steel A aluminum 2 m- B 2m 9 m bronze C 3 m The assembly shown consists of a steel cylinder (E = 200 GPa, A = 150 mm2,= 12 um/m °C), an aluminum alloy cylinder (E = 70 GPa, A = 230 mm2, = 23 μm/m °C), and a hollow bronze tube (E = 100 GPa, A = 190 mm2, = 18 um/m °C) welded to the rigid bar at points A, B, and C, respectively. Initially, the system is stress-free. When the assembly is heated by 45°C, determine the normal stress (in MPa) in the bronze tube and the horizontal distance (in m) with reference to point A where the rigid bar tilts. Neglect the weight of the members. The answer should be: Obr= 8.9507 MPa, C, d= 4.6625 m

steel A aluminum 2 m- B 2m 9 m bronze C 3 m The assembly shown consists of a steel cylinder (E = 200 GPa, A = 150 mm2,= 12 um/m °C), an aluminum alloy cylinder (E = 70 GPa, A = 230 mm2, = 23 μm/m °C), and a hollow bronze tube (E = 100 GPa, A = 190 mm2, = 18 um/m °C) welded to the rigid bar at points A, B, and C, respectively. Initially, the system is stress-free. When the assembly is heated by 45°C, determine the normal stress (in MPa) in the bronze tube and the horizontal distance (in m) with reference to point A where the rigid bar tilts. Neglect the weight of the members. The answer should be: Obr= 8.9507 MPa, C, d= 4.6625 m

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter8: Engineering Materials

Section: Chapter Questions

Problem 8.2P

See similar textbooks

Similar questions

Another of the steel components manufactured by michael's company is steel railway track sections. Thecomponent has a length of 120m (at a temperature of -10°C) and is to be exposed to a temperaturerange of -10°C to 55°C. In order to calculate the gaps which need to be left between the sections michael'scustomer needs to determine the maximum length which each railway track section will expand to andmichael have been asked to carry out the calculation for them. michael have also been instructed to determinethe percentage change in volume and surface area when exposed to the same initial and finaltemperatures. The customer has informed him that the cross sectional profile of the railway track isrectangular and of breadth 14cm and height 32cm. Assume the coefficient of thermal expansion ofsteel is 12x10-6 /°C. Briefly discuss the changes that occur with in the steel as a result of the change intemperature.
Steel, Brass, and Copper rods are connected as shown in the figure. Initially, the temperature was 15 degrees Celsius and the stress on the bars is zero. Eventually, the temperature increased to 25 degrees Celsius. Determine the total deformation on the brass. Steel Brass Copper Est = 200 GPa 12(10-)/°C apr Ebr Ecu 17(10-)/°C 120 GPa 100 GPa %3D ast = 21(10-6)/°C acu Acu = 515 mm? |Ast 200 mm2 Abr = 450 mm2 300 mm -200 mm 100 mm O -0.0109mm O 0.0241mm O -0.0241mm O 0.0109mm oooO
The rigid block of mass M is supported by the three symmetrically placed rods. The ends of the rods were level before the block was attached. Determine the largest allowable value of M if the properties of the rods are as listed (ow is the working stress): Element E (GPa) A (mm²) ow (MPa) Copper 120 900 70 Steel 200 1200 140
A2m rigid bar is carried by three rods as shown. The mechanism is arranged such that it is symmetrical. Refer to the table for the properties of each material. Steel Bronze Allowable stress 140 MPa 120 MPa Modulus of Elasticity 200 GPa 83 GPa Area, A 400 mm2 900 mm2 Length, L 1000 mm Steel Bronze Bronze A
At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 12.5 x 10-6/°F] bar with a width of 3.0 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 9.6 x 10-6/°F] bar with a width of 2.0 in. and a thickness of 0.75 in. The supports at A and C are rigid. Determine (a) the lowest temperature at which the two bars contact each other. (b) the normal stress in the two bars at a temperature of 250°F. (c) the normal strain in the two bars at 250°F. (d) the change in width of the aluminum bar at a temperature of 250°F. (1) 3.0 in. 32 in. 2.0 in. B ↓ (2) 44 in. 0.04-in. gap Determine the lowest temperature, Tcontact, at which the two bars contact each other.
Aluniman phutan (E - 70 CP Problem # 2: A force P = 500 kN is applied to the aluminum and brass block as shown by means of a rigid end plate. If the value of h = 10 mm, and assumne that the force P is a centric axial load. Determine the TA m a) normal stress in the brass core, b) displacement of the end plate. Problem # 3:
The length of the assembly shown below decreases by 0.5 mm when an axial force is applied by means of rigid end plates. Determine (a) the magnitude of the applied force, (b) the corresponding stress in the brass core. 25 mm Brass core E = 105 GPa Aluminium shell E-70 GPa 300 mm 60 mm
Steel, Brass, and Copper rods are connected as shown in the figure. Initially, the temperature was 15 degrees Celsius and the stress on the bars is zero. Eventually, the temperature increased to 25 degrees Celsius. Determine the total deformation on the steel. Steel Brass Copper Est = 200 GPa Ebr = 100 GPa Ecu = 120 GPa %3D ast = 12(10-6)/°C abr = 21(10¬6)/°C acu = 17(10-)/°C %3D Acu = 515 mm² |Ast = 200 mm? Abr = 450 mm² %3D 300 mm- 200 mm 100 mm O -0.0058mm O 0.0165mm O -0.0165mm O 0.0058mm
For the two element rod shown, element (1) is steel with: E₁ = 210 GPa, A₁ = 1000 mm², L₁= 2 m, and coefficient of thermal expansion, a₁ = 12X106/°C. Element (2) is a titanium alloy with E2 = 120 GPa, A2 = 1500 mm², L2 = 1.5 m, and coefficient of thermal expansion, a₂ = 8X10-6/°C. a) Determine the axial stress ₁ and ₂ in the two rods if the temperature in both is increased by 100°C. b) Determine the deflection of point B following the temperature increase. A₁, E₁, 0₁ L₁ B UB A2, E2, 02 -L₂
98) What is another name for austenitic stainless steels?A) p91 steelsB) 18-8 steelsC) p92 steelsD) o1 steelsE) h11 steels 99) which is more important for assembly than its values?A) yield strengthB) hardnessC) sizeD) elastic modulusE) wear behavior 100) which is not one of the general properties shown by almost every metal?A) satietyB) high hardness and strengthC) good wear resistanceD) good thermal conductivityE) good electrical conductivity
The picture below Consist a brass ( EB = 100 Gla and AB and a Aluminum [ EA₁ = 73GPa | AA! each red exists a non- deformable rigid plate. The rods are stress free at 25°C. If the coefficient of thermal expansion for staat is taken 13.106 [m/m°c ] of a steel (E₂ -200CHPA and As = 1500mm ² = 2000 mind) JAT aluminiscent 2 = 1500 mm ² ) kod between at ds and temperature increased to up re increased to 350°C. A steel Find reactionary forces at A_and_D_ Considering RA = Rai and Rp = - Rp₁" ? Also find the deflection of plate B. 1.5 m a 18 = 19,10`6 [m/m="c] α = 24,10 € AL B Brass Im t D Aluminum 1.5m [m/m="c} Fant Fall = $6
At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 13.4 x 10-6/°F] bar with a width of 3 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 10.1 x 10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and Care rigid. Determine the lowest temperature at which the two bars contact each other. (1) ↑ 3 in. 32 in. O 75.9°F O 146.5°F O 105.8°F O 122.3°F O 111.3°F 2 in. (2) 44 in. -0.04-in. gap