A steel pipe with an outside diameter of 95 mm and an inside diameter of 85mm supports the loadings shown in the next figure. Investigate the stresses on the topsurface of the pipe at point H and on the side of the pipe at point K.240 mm7 kN10 kN450 mm14 kNHKCompute:a) max. tensile and shear stresses at point Hb) max. tensile and shear stressed at point K ANS.A) 131 MPa, 87.2 MPaB) 210 MPa, 109 MPa

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Answered: A steel pipe with an outside diameter…

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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Hertz contact theory can be used to determine the stresses due to contact between two spheres, which can be used approximate frictionless contact between the patellar and femoral components of a total knee replacement. Part a) Show on a sketch how the stresses at the surface vary from the centre of contact to the edge of contact. Part b) Make a sketch of an infinitesimal element of material at the centre of contact that shows the stress components. Identify the maximum principal stress, and write an expression for the maximum shear stress. Part c) Sketch a graph that shows how the maximum contact pressure varies with load and in a sentence explain why the curve has the shape it does.
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.
Calcuate torsion From Point A to Point C, Calcuate Bending From Point A to Point B and Point A to Point C. Draw a FBD from point A to point B and another for point A to C indicating what stresses are been calculate. Use the stress tensor and stress cube to Indicate what forces are acting at point A. Force apply at point B is 70lb Distacen from Point A to B is 12 in or 1 feet long Distacen from Point A to C is 3 in Handle diameter 0.625 in
a) Calculate the reaction forces in terms of F andtheta.b) Calculate the internal shear force and moment as a function of x using cuts and summingforces and moments in terms of F, L, andtheta.c) Calculate the shear force and moments by integration in terms of x, L, F andtheta.d) Assuming a rectangular cross section compute the average normal stress for the case F =10kNat 30° where b =0.04 m, h = 0.08 m, at the point x = L/4, L = 1 m at the centroid.e) With the cross section given above compute the average normal stress for the case F =10kN at30° at the point x = L/4, L = 1 m at each surface of the beam.f) Calculate the shear stress at the top and bottom surface, at the neutral axis and at x = 0.25 mand y = 0.02 m above the neutral axis.
a) Calculate the maximum and average stresses un sections A and B, take t= 0.45in
Calcuate torsion From Point A to Point C, Calcuate Bending From Point A to Point B and Point A to Point C. Draw a FBD from point A to point B and another for point A to C indicating what stresses are been calculate. Use the stress tensor and stress cube to Indicate what forces are acting at point A. Force apply at point B is 70lb Distacen from Point A to B is 12 in or 1 feet long Distacen from Point A to C is 3 in Handle diameter 0.625 in
For the stress state: Oz = 30 ksi, oy = 40 ksi, Try = -10 ksi a. Find the principal stresses and draw the stress element in the principal orientation. b. Find the maximum in plane shear stress and draw the stress element in the maximum in plane shear orientation.
The plate has a thickness of 20 mm and the force P = 3 kN acts along the centerline of this thickness such that d = 150 mm. A) Determine the normal stress at the bottom edge of the plate Enter negative value in the case of compression and positive value in the case of tension. B)Determine the normal stress at the top edge of the plate. Enter negative value in the case of compression and positive value in the case of tension. C)Specify the location of the neutral axis measured from the bottom edge of the plate.
A stress element is shown. The material has a yield strength of 200 MPa, an ultimate strength of 275 MPa, and a Young’s Modulus of 207 GPa.
Using mohr’s circle
3. As shown, a vertical 200 lb force is applied to the gear and shaft assembly at point D. Shaft ABC is solid and has a 0.5 in. radius. (you may use a coordinate system of your choice, as long it's correct.) y 2.5 in. 10 in. D H B Z X 200 lb a) Determine the state stress (all stresses with their indices) at point H on top of the shaft. b) Determine the principal stresses and max shear stress at point H.

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