A thick closed cylinder, 100 mm inner diameter and 200 mm outer diameter is subjectedto an internal pressure of 230 MPa and outer pressure of 70 MPa. Modulus of elasticity,E=200 GPa. and Poisson's ratio is 0.3, determine:i)The maximum hoop stressii)The maximum shear stressiii)The new dimension of the outer diameter due to these inner and outer pressures.

Answered: Image /qna-images/answer/c6eb80d1-6180-4000-acb6-4cceaf570031.jpg

Answered: A thick closed cylinder, 100 mm inner…

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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Problem 2: A pressure vessel with p = 200 psi internal pressure is subjected also to a twisting moment T = 450 kips in. The vessel has an internal diameter of 20 in and a wall thickness of 0.25 in. a) Draw a Mohr's circle for an element on the front surface, as shown, and determine the principle stresses. b) Determine whether the in-plane maximum shear stress is equal to the absolute maximum shear stress. c) Determine the tensile yield strength of a ductile material which has a factor of safety of 5 for this loading. Use the maximum shear stress theory.
A 15-meter long beam-tank assembly supports the loading shown in addition to its weight, which is a uniform distributed load of 800 N per meter. The beam has integrated into it a cylindrical tank, and the cross-section details for the beam-tank assembly are shown on the next page. The tank has an outer diameter of 166 mm and an inner diameter of 152 mm. The substance inside the tank has a gage pressure of 320 kPa. The pin in the pin-connection is located 60 mm up from the bottom of the beam. Determine the internal forces (V, N, & M) at the centroid of a section taken 8 m TO THE RIGHT OF THE LEFT END OF THE BEAM (4 m to the right of point A). 40 KN 4 m O A 8m 3 m 12 13 78 KN
3. An axial pull of 35000 N is acting on a bar consisting of three lengths as shown below. If the Young's Modulus is 2.1 x 105 N/mm2. Determine (i) Stresses in each section, and; (ii) Total extension of the bar. Section 3 Section 2 Section 1 35000 N 35000 N 2 cm DIA 3 cm DIA 5 cm DIA k-20 cm- 25 cm -22 cm-
The normal and shear stresses acting on one plane passing through a point in a soil mass are 120 psi compression and 25 psi, respectively. On an orthogonal plane, the respective stresses are 40 psi compression and 25 psi. (a) Draw the Mohr’s circle for this stress condition. (b) What are the principal stresses? (c) Determine the angle between the plane on which the 120 psi stress acts and the major principal plane. (d) What is the maximum shear stress acting at the point?
An aluminum rod is rigidly attached between bronze rod and steel rod as shown. Axial loads are applied as indicated. Find the maximum value of P that will not exceed a stress of steel of 120 Mpa , in aluminum of 95 MPa, or a bronze of 105 MPa, steel aluminum bronze A = 600 mm 400 mm2 150 mm 3P 3P + .a) What is the maximum value of "P" that will not exceed the given stresses of the three metals. .b) Using the determined maximum value of "P" what will be the stress exerted by steel. .c) Using the determined maximum value of "P" what will be the stress exerted by aluminum. Using the determined maximum value of "P" what will be the stress exerted by bronze.
t=10 mm b=240 mm F.S=1.9 σall=230 MPa
a) Determine the tensile force T’ in the rope on the side connected to joint B: b) Determine the internal compressive normal force ƒBC in the tube BC: c) Determine the horizontal reaction force Rx and the vertical reaction force Ry in joint A: d) Determine the moment M of the center of bar AB: e) Determine the compressive stress σBC in the tube BC: f) Determine the critical load Pc for the tube BC: g) Which of the following statements about the tube BC is correct: A. The tube BC fails due to yielding B. The tube BC fails due to buckling C. The tube BC fails due to both yielding and buckling D. The tube BC is safe against both yielding and buckling h) Pin C has a diameter of 30 mm; calculate the shear stress τ of the pin C, when considering one cross-section for shear stress calculation:
Q2 A compound bar is constructed from three bars 50 mm wide and 12 mm thick fastened together to form a bar of 50 mm width and 36 mm height. The middle bar is made of Aluminum alloy for which E=70 GPa and the outside bars are made of Brass with E=100 GPa. A) If a Compressive Load of 15 KN is applied to the compound bar, find the stresses in the brass and aluminum. B) Determine the temperature at which the total stress in one bar will be zero, find also the total stress of the other bar.
Please help me with this mechanical engineering problem. Thank you.
Problem 2. A material element in plane stress is subjected to stresses: Ox = -5000 psi Oy Txy = -3000 psi - 2000 psi а) Using Mohr's Circle, determine the stresses on an element oriented at an angle 0 = 60° counterclockwise from the x axis. b) Show these stresses on a sketch of an element oriented at the angle 0.
A composite bar 400 mm long consist of a solid copper shaft of 50 mm diameter enclosed within a steel tube 15 mm thick. This composite bar is subjected to an axial compressive load of 160 kN. Esteel = 200GPa, Ebrass = 100 GPa. Determine : a) the stress in each material b) the strain in each material c) the compression of the composite bar d) the portion of the load carried by each material
A 70 lb force P is applied to the brake pedal of a tractor, as shown below. Force Qis applied to the brake cylinder. Determine the maximum tensile and compressive normal stresses on section a-a, which is midway between points A and B. Section a-a is a x 1 in rectangle. 3 16 8.5 in 7.5 in P 30% 1 in a A B -4 in- a -Q

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