A titanium tube with an outside diameter of 25 mm and inside diameter of 20 mm and a length of 200 mm. When an elastic uniaxial tensile force of 30 kN is applied to this tube along its length, what is the final length of that tube? (Modulus of elasticity of Titanium is 105 GPa)

A titanium tube with an outside diameter of 25 mm and inside diameter of 20 mm and a length of 200 mm. When an elastic uniaxial tensile force of 30 kN is applied to this tube along its length, what is the final length of that tube? (Modulus of elasticity of Titanium is 105 GPa)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.1P: The rails of a railroad track are welded together at their ends (to form continuous rails and thus...

See similar textbooks

Related questions

Q: A rod made of aluminum alloy, with a length of 150 mm, diameter of 15 mm, and yield strength of 160…

Q: d) If a material of a component has a youngs modulus of elasticity of 800 GPa, what strain will be…

A: Given data: E=800 GPaσ=5 MPa Need to determine the strain.

Q: cylindrical specimen of a nickel alloy having an elastic modulus of 207 GPa and an original diameter…

Q: How can you determine the modulus of elasticity and the modulus of rigidity of the material?

A: The expression to determine the modulus of elasticity is, Here, Y is the modulus of the elasticity…

Q: A round steel tension member (E = 206,900 MPa), 1,397 mm long, is subjected to a maximum load of…

Q: If for a given material, E = 2G (E is modulus of elasticity, G is the shear modulus), then the bulk…

A: from the relationship between the elastic constants we know E = 2G( 1+μ)E = 3k( 1-2μ)μ = poisson's…

Q: A/ A cylindrical specimen of a titanium alloy having an elastic modulus of 104 GPa and an original…

Q: Is Euler buckling failure initiated by an elastic, plastic, or cracking process? Explain.

A: Euler buckling failure: The column's buckling failure is said to be Euler buckling failure if the…

Q: A piece of iron originally 108 mm long is pulled in tension with a stress of 786 MPa. If the…

Q: A load of 500 N is applied on a cylindrical wire of 3.0 mm diameter and 2.5 x 10* mm length. The…

A: Solution: Given Data: P = 500 N d = 3 mm L = 25000 mm E = 107 GPa To Find: Elongation in the…

Q: Force is applied

A: Given data: The applied load, P = 850 lb. The diameter of wire, d = 0.15 in. The yield strength, σy…

Q: Express Hook's Law for non linear elastic material ? Explain in detail.

A: Hooks law: Hooks law is very important in physics and technology. It states that extension or…

Q: 20. The young’s modulus of nickel is 209 gpa. Determine the length of the bar (in mm) when a force…

Q: A metallic rod of 500 mm length and 50 mm diameter, when subjected to a tensile force of 100 kN at…

A: Length of metalic rod, L=500 mmdiameter of rod, d=50 mmTensile force, F=100 kNincrease in length=0.5…

Q: cylindrical specimen of brass that has a diameter of 20 mm, a tensile modulus of 110 GPa, and a…

Q: Explain what is the modulus of elasticity?

A: Modulus of elasticity: Modulus of elasticity is defined as the resistance per unit area produced in…

Q: For a given material, the Young's modulus is 2.8 times that of rigidity modulus. The Poisson's ratio…

A: When an amount of load act on the object it has the tendency to change the shape of the object, so…

Q: What is the material used for the wire BC? Justify your answer

Q: The aluminum shell is FULLY bonded to the brass core, and the assembly is unstressed at a…

A: according to the above given detrails

Q: A cylindrical specimen of some metal alloy 7.7 mm in diameter is stressed in tension. A force of…

A: Given: d=7.7 mmF=6280 Nδd=0.0033 mmν=0.35

Q: Calculate the modulus of elasticity for a low - carbon steel which produces the following data when…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Determine the Poisson's ratio and Bulk modulus of a material for which Young's modulus is 1.2 x 105…

A: Given Data Young Modulus, E=1.2*105 N/mm2 Modulus of rigidity, G=4.8*104 N/mm2

Q: A piece of aluminum is pulled in tension from its original length of 202 mm with a stress of 172…

Q: Please answer both 1 and 2 as they relate to eachother. thank you in advance

A: Write the properties of 1040 steel.

Q: Consider a cylindrical nickel wire 2.7 mm in diameter and 12 m long. Calculate its elongation when a…

A: Given Data Wire diameter, d=2.7 mm Length of the cylindrical nickel wire, L=12 m Load=930N Modulus…

Q: An alloy steel having a diameter of 0.45 in. extends 0.002 in. over a gage length of 2.2 in. due to…

Q: Draw a load vs. displacement curve as obtained from a homogeneous material using nanoindentation.…

A: Load vs Displacement curve-

Q: A steel rod, 2 m long and 20 mm × 20 mm in cross section, is subjected to a tensile force of 40 kN.…

A: Given, Length of the rod = L = 2 m = 2000 mm Cross sectional area = A = 20 mm x 20 mm = 400 mm2…

Q: (B) For a brass alloy, the stress at which plastic deformation begins is 350 MPa, and the modulus of…

Q: 27c) The Vickers hardness value of a material is 526.58 HV. What is its mean diagonal if the applied…

A: Given data: Hardness value HV=526.58 Applied load F=30 kgf Angle between edges θ=136°

Q: Coiled springs should be very strong and stiff.Silicon nitride(Si3N4) is a strong,stiff…

A: Springs are created from a variety of elastic materials, with spring steel being the most…

Q: To support a tensile load of 65 kN, a metallic rod with a circular cross section and a length of…

A: If two design criteria are given for a system, the design should be made on the criteria that give…

Q: A titanium alloy specimen with an elastic modulus of 107 GPa and 3.9 mm in original diameter will…

Q: the axial rigidity of steel bar of 1m length is 200 x 107 N, what will be the axial flexibility of…

Q: STRESS- $TRAIN DIACRAM FOR BRAS 2 MM - SQUARE 20 CM X 24 CM 40 S A

Q: For a brass alloy, the stress at which plastic deformation begins is 345 MPa, and the modulus of…

Q: In an experiment, a steel specimen of (15mm) diameter was found to elongate (0.3 mm) in a (250 mm)…

A: Given data:

Q: The young’s modulus of nickel is 209 gpa. Determine the length of the bar (in mm) when a force of…

Q: Consider a cylindrical titanium wire with crossectional area of 7 mm^2 and 2.5 x 104 mm long.…

A: Write the expression for elongation in the rod.

Q: Draw a graph showing the elasticity, flexibility, and brittleness property in terms of stress and…

Q: A 2000 kg load is applied to a steel bar of cross-sectional area 6 cm². When the same load is…

A: Load on steel bar and aluminum bar, M=2000 kgCross-sectional area of steel bar, As=6 cm2=6*10-4…

Q: A new high stiffness plastic material has a length of 19.7 inches and a thickness of 3 mm and is…

A: Given data:- Force F=10000N L=19.7 in, converting into mm we get L=500.38 mm Lfinal=19.88 in,…

Q: A cylindrical specimen of some metal alloy having an elastic modulus of 101 GPa and an original…

Q: A steel column is a cylinder 6.8 m long and 0.35 m in diameter. What is the change in length of the…

A: Cylinder length, L = 6.8 m Cylinder diameter, d = 0.35 m Tensile force, F = 3600 N The elastic…

Q: 2) For a brass alloy, the stress at which plastic deformation begins is 345 Mpa and the modulus of…

Q: A cylindrical rod of copper (E = 110 GPa) having a yield strength of 240 MPa is to be subjected to…

Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

A titanium tube with an outside diameter of 25 mm and inside diameter of 20 mm and a length
of 200 mm. When an elastic uniaxial tensile force of 30 kN is applied to this tube along its
length, what is the final length of that tube? (Modulus of elasticity of Titanium is 105 GPa)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Result

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

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

Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in ) that can be stored in each or the materials listed in the accompanying table, assuming that the material is stressed to the proportional limit. DATA FOR PROBLEM 2.7-5 Material Weight Density (lb/in3) Modulus of Elasticity (ksi) Proportional Limit (psi) Mild sleel 0.284 30,000 36,000 Tool steel 0.284 30,000 75,000 Aluminum 0.0984 10,500 60,000 Rubber (soft) 0.0405 0.300 300
A tensile force of 200 KN is applied on a 0.02-m diameter and.2-m long rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length increases to 2.01 m. Assuming no permanent deformation occurs in that material, the modulus of elasticity (GPa) is?
If the axial rigidity of steel bar of 1m length is 200 x 107 N, what will be the axial flexibility of the bar?
A titanium alloy specimen with an elastic modulus of 107 GPa and 3.9 mm in original diameter will experience elastic deformation when applied to a tensile load of 2695.2 N. Calculate the maximum length the specimen would reach if the maximum allowable elongation is 0.4 mm.
To support a tensile load of 65 kN, a metallic rod with a circular cross section and a length of 0.32 m will be used. It is desirable that the tension in the bar should not exceed 240 MPa and the maximum elongation should be 0.42 mm. What is the minimum rod diameter [m] in these conditions? Calculate. (For a metallic bar, take the elastic modulus as 220 GPa).
For a brass alloy, the stress at which plastic deformation begins is 345 MPa, and the modulus of elasticity is 103 GPa. Determine the following (a) What is the maximum load that may be applied to a specimen with a cross: sectional area of 130 mm2 without plastic deformation?(b) If the original specimen erngth is 76 mm, what is the maximum length to which it may be stretched without causing plastic deformation?
A copper alloy wire of 1.5 mm diameter and 30 m long is hanging freely from a tower. What will be its elongation due to self weight? Take specific weight of the copper and its modulus of elasticity as 89.2 kN/m' and 90 GPa respectively
To support a tensile load of 65 kN, a metallic rod with a cross-sectional area of Circle and a length of 0.32 m will be used. It is desirable that the voltage on the rod does not exceed 240 MPa, and the maximum extension is 0.42 mm. How many [m] should the minimum (minimum) Rod diameter be in these conditions? Calculate. (Take the elasticity module as 220 GPa for the metallic Rod).
For a brass alloy, the stress at which plastic deformationbegins is 345 MPa (50,000 psi), and themodulus of elasticity is 103 GPa (15.0 * 106 psi).
ASAP, answer the subquestions: a. A bar subjected to a stress of 1 GPa develops an elongation of 5mm. If the initial length of the bar is 1m, calculate the elastic modulus of the bar. b. The amount of strain energy per unit volume that a material can absorb without permanent deformation. c. What are the words to define the slope of the stress-strain diagram and the deformation per unit length?
(a) A 25 mm diameter bar is subjected to an axial tensile load of 100KN. Under the action of this load a 200 mm gauge length is found to extend 0.19 x 10-mm. Determine the modulus of elasticity for the bar material.
cylindrical bar of aluminum 20 mm in diameter is to be deformed elastically in tension. Aforce of 17,000 N. produces a reduction in specimen diameter of 3*10-3 mm if its elastic modulus is100 GPa. Draw the deformation situation and Compute Poisson’s ratio for this material if its elasticmodulus is 100 GPa?