PROBLEM 2: 1 m by 1 m steel plate of 0.1 m thick has initial temperature of To = 20 °C.. then side temperature changed to at x=0 m T₁ = 10 °C, at x=1 m T₂ = 10 °C, at y=0 m T₂ = 20 °C, and at y=1 m T₂ = 100 °C, Calculate wall temperature profile
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- THERMOMETRY. Show your solutions Convert 70oF to Kelvin Convert -228 K to FahrenheitGiven is a thin-walled tube with the following data: Wall thickness- 2mmABC is a sector with a radius of 50 mmAOD & COD is a triangleTorque is 1000 N.mLength of the thin walled tube is 0.5 mUse G=24 GPa for aluminium Determine the following:a. Enclosed Areab. Perimeter of the thin walled tubec. Shear flowd. Shear stresse. Angle of twistQ2: A brass rod of 4m length is fixed at both ends. Calculate the temperature through which the rod should be heated if the thermal stress is not to exceed 100 MPa. Take the coefficient of linear thermal expansion a=20x10-6/K and modulus of elasticity for brass equal to 90 GPa.
- A length of 18 mm diameter steel wire is coiled to a close helical spring having 9 coils of 72 mm mean diameter, and the spring has a stiffness k. If the same length of wire is coiled to 9 coilsof 54 mm mean diameter, then the spring suffness will beGiven is a thin-walled tube with the following data: Wall thickness- 2mm ABC is a sector with a radius of 50 mm AOD & COD is a triangle Torque is 1000 N.m Length of the thin walled tube is 0.5 m Use G=24 GPa for aluminium A 90° B T 0 R! C 3R D Determine the following: a. Enclosed Area b. Perimeter of the thin walled tube c. Shear flow d. Shear stress e. Angle of twistGiven is a thin-walled tube with the following data:Wall thickness- 3mmTorque is 900 N.mLength of the thin walled tube is 1.2 m.Use G=24 GPa for aluminium Determine the following:a. Enclosed Areab. Perimeter of the thin walled tubec. Shear flowd. Shear stresse. Angle of twist
- Q3: For sysem shown in Figure, Determine final temperature if R= 0297 KPam’ and cp = 1.04 Kikg:Difficulty (3/5) Dimensions: a b 44 in 0.033 in segure and-cap effects 1900 Problem Statement: A cylindrical pressure vessel with dimensions given carries an internal pressure of 21 psi. Find the axial stress and the hoop stress induced in the wall of the vessel Answers: Oheep" be sure to include units with your answersshows two tubes, one of copper and another of steel of equal length and rigidly connected at their ends so that under all conditions they are of equal length. The copper tube has internal and external diameters of 100 mm and 125 mm respectively whilst the internal and external diameters of the steel tube are 75 mm and 100 mm respectively. If the original length of the tubes was 375 mm, for a temperature rise of 22o C calculate: 1 The stress set up in each tube; 2 The final length of the tubes. Assume: α copper = 18,7 x 10-6/ 0 C; E copper = 82 GPa α steel = 12,6 x 10-6/ 0 C; E steel = 207 GPa
- H= 55mm A= 40mm R1 R2 B= 55mm C= 50mm R1=13mm H P=2000 N R2= 15mm A B Figure QI: A rectangular plate with holesPipe Pa Fluid Rigid rock Figure 1: A pipe embedded in rigid rock. Consider an isotropic linear elastic pipe of inner radius a and outer radius b embedded in rigid (i.e., non-deforming) material and holding a fluid at pressure Pa. Ignore the effects of gravity. This may be a good model for a PVC pipe embedded in rock or concrete. Assume the problem is symmetric and that strains out of the plane shown in Fig. 1are zero. (a) What state of strain exists in the pipe, plane strain or plane stress? (b) Determine the stress components, orr and σ00, and displacements, ur, in the pipe. (c) Is the stress difference orr - 000| greatest at r=a or r = b? Note: the location of the greatest stress difference is where plasticity will occur first (to be covered later in class).A closed thin walled cylindrical vessel has a diameter D of 780 mm, a wall thickness t of 3.5 mm and length L of 950 mm. It is subject to an internal pressure P of 50.0 MPa. Assuming that Youngs modulus is 200 GN/m² and Poisson's ratio is 0.3, calculate the change in length of the vessel due to the internal pressure. Give your answer in mm to 3 significant figures. 00 P D 00 $ de OL 4