ch. 1.5 - Determine the maximum average shear stress in pin...Ch. 1.5 - If P=5 kN, determine the average shear stress in...Ch. 1.5 - Determine the maximum magnitude P of the loads the...Ch. 1.5 - The column is made of concrete having a density of...Ch. 1.5 - The beam is supported by two rods AB and CD that...Ch. 1.5 - The beam is supported by two rods AB and CD that...Ch. 1.5 - If P = 15 kN, determine the average shear stress...Ch. 1.5 - The railcar docklight is supported by the...Ch. 1.5 - The plastic block is subjected to an axial...Ch. 1.5 - The two steel members are joined together using a...Ch. 1.5 - The bar has a cross-sectional area of 400(106) m2....Ch. 1.5 - The bar has a cross-sectional area of 400(106) m2....Ch. 1.5 - The two members used in the construction of an...Ch. 1.5 - The 2-Mg concrete pipe has a center of mass at...Ch. 1.5 - The 2-Mg concrete pipe has a center of mass at...Ch. 1.5 - The pier is made of material having a specific...Ch. 1.5 - Rods AB and BC have diameters of 4 mm and 6 mm,...Ch. 1.5 - The uniform bar, having a cross-sectional area of...Ch. 1.5 - The bar has a cross-sectional area of 400(106) m2....Ch. 1.5 - The bar has a cross-sectional area of 400(106) m2....Ch. 1.5 - The prismatic bar has a cross-sectional area A. If...Ch. 1.5 - The prismatic bar has a cross-sectional area A. If...Ch. 1.5 - The bars of the truss each have a cross-sectional...Ch. 1.5 - The bars of the truss each have a cross-sectional...Ch. 1.5 - Determine the largest load P that can be applied...Ch. 1.5 - Determine the greatest constant angular velocity ...Ch. 1.5 - The radius of the pedestal is defined by r =...Ch. 1.7 - Rods AC and BC are used to suspend the 200-kg...Ch. 1.7 - If it is subjected to double shear, determine the...Ch. 1.7 - Determine the maximum average shear stress...Ch. 1.7 - If each of the three nails has a diameter of 4 mm...Ch. 1.7 - The strut is glued to the horizontal member at...Ch. 1.7 - Determine the maximum average shear stress...Ch. 1.7 - If the eyebolt is made of a material having a...Ch. 1.7 - If the bar assembly is made of a material having a...Ch. 1.7 - Determine the maximum force P that can be applied...Ch. 1.7 - The pin is made of a material having a failure...Ch. 1.7 - If the bolt head and the supporting bracket are...Ch. 1.7 - Six nails are used to hold the hanger at A against...Ch. 1.7 - If A and B are both made of wood and are 38 in....Ch. 1.7 - Prob. 1.70PCh. 1.7 - The connection is made using a bolt and nut and...Ch. 1.7 - The tension member is fastened together using two...Ch. 1.7 - The steel swivel bushing in the elevator control...Ch. 1.7 - The spring mechanism is used as a shock absorber...Ch. 1.7 - Determine the size of square bearing plates A and...Ch. 1.7 - Determine the maximum load P that can be applied...Ch. 1.7 - Determine the required diameter of the pins at A...Ch. 1.7 - If the allowable tensile stress for wires AB and...Ch. 1.7 - If the allowable tensile stress for wires AB and...Ch. 1.7 - The cotter is used to hold the two rods together....Ch. 1.7 - Determine the required diameter of the pins at A...Ch. 1.7 - The steel pipe is supported on the circular base...Ch. 1.7 - The boom is supported by the winch cable that has...Ch. 1.7 - The boom is supported by the winch cable that has...Ch. 1.7 - The assembly consists of three disks A, B, and C...Ch. 1.7 - The two aluminum rods support the vertical force...Ch. 1.7 - The two aluminum rods AB and AC have diameters of...Ch. 1.7 - Determine the required minimum thickness t of...Ch. 1.7 - Determine the maximum allowable load P that can be...Ch. 1.7 - The compound wooden beam is connected together by...Ch. 1.7 - The hanger is supported using the rectangular pin....Ch. 1.7 - The hanger is supported using the rectangular pin....Ch. 1.7 - The rods AB and CD are made of steel. Determine...Ch. 1.7 - The aluminum bracket A is used to support the...Ch. 1.7 - If the allowable tensile stress for the bar is...Ch. 1.7 - The bar is connected to the support using a pin...Ch. 1 - The beam AB is pin supported at A and supported by...Ch. 1 - The long bolt passes through the 30-mm-thick...Ch. 1 - Determine the required thickness of member BC to...Ch. 1 - The circular punch B exerts a force of 2 kN on the...Ch. 1 - Determine the average punching shear stress the...Ch. 1 - The 150 mm by 150 mm block of aluminum supports a...Ch. 1 - The yoke-and-rod connection is subjected to a...Ch. 1 - The cable has a specific weight (weight/volume)...
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
- Solve 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_forward1. 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_forward
- Given 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_forwardProblem 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_forward
- Z 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_forwardplease explain each method used, thank youarrow_forward
- Determine 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_forwardL 2L A M B qarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
composite-materials; Author: Tonya Coffey;https://www.youtube.com/watch?v=Vu6ik-bcKf4;License: Standard youtube license