Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 3, Problem 2RP
The elastic portion of the tension stress-strain diagram for an aluminum alloy is shown in the figure. The specimen used for the test has a gage length of 2 in. and a diameter of 0.5 in. If the applied load is 10 kip, determine the new diameter of the specimen. The shear modulus is Gal = 3.8 (103) ksi
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
3. The structure in Figure 3 is loaded by a horizontal force P = 2.4 kN at C. The roller at E is
frictionless. Find the axial force N, the shear force V and the bending moment M at a section
just above the pin B in the member ABC and illustrate their directions on a sketch of the segment
AB.
B
P
D
A
65°
65°
E
all dimensions in meters
Figure 3
4. The distributed load in Figure 4 varies linearly from 3wo per unit length at A to wo per unit
length at B and the beam is built in at A. Find expressions for the shear force V and the bending
moment M as functions of x.
3W0
Wo
A
L
Figure 4
2
B
1. The beam AB in Figure 1 is subjected to a uniformly distributed load wo = 100 N/m. Find
the axial force N, the shear force V and the bending moment M at the point D which is midway
between A and B and illustrate their directions on a sketch of the segment DB.
wo per unit length
A
D'
B
all dimensions in meters
Chapter 3 Solutions
Mechanics of Materials
Ch. 3.4 - Define a homogeneous material.Ch. 3.4 - Indicate the points on the stress-strain diagram...Ch. 3.4 - Define the modulus of elasticity E.Ch. 3.4 - At room temperature, mild steel is a ductile...Ch. 3.4 - Engineering stress and strain are calculated using...Ch. 3.4 - As the temperature increases the modulus of...Ch. 3.4 - A 100-mm-long rod has a diameter of 15 mm. If an...Ch. 3.4 - A bar has a length of 8 in. and cross-sectional...Ch. 3.4 - A 10-mm-diameter rod has a modulus of elasticity...Ch. 3.4 - The material for the 50-mm-long specimen has the...
Ch. 3.4 - The material for the 50-mm-long specimen has the...Ch. 3.4 - If the elongation of wire BC is 0.2 mm after the...Ch. 3.4 - Data taken from a stress-strain test for a ceramic...Ch. 3.4 - The stress-strain diagram for a steel alloy having...Ch. 3.4 - The stress-strain diagram for a steel alloy having...Ch. 3.4 - The stress-strain diagram for a steel alloy having...Ch. 3.4 - Determine the elongation of the square hollow bar...Ch. 3.4 - The stress-strain diagram for an aluminum alloy...Ch. 3.4 - The stress-strain diagram for an aluminum alloy...Ch. 3.4 - The stress-strain diagram for an aluminum alloy...Ch. 3.4 - A structural member in a nuclear reactor is made...Ch. 3.4 - The rigid pipe is supported by a pin at A and an...Ch. 3.4 - The rigid pipe is supported by a pin at A and an...Ch. 3.4 - Direct tension indicators are sometimes used...Ch. 3.4 - A tension test was performed on a magnesium alloy...Ch. 3.4 - The stress-strain diagram for a bone is shown and...Ch. 3.4 - The two bars are made of a material that has the...Ch. 3.4 - The two bars are made of a material that has the...Ch. 3.7 - A 100-mm-long rod has a diameter of 15 mm. If an...Ch. 3.7 - A solid circular rod that is 600 mm long and 20 mm...Ch. 3.7 - A 20-mm-wide block is firmly bonded to rigid...Ch. 3.7 - A 20-mm-wide block is bonded to rigid plates at...Ch. 3.7 - The acrylic plastic rod is 400mm long and 20mm in...Ch. 3.7 - The elastic portion of the stress-strain diagram...Ch. 3.7 - The elastic portion of the stress-strain diagram...Ch. 3.7 - The lap joint is connected together using a 1.25...Ch. 3.7 - The lap joint is connected together using a 1.25...Ch. 3.7 - Prob. 32PCh. 3.7 - The thin-walled tube is subjected to an axial...Ch. 3 - The elastic portion of the tension stress-strain...Ch. 3 - The elastic portion of the tension stress-strain...Ch. 3 - The rigid beam rests in the horizontal position on...Ch. 3 - The wires each have a diameter of 12 in., length...Ch. 3 - Prob. 5RPCh. 3 - diameter steel bolts. If the clamping force in...Ch. 3 - The stress-strain diagram for polyethylene, which...Ch. 3 - The pipe with two rigid caps attached to its ends...Ch. 3 - The 8-mm-diameter bolt is made of an aluminum...Ch. 3 - An acetal polymer block is fixed to the rigid...
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. Find the shear force V and the bending moment M for the beam of Figure 5 as functions of the distance x from A. Hence find the location and magnitude of the maximum bending moment. w(x) = wox L x L Figure 5 Barrow_forwardDry atmospheric air enters an adiabatic compressor at a 20°C, 1 atm and a mass flow rate of 0.3kg/s. The air is compressed to 1 MPa. The exhaust temperature of the air is 70 degrees hottercompared to the exhaust of an isentropic compression.Determine,a. The exhaust temperature of the air (°C)b. The volumetric flow rate (L/s) at the inlet and exhaust of the compressorc. The power required to accomplish the compression (kW)d. The isentropic efficiency of the compressore. An accounting of the exergy entering the compressor (complete Table P3.9) assuming that thedead state is the same as State 1 (dry atmospheric air)f. The exergetic efficiency of the compressorarrow_forwardA heat pump is operating between a low temperature reservoir of 270 K and a high temperaturereservoir of 340 K. The heat pump receives heat at 255 K from the low temperature reservoir andrejects heat at 355 K to the high temperature reservoir. The heating coefficient of performance ofthe heat pump is 3.2. The heat transfer rate from the low temperature reservoir is 30 kW. The deadstate temperature is 270 K. Determine,a. Power input to the heat pump (kW)b. Heat transfer rate to the high-temperature reservoir (kW)c. Exergy destruction rate associated with the low temperature heat transfer (kW)d. Exergy destruction rate of the heat pump (kW)e. Exergy destruction rate associated with the high temperature heat transfer (kW)f. Exergetic efficiency of the heat pump itselfarrow_forward
- Refrigerant 134a (Table B6, p514 of textbook) enters a tube in the evaporator of a refrigerationsystem at 132.73 kPa and a quality of 0.15 at a velocity of 0.5 m/s. The R134a exits the tube as asaturated vapor at −21°C. The tube has an inside diameter of 3.88 cm. Determine the following,a. The pressure drop of the R134a as it flows through the tube (kPa)b. The volumetric flow rate at the inlet of the tube (L/s)c. The mass flow rate of the refrigerant through the tube (g/s)d. The volumetric flow rate at the exit of the tube (L/s)e. The velocity of the refrigerant at the exit of the tube (m/s)f. The heat transfer rate to the refrigerant (kW) as it flows through the tubearrow_forwardWater enters the rigid, covered tank shown in Figure P3.2 with a volumetric flow rate of 0.32L/s. The water line has an inside diameter of 6.3 cm. The air vent on the tank has an inside diameterof 4.5 cm. The water is at a temperature of 30°C and the air in the tank is at atmospheric pressure(1 atm) and 30°C. Determine the air velocity leaving the vent at the instant shown in the figurearrow_forwardUsing method of sections, determine the force in member BC, HC, and HG. State if these members are in tension or compression. 2 kN A 5 kN 4 kN 4 kN 3 kN H B C D E 3 m F 2 m -5 m 5 m- G 5 m 5 m-arrow_forward
- Determine the normal stresses σn and σt and the shear stress τnt at this point if they act on the rotated stress element shownarrow_forwardUsing method of joints, determine the force in each member of the truss and state if the members are in tension or compression. A E 6 m D 600 N 4 m B 4 m 900 Narrow_forwardQuestion 5. The diagram below shows a mass suspended from a tie supported by two horizontal braces of equal length. The tie forms an angle "a" of 60° to the horizontal plane, the braces form an angle 0 of 50° to the vertical plane. If the mass suspended is 10 tonnes, and the braces are 10m long, find: a) the force in the tie; & b) the force in the braces Horizontal Braces, Tie Massarrow_forward
- = MMB 241 Tutorial 2.pdf 1 / 3 75% + + Tutorial z Topic: Kinematics of Particles:-. QUESTIONS 1. Use the chain-rule and find y and ŷ in terms of x, x and x if a) y=4x² b) y=3e c) y = 6 sin x 2. The particle travels from A to B. Identify the three unknowns, and write the three equations needed to solve for them. 8 m 10 m/s 30° B x 3. The particle travels from A to B. Identify the three unknowns, and write the three equations needed to solve for them. A 40 m/s 20 m B 1arrow_forward3 m³/s- 1 md 45° V 1.8 mr 2mrarrow_forward= MMB 241 Tutorial 2.pdf 3/3 75% + + 6. A particle is traveling along the parabolic path y = 0.25 x². If x = 8 m, vx=8 m/s, and ax= 4 m/s² when t = 2 s, determine the magnitude of the particle's velocity and acceleration at this instant. y = 0.25x² -x 7. Determine the speed at which the basketball at A must be thrown at the angle of 30° so that it makes it to the basket at B. 30° -x 1.5 m B 3 m -10 m- 8. The basketball passed through the hoop even though it barely cleared the hands of the player B who attempted to block it. Neglecting the size of the ball, determine the 2arrow_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
An Introduction to Stress and Strain; Author: The Efficient Engineer;https://www.youtube.com/watch?v=aQf6Q8t1FQE;License: Standard YouTube License, CC-BY