Answered: 7) A copper rod is 8m long at 20°C and…

7) A copper rod is 8m long at 20°C and has a coefficient of linear expansion a = 17 x 10-6 (C°)-!. What is the increase in the rod's length when it is heated to 40 °C?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter3: Transient Heat Conduction

Section: Chapter Questions

Problem 3.2P: 3.2 High-strength steel is required for use in building structures and equipment (e.g., cranes). It...

See similar textbooks

Related questions

Q: A thin steel tire is shrunk on to a locomotive wheel of 1.2 m diameter. Find the internal diameter…

A: GIVEN DATA DIAMETER D=1.2m =1200mm HOOP STRESS =100MPa E=200KN/mm2 α=6.5*10-6/'C We have to find…

Q: A round billet made of copper was extruded at a temperature of 500C0 the billet diameter was 100 mm,…

A: Extrusion ratio is defined as the cross sectional area of billet before extrusion to the cross…

Q: Given: A ground steel rod with known diameter d is operating at temperature T. You are designing…

Q: A steel rod 20 m long is at a temperature of 20°C. If temperature is raised by 60°C, then the free…

Q: Q4/ A plastic rod with length and radius of 300 mm and 30 mm, respectively. If an axial force of 400…

A: Given Data Length of the plastic rod, L=300mm The radius of the plastic rod, r=30mm The diameter of…

Q: At a temperature of 15˚C, a steel bar just fits between two rigid supports. Its length is L = 5 m,…

Q: A 500N force is applied on a rod of length 10 m, cross sectional area 2 mm^2, and Young's modulus 5…

A: Given data, P= 500 N L= 10 m=10000 mm Area =A= 2 mm² E= 5*10¹⁰ N/m² = 50000 N/mm²

Q: A brass rod is stress free at room temperature (20 Deg. C) It is then heated up, but prevented from…

A: Given, Stress, σ=-172MPaModulus of elasticity, E= 100GPaLinear coefficient of thermal…

Q: Two exactly similar wires, one of steel and the other of copper, are stretched by equal force. if…

Q: 4- The following strength data were collected for silicon nitride ceramic (Si3N4). Calculate the…

A: Given : To find : Weibull modulus

Q: 2) A 1 in Dia x 3 in long mild steel hammer head is to be heat treated for surface hardening. If the…

Q: A metal rod, made from metal 1, with a length of 28.0 cm expands by 6.80x10 2 cm when its…

A: Solution:

Q: Consider a plate formed by a non-homogeneous material with Young's modulus E(z) = Eo-zE1, with Eo,…

A: Given that: Young's modulus of plate EPoisson's ratio νν=-εlateralεlongitudnlThickness of the plate…

Q: A rectangular plate, 30mm by 60 mm is subjected to a tensile force of 5kN in the direction of the…

A: GIVEN DATA- w=30mm d=60mm Diameter D=15mm Load F=5KN Maximum stress =80 N/mm2 Stress concentration…

Q: 4- The following strength data were collected for silicon nitride ceramic (Sİ3N4). Calculate the…

Q: 8. A steel tube is restrained between two rigid walls 80 cm apart. At a temperature of 34°C, the…

A: Given:T1=34°CT2=28°Cd=25 mmt=1.5 mmα=11.7*10-6 m/m.°CE=200 GPa

Q: If lengths of rail track are laid down in cold weather, they may deform as they expand when the…

Q: 5. The coefficient of linear expansion of steel is 12 x 10-/C°. A railroad track is made of…

Q: A brass alloy is known to have a yield strength of 275 MPa (40,000 psi), a tensile strength of 380…

A: Given, Yield strength = 275MPa Tensile strength = 380MPa Elastic modulus = 103GPa Diameter of the…

Q: Example 2 Two spheres are pressed against each other by an external force. The diameter of the…

A: Poisson's RatioWhen a piece of elastic is in its unique shape which is a cuboid and is pulled along…

Q: The HB number associated with a tensile strength of 245,000 psi is ____________ HB

A: The relationship between the tensile strength of Brinell's hardness number (BHN) is given as,…

Q: 2. A brass ring of diameter 10.00 cm at 20.0°C is heated and slipped over an aluminum rod of…

A: Solution:

Q: 4 A rectangular steel beam is held between two rigid, unyielding walls 2.25 m apart. The modulus of…

A: Length between walls, L=2.25 mE=210 GPaCoefficient of thermal expansion, α=11.7×10-6 /oCArea of…

Q: A steel rod with a cross-sectional area of 199 mm2 is stretched between two fixed points. The…

Q: Question The bronze bar 3 m long with a cross-sectional area of 430 mm2 is placed between two rigid…

Q: Find the total toughness energy for a metal that experiences both elastic and plastic deformations.…

A: modulus of elasticity = 107.2 GPa neT = 1.66xK K = 1453 MPa N= 0.175 Strain values range from…

Q: Find the total elongation

Q: 3. Refer to the graph below, a. Which material is stronger? Why? 400 350 300 Steel 250 200 Aluminium…

A: a) The material which has greater yield strength or which require more stress to cause the plastic…

Q: A rectangular steel beam is held between two rigid, unyielding walls 2.25 m apart. The modulus of…

A: Given that, Modulus of elasticity of the stool(E) =210GP Coefficient of thermal expansion(α)…

Q: 316L Base Material Engineering Stress Strain vs Temperature 160 140 120 100 80 60 Temperature (F) 40…

A: (1) Is the material is ductile or brittle? explain by using information from the graphs?…

Q: : THEORY OF STRUCTURES : STIFFNESS FACTOR METHOD PAGE 1 / 3 NAME : 1 PROBLEM 20KN 40kN

Q: 3. For a steel alloy, the stress-strain behaviour is shown below. Determine the modulus of…

A: To find: The modulus of elasticity, proportional limit, yield strength at 0.002 and maximum…

Q: A copper rod 6cm in diameter is placed within a steel tube, 8cm external diameter and 6cm internal…

A: Given Data The diameter of the solid copper bar is: Dcu=6 cm=60 mm The external diameter of the…

Q: 5) A 12 mm diameter bar of steel 15 m length at 20°C is subjected to rise in temperature of 180°C.…

A: Given Data Diameter of bar is : d=12 mm Length of bar is : L=15 m=15000 mm Initial temperature is…

Q: Problem 3. The following two questions relate to residual stress. (1) Explain why thermally grown…

A: Note: Since you have posted multiple independent questions in the same request, we will solve the…

Q: 4. A 200 x 100 x 50 mm steel block is subjected to a hydrostatic pressure of 15 MPa. The Young's…

A: Given data, Volume of the steel block, V=200×100×50 mm3 Hydrostatic pressure, P = 15 MPa Young's…

Q: A copper tubing is 60 m long at 0. What is its increase in length when heated to 100? Coefficient of…

Q: A sample of copper, the original sample diameter do is 6.06mm, the df diameter is 4.37mm, the…

A: Strain Stress 0.323 68.941 0.748 197.477 1.464 267.661 2.759 273.076 3.577 278.283 5.01…

Q: 1.56. The following data are obtained in tension tests of brass: Grain size Yield strength (µm) 30…

Q: The creep data have been taken on an ahuminum alloy at 400°C and constant stress of 25MPA are shown…

A: Draw the plot of the time and strain from the table.

Q: Strength of Materials Dr. Maad Abdullah Hussein AL-ESRAA UNIVERSITY COLLEGE 8. BRINELL TEST Material…

Q: A metal rod 30 cm long expands by 0.075 cm when its temperature is raised from 0°C to 100°C. A rod…

A: According to given conditionThe third rod is made with the composition of first and second rodThus…

Q: A steel bar of 50mm wide, 12mm thick and 300mm long is subjected to an axial pull of 84KN. Find the…

Q: b) What is the final length of a 2 m long bar of copper, 0.01 m in diameter, stressed by a 500 kg…

Q: Question 1. A rod is 3 m long at a temperature of 15°C. Find the expansion of the rod, when the…

Q: Q4/ A plastic rod with length and radius of 300 mm and 30 mm, respectively. If an axial force of 400…

Q: A tensile test is conducted on a mild steel bar. The following data was obtained from the test :…

A: Given that, Diameter of steel bar, d=3 cm,Gauge length of the bare, L=20 cm,Load at elastic limit,…

Q: = 0.3.

A: Data we have width b = 3m . thickness d = 5mm 6 y =22OMPa . E=200GPa. v = 0.3 ⇒ Maximum…

Q: A rock 10 cm long and 2 cm^2 in cross section lows 0.0080cm/sec of 2.5 cp oil under a 1.5 atm…

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

(7) A copper rod is 8 m long at 20°C and has a coefficient of linear expansion
a = 17 x 10-6 (C°)-!. What is the increase in the rod's length when it is heated
to 40 °C?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 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

A 30.14 g stainless steel ball bearing at 117.82°C is placed in a constant-pressure calorimeter containing 120 mL of water at 18.44°C. If the specific heat of the ball bearing is 0.474 J/g-°C, calculate the final temperature of the water. Assume the calorimeter to have negligible heat capacity. Specific heat of water is 4.184 J/g-°C .
A copper rod and a steel rod are different in length by 5.00 cm at 0°C. The rods are warmed and cooled together. (a) Is it possible that the length difference remains constant at all temperatures? Explain. (b) If so, describe the lengths at 0°C as precisely as you can. Can you tell which rod is longer? Can you tell the lengths of the rods?
To ensure a tight fit, the aluminum rivet used in airplane construction are made slightly larger than the rivet holes and cooled by dry ice (solid CO2) before being driven. If the diameter of a hole is 0.500 cm, what should be the diameter of a rive at 20 degree Celsius if its diameter is equal that of a hole when the rivet is cooled to -78 degree Celsius, the temperature of dry ice? Assume the coefficient of expansion to remain constant. (Given and solutions)
A long rectangular steel bar (10cm x 5 cm) is kept in an environment such that two 10cm faces are maintained at 30 ⁰C, one 5cm face is at 30 ⁰C and other is at 130 ⁰C. The steady state temperature along the center line of the bar is ?
Determine the thermal shock resistance for a tool steel with the following properties: tensile strength σ = 2000MPa, thermal conductivity k = 51.9 W/m℃, elastic modulus E = 200 000 MPa, and thermal expansion coefficient α = 12.1m/m℃.
Thermal conductivity for pure aluminum: kal = 238 W/m⋅K ; Thermal conductivity for glass: kgl = 1.4 W/m⋅K.
8 mm diameter carbon steel (ρ = 7833 kg / m3, k = 54 W / (m K), Cp = 0.466 kJ / (kg K)) ball-shaped balls at 35°C with a temperature of 900°C for annealing heat treatment put in the oven. During this heating process, the coefficient of convection is 40 W / (m2K). The balls are wanted to be brought to a temperature of about 900°C in this oven. When the balls reach 899°C, the heating process is considered sufficient and taken from the oven. a) Find the time required for the balls to reach 899°C. b) After the balls are taken out of the oven, they are left in the ambient temperature and cooled to 100°C. Find the heat released by a ball during this cooling process.
Consider you have four long, 2 cm diameter rods, one each made of copper, steel, wood, and glass. They are to be cooled from a high temperature for 10 minutes. If you want to describe how the temperature changes with time, what approach is best for each of these rods. Balance solution accuracy against efficiency and justify with rules of thumb given
How long must a 0.4 cm cylindrical copper fin be if the temperature of its insulated tip exceeds thesurrounding air temperature by 20% of T0 – T∞? Consider air temp to be 20°C and ℎ̅ = 28 W/m2K. Book gives answerof 27.3 cm.• You can use figure 4.9a or equation 4.45 in the book to find the right mL for the desired  at the tip. • Recall the nondimensional temperature is  = (T – T∞)/(T0 – T∞)
Glass tends to break under high temperatures due to thermal shock which is caused by a high temperature. A sample of glass is said to breakat190C.Ifaglasspanethatis1sqmand5cmthickwith1 ? ?−°C is subject to a heat of 1 kW, is this enough to reach the temperature limit to break the glass? The cool side of the pane has a temperature of 30C.
Which spring, the truncated cone spring or the helical spring, would have a larger spring constant? Explain.
3.2 High-strength steel is required for use in building structures and equipment (e.g., cranes). It is produced by heat treating quench-hardened steel in a process called tempering that reduces brittleness and imparts toughness. In a production facility, alloy steel plates (k = 50 W/m K, c = 460 J/kg K, and ρ = 7865 kg/m3) of thickness 3.0 cm have to be tempered in a convective oven by heating them to 550°C. If the plates are initially at 40°C and the air inside the heat treating oven is at 700°C with a convective heat transfer coefficient of 45 W/m2 K, determine how long the plate has to remain in the oven.