MECHANICS OF MATERIAL IN SI UNITS
10th Edition
ISBN: 9781292178202
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6.10, Problem 6.182P
The beam is made of phenolic, a structural plastic, that has the stress-strain curve shown. If a portion of the curve can be represented by the equation σ = (5(105)ε)1/2 MPa, determine the magnitude w of the distributed load that can be applied to the beam without causing the maximum strain in its fibers at the critical section to exceed εmax = 0.005 mm / mm.
Prob. 6–182
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In MATLAB, can you help me simulate an orbit under earth J2 perturbation with the Milankovich orbital elements? Also, can you check to see if they fit the Milankovich constraint equaiton?
8. All of the members in the Warren truss of Figure 8 are of length 10 ft. Use the method of
sections to determine the forces in the members BD,CD,CE.
B
A
C
D
E
F
G
2000 lb
3000 lb
5000 lb
Figure 8
H
An acrobat is walking on a tightrope of length L
=20.1 m attached to supports A and B at a
distance of 20.0 m apart. The combined weight
of the acrobat and his balancing pole is 900 N,
and the friction between his shoes and the rope
is large enough to prevent him from slipping.
Neglecting the weight of the rope and any
elastic deformation, determine the deflection (y)
and the tension in portion AC and BC of the
rope for values of x from 0.5 m to 10 m using
0.5 m increments.
1. Determine the maximum deflection (y) in
the rope.
2. Plot tension of AC and BC vs. x (on the
same plot with x on the x-axis). Turn in the
plot and the table of x, TAC, and TBC (clearly
label each).
A
C
20.0 m
B
Chapter 6 Solutions
MECHANICS OF MATERIAL IN SI UNITS
Ch. 6.2 - In each case, the beam is subjected to the...Ch. 6.2 - and then draw the shear and moment diagrams for...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - Draw the shear and moment diagrams for the shaft...
Ch. 6.2 - Draw the shear and moment diagrams for the beam,...Ch. 6.2 - Draw the shear and moment diagrams for the beam,...Ch. 6.2 - Express the shear and moment in terms of x for 0 ...Ch. 6.2 - Express the internal shear and moment in the...Ch. 6.2 - Draw the shear and moment diagrams for the shaft....Ch. 6.2 - Express the internal shear and moment in terms of...Ch. 6.2 - Draw the shear and moment diagrams for the beam,...Ch. 6.2 - If the force applied to the handle of the load...Ch. 6.2 - Draw the shear and moment diagrams for the shaft....Ch. 6.2 - The crane is used to support the engine, which has...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Members ABC and BD of the counter chair are...Ch. 6.2 - A reinforced concrete pier is used to support the...Ch. 6.2 - Draw the shear and moment diagrams for the beam...Ch. 6.2 - The industrial robot is held in the stationary...Ch. 6.2 - Determine the placement distance a of the roller...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - The 150-lb man sits in the center of the boat,...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - The footing supports the load transmitted by the...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - The support at A allows the beam to slide freely...Ch. 6.2 - The smooth pin is supported by two leaves A and B...Ch. 6.2 - The shaft is supported by a smooth thrust bearing...Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - Draw the shear and moment diagrams for the rod....Ch. 6.2 - Draw the shear and moment diagrams for the beam...Ch. 6.2 - The beam is used to support a uniform load along...Ch. 6.2 - Draw the shear and moment diagrams for the double...Ch. 6.2 - Draw the shear and moment diagrams for the simply...Ch. 6.2 - The compound beam is fixed at A, pin connected at...Ch. 6.2 - Draw the shear and moment diagrams for the...Ch. 6.2 - The compound beam is fixed at A, pin connected at...Ch. 6.2 - Draw the shear and moment diagrams for the beam....Ch. 6.2 - A short link at B is used to connect beams AB and...Ch. 6.2 - The truck is to be used to transport the concrete...Ch. 6.4 - Determine the moment of inertia of the cross...Ch. 6.4 - Determine the location of the centroid, y, and the...Ch. 6.4 - In each case, show how the bending stress acts on...Ch. 6.4 - Sketch the bending stress distribution over each...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - If the beam is subjected to a bending moment of M...Ch. 6.4 - An A-36 steel strip has an allowable bending...Ch. 6.4 - Determine the moment M that will produce a maximum...Ch. 6.4 - Determine the maximum tensile and compressive...Ch. 6.4 - The beam is constructed from four pieces of wood,...Ch. 6.4 - The beam is constructed from four pieces of wood,...Ch. 6.4 - The beam is made from three boards nailed together...Ch. 6.4 - The beam is made from three boards nailed together...Ch. 6.4 - If the built-up beam is subjected to an internal...Ch. 6.4 - If the built-up beam is subjected to an internal...Ch. 6.4 - The beam is subjected to a moment of M = 40 kN m....Ch. 6.4 - The steel shaft has a diameter of 2 in. It is...Ch. 6.4 - The beam is made of steel that has an allowable...Ch. 6.4 - A shaft is made of a polymer having an elliptical...Ch. 6.4 - Solve Prob. 6-65 if the moment M = 50 N m is...Ch. 6.4 - Prob. 6.67PCh. 6.4 - The shaft is supported by smooth journal bearings...Ch. 6.4 - The axle of the freight car is subjected to a...Ch. 6.4 - The strut on the utility pole supports the cable...Ch. 6.4 - The boat has a weight of 2300 lb and a center of...Ch. 6.4 - Determine the absolute maximum bending stress in...Ch. 6.4 - Determine the smallest allowable diameter of the...Ch. 6.4 - The pin is used to connect the three links...Ch. 6.4 - The shaft is supported by a thrust bearing at A...Ch. 6.4 - A timber beam has a cross section which is...Ch. 6.4 - If the beam is subjected to an internal moment of...Ch. 6.4 - If the allowable tensile and compressive stress...Ch. 6.4 - If the beam is subjected to an internal moment of...Ch. 6.4 - If the beam is subjected to a moment of M = 100 kN...Ch. 6.4 - If the beam is made of material having an...Ch. 6.4 - The shaft is supported by a smooth thrust bearing...Ch. 6.4 - The shaft is supported by a thrust bearing at A...Ch. 6.4 - If the intensity of the load w = 15 kN/m,...Ch. 6.4 - If the allowable bending stress is allow = 150...Ch. 6.4 - The beam is subjected to the triangular...Ch. 6.4 - The beam has a rectangular cross section with b =...Ch. 6.4 - Prob. 6.88PCh. 6.4 - If the compound beam in Prob. 642 has a square...Ch. 6.4 - If the beam in Prob. 628 has a rectangular cross...Ch. 6.4 - Determine the absolute maximum bending stress in...Ch. 6.4 - Determine, to the nearest millimeter, the smallest...Ch. 6.4 - Determine the absolute maximum bending stress in...Ch. 6.4 - Determine the absolute maximum bending stress in...Ch. 6.4 - Determine the smallest diameter of the shaft to...Ch. 6.4 - A log that is 2 ft in diameter is to be cut into a...Ch. 6.4 - A log that is 2 ft in diameter is to be cut into a...Ch. 6.4 - If the beam in Prob.63 has a rectangular cross...Ch. 6.4 - The simply supported truss is subjected to the...Ch. 6.4 - If d = 450 mm, determine the absolute maximum...Ch. 6.4 - If the allowable bending stress is allow = 6 MPa,...Ch. 6.4 - The beam has a rectangular cross section as shown....Ch. 6.4 - The beam has the rectangular cross section shown....Ch. 6.5 - Determine the bending stress at corners A and B....Ch. 6.5 - Determine the maximum bending stress in the beams...Ch. 6.5 - The member has a square cross section and is...Ch. 6.5 - The member has a square cross section and is...Ch. 6.5 - Consider the general case of a prismatic beam...Ch. 6.5 - Determine the bending stress at point A of the...Ch. 6.5 - Determine the bending stress at point A of the...Ch. 6.5 - The steel shaft is subjected to the two loads. If...Ch. 6.5 - The 65-mm-diameter steel shaft is subjected to the...Ch. 6.5 - For the section, lz = 31.7(10-5) m4, lY =...Ch. 6.5 - For the section, lz, = 31.7(10-5) m4, lY =...Ch. 6.5 - The box beam is subjected to a moment of M = 15...Ch. 6.5 - Determine the maximum magnitude of the bending...Ch. 6.5 - The shaft is subjected to the vertical and...Ch. 6.5 - For the section, Iy' = 31.7(10-6) m4, Iz' =...Ch. 6.5 - For the section, Iy' = 31.7(10-6) m4, Iz' =...Ch. 6.5 - If the applied distributed loading of w = 4 kN/m...Ch. 6.5 - Determine the maximum allowable intensity w of the...Ch. 6.9 - The composite beam is made of steel (A) bonded to...Ch. 6.9 - The composite beam is made of steel (A) bonded to...Ch. 6.9 - Segment A of the composite beam is made from...Ch. 6.9 - Segment A of the composite beam is made from...Ch. 6.9 - The white spruce beam is reinforced with A-992...Ch. 6.9 - The wooden section of the beam is reinforced with...Ch. 6.9 - The wooden section of the beam is reinforced with...Ch. 6.9 - The Douglas Fir beam is reinforced with A-992...Ch. 6.9 - The steel channel is used to reinforce the wood...Ch. 6.9 - A wood beam is reinforced with steel straps at its...Ch. 6.9 - A bimetallic strip is made from pieces of 2014-T6...Ch. 6.9 - Determine the maximum uniform distributed load w0...Ch. 6.9 - The composite beam is made of A-36 steel (A)...Ch. 6.9 - The composite beam is made of A-36 steel (A)...Ch. 6.9 - If the beam is subjected to a moment of M = 45 kN...Ch. 6.9 - The Douglas Fir beam is reinforced with A-36 steel...Ch. 6.9 - For the curved beam in Fig. 640a, show that when...Ch. 6.9 - The curved member is subjected to the moment of M...Ch. 6.9 - The curved member is made from material having an...Ch. 6.9 - The curved beam is subjected to a moment of M = 40...Ch. 6.9 - The curved beam is made from material having an...Ch. 6.9 - If P = 3 kN, determine the bending stress at...Ch. 6.9 - If the maximum bending stress at section a-a is...Ch. 6.9 - The elbow of the pipe has an outer radius of 0.75...Ch. 6.9 - If the bar is subjected to a couple as shown,...Ch. 6.9 - The curved bar used on a machine has a rectangular...Ch. 6.9 - The steel rod has a circular cross section. If it...Ch. 6.9 - If it is subjected to a moment of M = 5 kN m,...Ch. 6.9 - The member has a circular cross section. If the...Ch. 6.9 - The curved bar used on a machine has a rectangular...Ch. 6.9 - The bar is subjected to a moment of M = 100 N, m....Ch. 6.9 - The allowable bending stress for the bar is allow...Ch. 6.9 - The bar has a thickness of 1 in. and the allowable...Ch. 6.9 - The bar has a thickness of 1 in. and is subjected...Ch. 6.9 - The bar has a thickness of 0.5 in. and the...Ch. 6.9 - If the radius of each notch on the plate is r = 10...Ch. 6.9 - The stepped bar has a thickness of 10 mm....Ch. 6.9 - The bar has a thickness of 0.5 in. and is...Ch. 6.10 - Determine the shape factor for the wide-flange...Ch. 6.10 - The wide-flange member is made from an elastic...Ch. 6.10 - The rod has a circular cross section. If it is...Ch. 6.10 - The rod has a circular cross section. If it is...Ch. 6.10 - The beam is made of an elastic perfectly plastic...Ch. 6.10 - Determine the plastic moment Mp that can be...Ch. 6.10 - Determine the shape factor for the beam. Prob....Ch. 6.10 - The beam is made of elastic perfectly plastic...Ch. 6.10 - Determine the shape factor for the beam. Prob....Ch. 6.10 - The beam is made of an elastic perfectly plastic...Ch. 6.10 - Prob. 6.168PCh. 6.10 - Prob. 6.169PCh. 6.10 - Prob. 6.170PCh. 6.10 - The rod has a circular cross section. If it is...Ch. 6.10 - Determine the shape factor of the cross section....Ch. 6.10 - The beam is made of elastic perfectly plastic...Ch. 6.10 - Determine the shape factor for the member having...Ch. 6.10 - Determine the shape factor of the cross section....Ch. 6.10 - The box beam is made of an elastic perfectly...Ch. 6.10 - The beam is made of an elastic perfectly plastic...Ch. 6.10 - The plexiglass bar has a stress-strain curve that...Ch. 6.10 - The stress-strain diagram for a titanium alloy can...Ch. 6.10 - A beam is made from polypropylene plastic and has...Ch. 6.10 - The bar is made of an aluminum alloy having a...Ch. 6.10 - The beam is made of phenolic, a structural...Ch. 6 - Using appropriate measurements and data, explain...Ch. 6 - Determine the shape factor for the wide-flange...Ch. 6 - The compound beam consists of two segments that...Ch. 6 - The composite beam consists of a wood core and two...Ch. 6 - If it resists a moment of M = 125 N m, determine...Ch. 6 - Determine the maximum bending stress in the handle...Ch. 6 - The curved beam is subjected to a bending moment...Ch. 6 - Determine the shear and moment in the beam as...Ch. 6 - A wooden beam has a square cross section as shown...Ch. 6 - Draw the shear and moment diagrams for the shaft...Ch. 6 - The strut has a square cross section a by a and is...
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
- 5. A 4000 lb block of concrete is attached by light inextensible cables to the truss in Figure 5. Determine the force in each member. State whether each member is in tension or compression. 3 ΘΑ D E cables all dimensions in feet.arrow_forwardA block hangs from the end of bar AB that is 5.80 meters long and connected to the wall in the xz plane. The bar is supported at end A by a ball joint such that it carries only a compressive force along its axis. The bar is supported in equilibrium at end B by cables BD and BC that connect to the xz plane at points C and D respectively with coordinates given in the figure. The z components of the moments exerted on the bar by these two cables sum to 0. The tension in cable BD is measured to be 210 Newtons. Input answers of zero as 0.00 to avoid an invalid answer due to significant figures. Determine the equivalent force and couple system acting at A that models only the forces exerted by both cables BD → and BC on the bar at B. Enter your results for Feq and Meg in Cartesian Components. Z D (c, 0, d) C (a, 0, b). X A f m B y cc 040 BY NC SA 2016 Eric Davishahl Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a…arrow_forwardA bent tube is attached to a wall with brackets as shown. A force of F = 785 lb is applied to the end of the tube with direction indicated by the dimensions in the figure. a.) Determine the moment about point D due to the force F Enter your answer in Cartesian components with units of ft- lbs. b.) Determine the moment about a line (i.e. axis) running from D to C due to the force F. Enter your answer in Cartesian components with units of ft-lbs. 2013 Michael Swanbom x BY NC SA g Z h A с FK kaz Values for dimensions on the figure are given in the table below. Note the figure may not be to scale. Be sure to align your cartesian unit vectors with the coordinate axes shown in the figure. Variable Value α 4.84 in b 13.2 in с 12.5 in d 30.8 in h 18.7 in 22.0 in →> a. MD=( i+ k) ft- lb →> b. MDC = î + k) ft- lbarrow_forward
- F1 3 4 5 P F2 F2 Ꮎ e b 200 3 4 5 F1 The electric pole is subject to the forces shown. Force F1 245 N and force F2 = 310 N with an angle 0 = 20.2°. Determine the moment about point P of all forces. Take counterclockwise moments to be positive. = Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 2.50 m b 11.3 m с 13.0 m The moment about point P is m. N- If the moment about point P sums up to be zero. Determine the distance c while all other values remained the same. m.arrow_forwardF y b C 10 Z Determine the moment about O due to the force F shown, the magnitude of the force F = 76.0 lbs. Note: Pay attention to the axis. Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 1.90 ft b 2.80 ft с 2.60 ft d 2.30 ft Mo = lb + k) ft-arrow_forwardThe shelf bracket is subjected to the force F = 372 Newtons at an angle = 21.4°. Compute the moment (in N-m) that this force exerts about each of the two attachment points (screw locations in the figure). Take counterclockwise moments to be positive. a duk F -0 2013 cc Michael Swanbom BY NC O SA Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 43.0 cm b 32.3 cm с 2.58 cm The moment about the upper attachment point is N-m. The moment about the lower attachment point is N-m.arrow_forward
- A man skis down a slope. His initial elevation was 150 m and his velocity at the bottom of the slope is 17 m/s. What percentage of his initial potential energy was consumed due to friction and air resistance? Use the accounting equation in your calculations.arrow_forwardIn direct calorimetry, a person is placed in a large, water-insulated chamber. The chamber is kept at a constant temperature. While in the chamber, the subject is asked to perform a number of normal activities, such as eating, sleeping, and exercising. The rate of heat released from the subject’s body can be measured by the rate of heat gain by the water bath. Would direct calorimetry be a practical way to measure metabolic rate? Why or why not?A person is placed inside a calorimetric chamber for 24 hours. During this time, the 660-gallon water bath heats up by 3.2°F. What is the subject’s metabolic rate during this period? Report your answer in kcal/day. Assume that there is no heat loss from the water to the surroundings.arrow_forwardUpon reentry into the Earth’s atmosphere, the bottom of a space shuttle heats up to dangerous levels as the craft slows for landing. If the velocity of the shuttle is 28,500 km/hr at the beginning of reentry and 370 km/hr just prior to landing, how much energy is lost as heat? The shuttle has a mass of 90,000 kg. Assume that the change in potential energy is negligible compared to the change in kinetic energy.arrow_forward
- of the basket of the balloon at point A, and their other ends are staked to the ground. The hook is located in the geometric center of the basket. The balloon and the air inside it have a combined mass of 3000 kg. You want to determine the resultant of the tension forces in the four cables acting on the hook at point A. It is known that the magnitudes of the tension in the cables are as follows: TAB = 207 N; TAC = 355 N; TAD = 250 N; and TAE = 486 N. B E 2.5 m C E 5.5 m D 2.5 m 3.5 m 1.5 m Using the information provided in the problem, express the force on the hook at point A by cable AC in rectangular component form. The force on the hook at point A by cable AC in rectangular component form is given below. T AC N) i+ N) + N) Rarrow_forwardWater in the glass tube is at a temperature of 40°C. Plot the height of the water as a function of the tube's inner diameter D for 0.5mm≤D≤3mm. Use increments of 0.5mm. Take sigma=69.6mN/m, and theta=0° for the contact angle.arrow_forwardDetermine the distance h that the column of mercury in the tube will be depressed when the tube is inserted into the mercury at a room temperature of 68 F. Plot this relationship of h (vertical axis) versus D for 0.5 in≤D≤0.150in. Give values for increments of ΔD=0.025in. Discuss this resultarrow_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 Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering 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
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY