Force is applied to the pipe using a wrench as shown in the figure. The inner radius of the pipe is 75 mm and the outer radius is 100 mm. The yield stress is, o yield 60 MPa; (a) Determine and show the internal forces in section a-a (points A and B are located in section a-a), (b) Show the stresses occurring at point A on x-z plane element, (c) Determine the max shear stress (max) at point A and show these stresses on a properly oriented element. (d) Check whether the loading is safe according to the maximum shear stress criterion (Tresca) for point A by taking the safety factor of 1.5,

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Force is applied to the pipe using a wrench as shown in the figure. The inner radius of the pipe
is 75 mm and the outer radius is 100 mm. The yield stress is, o yield 60 MPa;
(a) Determine and show the internal forces in section a-a (points A and B are located in section
a-a),
(b) Show the stresses occurring at point A on x-z plane element,
(c) Determine the max shear stress (Tmax) at point A and show these stresses on a properly
oriented element.
(d) Check whether the loading is safe according to the maximum shear stress criterion
(Tresca) for point A by taking the safety factor of 1.5,
(e) Show the stresses occurring at point B on x-y plane element,
(f) Determine the principal stresses at point B and show these stresses on a properly oriented
plane.
(g) Determine the factor of safety for point B of the pipe according to the maximum distortion
energy criterion (von Mises).
75 mm
B
Z
250 mm
100 mm
Kesit a-a
y
300 mm
45°
150 kN
Z
Transcribed Image Text:Force is applied to the pipe using a wrench as shown in the figure. The inner radius of the pipe is 75 mm and the outer radius is 100 mm. The yield stress is, o yield 60 MPa; (a) Determine and show the internal forces in section a-a (points A and B are located in section a-a), (b) Show the stresses occurring at point A on x-z plane element, (c) Determine the max shear stress (Tmax) at point A and show these stresses on a properly oriented element. (d) Check whether the loading is safe according to the maximum shear stress criterion (Tresca) for point A by taking the safety factor of 1.5, (e) Show the stresses occurring at point B on x-y plane element, (f) Determine the principal stresses at point B and show these stresses on a properly oriented plane. (g) Determine the factor of safety for point B of the pipe according to the maximum distortion energy criterion (von Mises). 75 mm B Z 250 mm 100 mm Kesit a-a y 300 mm 45° 150 kN Z
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