Please help me solve part Aand part B please circle only the final answers with the correct units for part a and part B Learning Goal:To solve for thermal stresses in statically indeterminate bars subject to atemperature change.The round bar shown (Figure 1) has a diameter of 7.4 cm and a length of 11 m. The modulus of elasticity is E- 130 GPa and the linear coefficient of thermal expansion is 1.4x10-KMost materials change in size when subjected to a temperature change. For atemperature change of a homogenous isotropic material, the change in length of abar of length L due to a temperature change AT can be calculated asốr = QATL, where a is the linear coefficient of thermal expansion-a property ofthe material the bar is made from.Part A- Calculate thermal stressFor a member that is not constrained, this expansion can occur freely. However, ifthe member is statically indeterminate, the deflection is constrained. Thus, changesin temperature will induce internal thermal stresses. The compatibility condition isthat the changes in length due to the temperature change and to the induced stressIf the bar originally has no internal normal forces and the temperature decreases by AT = 34 K, what is the thermal stress developed in the bar?Express your answer with appropriate units to three significant figures.NLwith N being theAEmust cancel each other out, &r + 8p = 0, where 6p =• View Available Hint(s)induced internal normal force, positive for tension.?ValueUnitsSubmit• Part B - Multiple materialsThe right half of the bar from Part A is replaced with a material that has az = 4x1081- but the same modulus of elasticity (Figure 2). What is the thermal stress developed for the entire bar when thetemperature decreases by AT - 34 K from a temperature where there is no stress in the bar?Express your answer with appropriate units to three significant figures.• View Available Hint(s)HÀ?Figure1 of 2 >o= ValueUnitsABSubmitProvide FeedbackNext >

Answered: Image /qna-images/answer/2b0970c4-6235-41b6-be4b-cc4e67032735.jpg

1 The round bar shown (Figure 1) has a diameter of 7.4 cm and a length of 11 m. The modulus of elasticity is E= 130 GPa and the inear coefficient of thermal expansion is 1.4x10-5. K Part A- Calculate thermal stress If the bar originally has no internal normal forces and the temperature decreases by AT = 34 K , what is the thermal stress developed in the bar? Express your answer with appropriate units to three significant figures. • View Available Hint(s) ? o- Value Units Submit Part B - Multiple materials The right half of the bar from Part A is replaced with a material that has ag - 4x10 y but the same modulus of elasticity (Figure 2). What is the thermal stress developed for the entire bar when the temperature decreases by AT - 34 K from a temperature where there is no stress in the bar? Express your answer with appropriate units to three significant figures. • View Available Hint(«) ? Value Units Submit Provide Feedback Next >

1 The round bar shown (Figure 1) has a diameter of 7.4 cm and a length of 11 m. The modulus of elasticity is E= 130 GPa and the inear coefficient of thermal expansion is 1.4x10-5. K Part A- Calculate thermal stress If the bar originally has no internal normal forces and the temperature decreases by AT = 34 K , what is the thermal stress developed in the bar? Express your answer with appropriate units to three significant figures. • View Available Hint(s) ? o- Value Units Submit Part B - Multiple materials The right half of the bar from Part A is replaced with a material that has ag - 4x10 y but the same modulus of elasticity (Figure 2). What is the thermal stress developed for the entire bar when the temperature decreases by AT - 34 K from a temperature where there is no stress in the bar? Express your answer with appropriate units to three significant figures. • View Available Hint(«) ? Value Units Submit Provide Feedback Next >

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.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.26P

See similar textbooks

Similar questions

(a) A circular copper ring at 24.0°C has a hole with an area of 9.97 cm2. What minimum temperature must it have so that it can be slipped onto a steel metal rod having a cross-sectional area of 10.0 cm2?_______ °C(b) Suppose the ring and the rod are heated simultaneously. What change in temperature of both will allow the ring to be slipped onto the end of the rod? (Assume no significant change in the coefficients of linear expansion over this temperature range.)________ °C
differential equation A metal bar is placed in a room at constant temperature of 0°C. If after 25 mins the temperature of bar drops from 120°C to 55°C, find how many minutes the metal bar will continue to cool from 55°C to 50°C.
solve step by step and correctly. A family enters a winter vacation cabin has been unheated for such a long time the interior temperature is the same as the outside temperature (00C). The cabin consists of a single room of floor area 4m by 4m and height 3m. The room contains one 2kW electric heater. Assuming that the room is perfectly airtight and that all the heat from the electric heater is absorbed by the air, none escaping through the walls or being absorbed by the furnishing, how long after the heater is turned on will the temperature reach the comfort level of 240C.
Hello, can you help me solve this problen with complete solution and illustration? * Your client asks yoy to construct a mobile accent for his house. You use an iron wite, 0.75m long and 2.75x10^-3 cm^2 in cross-sectional area and hang a brass cube of mass 8kg on one end. On the bottom of the brass cube, you attach a similar iron wire and hang another brass cube of mass 7.5kg. If young’s modulus elasticity for iron is 21x10^10Pa and that the weight of the iton wires is neglected. For the wire above, determine; A. Tensile stress B. Tensile strain C. Elongation
****I hope that the solution is written on the computer and not written so that I can transfer it and understand it more quickly A composite wall of a refrigerator consists of three different materials; A, B, and C. Two of the used materials have known thermal conductivity, kA = 30 W/m. K and kC=45 W/m. K, and known thickness, LA=0.20 m and LC = 0.15 m. The third material, B, which is sandwiched between materials A and C, is of known thickness, LB = 0.15 m, but unknown thermal conductivity kB. Under steady-state operating conditions, measurements reveal an outer surface temperature of Ts,o = 20°C, an inner surface temperature of Ts,i = 600°C, and a refrigerator air temperature of T∞ = 800°C. The inside convection coefficient h is known to be 25 W/m2.K. (a) First, draw the thermal circuit for this wall. (b) What is the value of thermal conductivity for material B?
For aesthetic purposes, you are to fit a metal rod into a stainless-steel hole for your house's design. The hole is 9.988 mm in diameter. If the rod is to be heated so that it will fit into the hole, what will be the temperature in °C? Assume: Your house's temperature is 25°C The length of the rod is around 10 mm. Linear coefficient of the metal rod is 4.5×10-6°C and for the stainless steel is 16×10-6°C
Completely solve and box the final answer. Write legibly 4. Compute the heat conducted in KW through a sheet of plate glass, k = 0.025 Cal/s-cm-ºC, which is 3.5 m x 4.8 m and 12.5mm thick. The temperature of the surfaces are 28ºC and negative 5.4ºC.
A solid steel cube is stored in a freezer, where the temperature is −20.0 ̊C. While the cube is in the freezer, you measure its side length (L) to be 1.75050 meters. The cube is then placed outside for a long time, so that the temperature of the cube reaches the temperature of the air outside. As a result, the side length increases to 1.75170 meters due to thermal expansion. The coefficient of linear expansion for steel is 12.0×10−6 ̊C−1. (a) What is the temperature of the air outside? Give your answer in degrees Celsius ( ̊C). (b) What is the volume of the cube when its temperature is 20.0 ̊C? Give your answer in cubic meters (m3).
The composite wall of an oven consists of three materials, two of which are of knownthermal conductivity, kA = 20 W/m – K and kC = 50 W/m – K, and known thickness, LA =0.30 m and LC = 0.15 m. The third material, B, which is sandwiched between materialsA and C, is of known thickness, LB = 0.15 m, but unknown thermal conductivity kB.Under steady – state operating conditions, measurements reveal an outer surfacetemperature of 600 oC, and an oven air temperature of 800 oC. The inside convectioncoefficient h is known to be 25 W/m2 – K. total rate of heat transfer = 550 W/m2.What is the value of kB?
(Solid Mechanics) This finite element model is composed of 4 linear bar elements, each with a cross section of 10 mm² and material properties (E = 6 GPa, v=0.3). A weight of 200 N is applied and the nodes are named as shown below. (1) Compute the reaction forces. (2) What are the reaction forces when the weight is tripled to be 600 N? Find the solution without repeating the FEA. Explain why you can get the quick answer.
A planar 9-node quadrilateral element, used for the solution of an elasticity problem, has the following Degrees of Freedom per node (consider an xy-plane for the definition of the Degrees of Freedom) (select all applicable answers): Translational Degree of Freedom in the x-direction Translational Degree of Freedom in the y-direction Translational Degree of Freedom in the z-direction Rotational Degree of Freedom about the x-direction Rotational Degree of Freedom about the y-direction Rotational Degree of Freedom about the z-direction
A hollow infinite cylinder has internal radius 0.5 and exterior radius 2.0. The external surface is maintained at 0°C and the internal surface at 100°C. Initially the cylinder has a uniform temperature of 15°C and it is required to compute the distribution of temperature across the radius as time progresses. Use an explicit method with a suitable time step to compute the temperature for r = 0.5(0.25)2.0 for the first few time steps.