Question 3 (a) One end of a wire of length L and diameter d is attached to a high ceiling. The wire hangs vertically under its own weight. Under these conditions: (i) Calculate the highest stress in the wire (ii) Calculate the elongation of the wire (b) If the wire is now laying horizontally on a smooth surface and attached to a wall at one end, what force must be applied to the other end of the wire for the elongation to be the same as in part (a). Assume the following properties for the wire: E=29 x 10° psi, d=0.50 in, L=60 ft and specific

Question 3 (a) One end of a wire of length L and diameter d is attached to a high ceiling. The wire hangs vertically under its own weight. Under these conditions: (i) Calculate the highest stress in the wire (ii) Calculate the elongation of the wire (b) If the wire is now laying horizontally on a smooth surface and attached to a wall at one end, what force must be applied to the other end of the wire for the elongation to be the same as in part (a). Assume the following properties for the wire: E=29 x 10° psi, d=0.50 in, L=60 ft and specific

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

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A cylindrical pressure vessel is made by shrinking a brass shell over a mild steel shell. Both cylinders have a wall thickness of 6 mm. The nominal diameter of the vessel is 750 mm and is to be used in all calculations involving the diameter. When the brass cylinder is heated 50°C above room temperature, it exactly fits over the steel cylinder which is at room temperature. What is the stress in the brass cylinder when the composite vessels cool to room temperature? E for steel=200 GPA E for brass = 100 GPA a for steel = 12 x 10"/C a for brass = 19 x 106/°C Wrong answers will be downvoted
A copper tube having a cross-sectional area of 2 000 mm2 and a length of 300mm is placed between two rigid caps. Four 22-mm-diameter steel bolts aresymmetrically arranged parallel to the axis of the tube and are lightly fastened.Find the stress in the tube if the temperature of the assembly is raisedby 70 °C. What load will each bolt carry at the raised temperature? (Let EST =200 GPa; Ecu = 100 GPa; aST = 12 x 10"6/oC; ac u = 16 x 10-6/°C.)
12. A composite bar made up of aluminium bar and steel bar, is firmly held between two unyielding supports as shown in Fig. 4.22. B Steel A Aluminium 200 kN -- 1000 mm² 1500 mm? E 100 mm- - 150 mm Fig. 4.22 An axial load of 200 kN is applied at B at 47°C. Find the stresses in each material, when the temperature is 97°C. Take E, = 70 GPa ; E, = 210 GPa ; a, = 24 x 106°C and a, = 12 x 10/°C. [Ans. 60.3 MPa; 173.5 МPа]|
3. A steel rod of 3 cm diameter and 5 m length is connected to two grips and the rod is held at a temperature of 95 °C. Determine the stress in the rod, and the force in the rod if the temperature drops to 30 °C for the following cases a. The grip ends do not yield b. The grip ends yield by 0.12 cm Assume the Young's Modulus of the rod is E = 2×105 MPa, and the CTE is a=12×106/ °C
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Question 1 Two circular rods of 50 mm diameter are connected by a knuckle joint, as shown in Figure 1, by a pin of 40 mm in diameter. If a pull of 120 kN acts at each end, find the tensile stress in the rod and shear stress in the pin. 50 x 11.00 in Rod (1) Pin Rod (2)
A compressive load of 219 kN is resisted by a rectangular strut which has one side measuring 83 mm. If the stress in the strut is 164 909 kPa, what is the length of the other side of the strut?
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-8 in.- -8 in.- (a) (b) Which of the following best explains why cylinder (b) has a higher longitudinal stress in its walls compared to cylinder (a)? Assume the gauge pressure of the fluid inside the cylinder is non-zero. O Cylinder (b) is supported at two locations Cylinder (a) is not free to deform in its longitudinal direction The vertical (longitudinal) pressure in cylinder (a) is transferred directly to the [bottom] support, bypassing the cylinder walls None of the above the longitudinal stress for both cylinders is the same