Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3.7, Problem 14FP
A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P= 50 kN. The elongation of the rod is δ = 1.40 mm, and its diameter becomes d′ = 19.9837 mm. Determine the modulus of elasticity and the modulus of rigidity of the material. Assume that the material does not yield.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P = 50 kN. The elongation of the rod is d = 1.40 mm, and its diameter becomes d = 19.9837 mm. Determine the modulus of elasticity and the modulus of rigidity of the material. Assume that the material does not yield.
Let's consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a material having a Young's modulus E = 200 Gpa and a Poisson's ratio of
0.3. If a tensile force Fis subjected to that rod cross-section, the diameter becomes 5.998 mm. determine the applied force F.
Select one:
O F=15708 N
O F= 5236 N
O F= 6283 N
O F=4189 N
O F= 10472 N
O F= 13090N
Clear my choice
Finish attempt.
IOUS ACTIVITY
360 Test - Spring 2020-2021
Jump to.
11:21 PM
4) G ENG
4/15/2021
LEGO
ort sc
delete
end
home
backspace
num
lock
7V
home
enter
4E
K
pause
M
9. A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an
axial force of P=50 kN. The elongation of the rod is ô=1.40 mm, and its diameter
becomes d'=19.9837 mm. Determine the modulus of elasticity and the modulus of
rigidity of the material. Assume that the material does not yield
P = 50 kN
600 mm
20 mm
P = 50 kN
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
- The column is loaded with an axial force of P = 2,050 kN through a rigid endplate. Determine the deformation of the column in mm.arrow_forwardA 12mm thick steel tire has a width of 110mm and has an internal diameter of 800mm. The tire is heated and shrunk to a steel wheel 800.5 mm in diameter. The modulus of elasticity E = 200 MPa. a. Determine the tensile stress in the tire. b. Determine the compressive pressure between the tire and the wheel. c. Determine the thickness of the tire to resist a pressure of 1.5 MPa if it has an allowable stress of 124 MPa. I need answer ASAP. Thank you!arrow_forwardIf the temperature of the 85 mmmm diameter post CD is increased by 60 ⚫C, determine the force developed in the post. The post and the beam are made of A-36 steel, and the moment of inertia of the beam is | = 255 (10 6)mm4. Figure 1 of 1 the temperature of the 85 mm-diameter post CD increased by 60 "C determine the force developed in the post. The post and the beam are made of A-36 meel, and the moment of the 255 (30) Express your answer with the appropriate units Bes Unitsarrow_forward
- A straight bar 450 mm long is 10 mm in diameter for the first 200 mm length and 20 mm in diameter for the remaining length. If the bar is subjected to an axial push of 10 kN, determine decrease in length of the bar. Take modulus of elasticity of bar material E = 2 × 105 N/mm²arrow_forwardThe pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 19 mm and an elastic modulus of E = 68 %3D GPa. The steel rod has a diameter of 15 mm and an elastic modulus of E = 215 GPa. %3D Assume a = 3.0 m, b = 1.9 m, and c = 0.8 m. What is the magnitude of load P that is necessary to displace point A 14 mm to the left? a b (1) (3) A B (2) Darrow_forwardA 500-mm-long, 16-mm-diameter rod made of a homogenous, isotropic material is observed to increase in length by 300 μm, and to decrease in diameter by 2.4 μm when subjected to an axial 12-kN load. Determine the modulus of elasticity and Poisson’s ratio of the material.arrow_forward
- A cylindrical rod has initial dimensions of length ? = 4 m andradius ? = 1 cm. When the rod is pulled in tension axially withan external force of ? = 200 kN, the rod deforms to newdimensions of length ?′ = 4.024 m and radius ?′ = 0.998 cm.Determine the modulus of elasticity of the rod and its Poisson’sratio. Assume the rod deforms in the elastic range.arrow_forwardA cylindrical rod of Ni 200 alloy has the following properties: E = 204 GPa, ν = 0.31. It is loaded elastically in compression at 12.5 kN. If the original rod length and diameter are 20 mm and 15 mm, respectively, determine the rod length and diameter under load.arrow_forwardA rectangular steel block is 76 mm long in the x direction, 50 mm long in the y direction, and 100 mmlong in the z direction. The block is subjected to a triaxial loading consisting of three axial forces asfollows: 214 kN tension in the x direction, 268 kN compression in the y direction, and 241 kN tensionin the z direction. If v = 0.30 and E = 200 GPa, determine the axial load in the x direction that wouldproduce the same deformation in the y direction as the original loading.arrow_forward
- A uniform edge load of 400 lb/in. and 300 lb/in. is applied to the thin plane specimen shown below. If the specimen is originally square and has dimensions of a = 2 in., b = 2 in., and a thickness of t = 0.25 in., determine its new dimensions a', b', and t' after the load is applied. Elastic modulus E = 600 x 103 psi and Poisson's ratio v = 0.3. 300 lb/in. a = 2 in. 400 lb/in. 300 lb/in. b = 2 in. 400 lb/in.arrow_forwardLet's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a material having a Young's modulus E = 120 Gpa and a Poisson's ratio of 0.33. If a tensile force F is subjected to that rod cross-section, the diameter becomes 3.995 mm. determine the applied force F. Select one: O F= 2856 N OF = 2285 N OF = 7140N OF = 5712 N OF = 3427 N O F = 8568 Narrow_forwardDetermine the change in length, width and thickness of steel bar which is 4m long, 30mm wide and 20mm thick and is subjected to an axial pull of 30 kN in the direction of length. Take E = 200 GPa and poison's ratio of 0.3. Also determine the volumetric strain and change in volume.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
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