3. Three bars each made from different materials are placed between walls when the temperature is14°C. Determine the support reaction when the temperature becomes 19°C. The material properties aregiven in the figure.Answer: R = 3502.30 NSteelBrassCopperEbr 100 GPaEcu = 120 GPaEst=200 GPaast = 12(10-6)/°Cabr = 21(106)/Cacu = 17(10-6)/°CAcu = 515 mm²|Ast = 200 mm² Abr= 450 mm²-300 mm-200 mm-100 mm4. The rigid slab is supported by two identical copper rods as shown. The copper rod has an area of 500mm² with a = 16.8 μm/ (m°C) and E = 120 GPa. There is a gap of 0.18 mm between the slab and thealuminum rod. The aluminum rod has an area of 400 mm² with a = 23.1 μm/ ( mºC) and E = 70 GPa.Compute the stress developed in each rod when the temperature is raised to 85°C. Assume that theweight of the slab is negligible.Answer: OAI = 16.80 MPa85→TAΔCopperAluminumCopper750 mm-

Answered: Image /qna-images/answer/e3a3166a-d9e7-41cd-ada6-ff319d18e965.jpg

3. Three bars each made from different materials are placed between walls when the temperature is 14°C. Determine the support reaction when the temperature becomes 19°C. The material properties are given in the figure. Answer: R = 3502.30 N Steel Brass Copper Ecu 120 GPa Est = 200 GPa ast=12(106)/°C Ebr = 100 GPa abr 21(106)/C = au = 17(10-6)/°C Acu = 515 mm² |Ast = 200 mm² Abr 450 mm² -300 mm- 100 mm -200 mm-

3. Three bars each made from different materials are placed between walls when the temperature is 14°C. Determine the support reaction when the temperature becomes 19°C. The material properties are given in the figure. Answer: R = 3502.30 N Steel Brass Copper Ecu 120 GPa Est = 200 GPa ast=12(106)/°C Ebr = 100 GPa abr 21(106)/C = au = 17(10-6)/°C Acu = 515 mm² |Ast = 200 mm² Abr 450 mm² -300 mm- 100 mm -200 mm-

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...

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The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
PLEASE ANSWER ASAP TY! The two bars (1) and (2) are made of the aluminum with E = 70 GPa, has the same cross section of 100 mm x 20 mm, and supported by rigid supports at A and C. The coefficient of thermal expansion of the material is 23 x 10–6/oC. At T = 25oC, the two bars have a gap of 5 mm as shown. a) What is the reaction force (in KN) at fixed support A when the temperature is 100oC? b) What is the reaction force (in KN) at fixed support C when the temperature is 100oC? c) What is the stress (in MPa) in bar (1) when the temperature is 100oC? d) What is the stress (in MPa) in bar (2) when the temperature is 100oC?
Four steel bars jointly support a mass of 25 x 103 kg. Initially the temperature is 250C. Bars A and D have a cross-sectional area of 480 mm2. For bars B and C, the cross-sectional area is 360 mm2. Determine the elongation of bar A when the temperature becomes 600C. Also, find the axial stress developed in bar C. Use E = 200 GPa and α = 11.7 x 10-6 m/ (m0C). (Please provide detailed solution with FBD thank you) δA = ? mm σC = ? MPa
An engineering machine component operating in a high temperature environment consists of a copper pipe having a cross-sectional area of 2 000 mm2 and 0.3 m long, which is placed between two rigid caps. Four M22 steel bolts are symmetrically arranged around the tube and parallel to the axis of the tube and are lightly tightened. 3.1 Find the stress in the pipe and the bolts if the temperature of the assembly is increased from 25 0C to 95 0C. 3.2 What load will each bolt carry at the raised temperature? 3.3 Make a neat sketch of the assembly. (ESt = 200 GPa, ECu = 100 GPa, αSt = 12 × 10-6/ oC, αCu = 16 × 10-6/ oC)
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The rigid bar ABC is supported by a hinge at B and two vertical steel rods at A and C as shown in Figure. Initially, the bar is horizontal, and the rods are stress-free. The coefficient of thermal contraction, α is 11.7x10-6 /oC and modulus of elasticity, E = 200 GPa for steel. If the temperature of the steel rod at A is decreased by 35oC while the temperature of steel rod at C remains constant, determine : The stress in the steel rod at A (in MPa). The stress in the steel rod at C (in MPa). The deformation of the steel rod at C. Include negative sign if contraction (in mm, in 3 decimal places). The deformation of the steel rod at A. Include a negative sign if contraction (in mm, in 3 decimal places)
Three bars each made of different materials are connected together and placed between two walls when the temperature is 7, 12°C. Determine the force exerted on the (rigid) supports when the temperature becomes T 18 C. The material properties and cross-sectional area of each bar are given in the figure.
A 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!