Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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At a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress is illustrated in the figure below. For the given plane stress condition determine:
Show the principal stresses and the max in plane shear stress and the average normal stress on an appropriate schematic
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- The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S, = 20 MPa, S, = 24 MPa, and Sy = 29 MPa. Assume ß = tan = 21.8°, a = 5, and b = 2. Using the equilibrium equation approach, determine the normal and shear stresses o (positive if tensile, negative if compressive) and z (magnitude only) at this point on the inclined plane shown. Answers: i MPa, T = i MPа.arrow_forwardThe stress state at a point of a structure is shown in the figure below.Determine:(a) The stresses acting on an element oriented at an angle in a directioncounterclockwise = 15° from the x-axis (Show the results on a sketch of a correctly oriented element).correctly oriented)(b) Find the principal stresses (Show results in a sketch of a correctly oriented element).correctly oriented).arrow_forwardJust complete the last part of this problem please (part 4). The mohr's circle drawing will help with a complete understanding of these types of problems.arrow_forward
- Question 2) arm of Figure B from point x z plane, a horizontal angle of θ = 38 ° angled F = 29 kN force sized and C from the point z direction M = 17 kn.m acts a moment in size. The lengths of the arm are also given as L 1 = 1.5 m and L 2 = 1.1 m . It is desired to determine the stress state of point A on the aa section taken from the arm. The radius r of the section is r=0.015 m and the shear modulus of the arm material is also G = 78 Gpa . According to this; Question 2-C) Find the normal stress caused by the normal force at point A ( Write your result in MPa .) Question 2-D) Find the normal stress caused by the bending moment at point A. (Your result MPa in the size of your font.)arrow_forwardPlease show full work than youarrow_forwardA rectangular column (blue color) is fixed to a rigid ground (brown color). As shown in the figure, the column is under two external loadings at C. Determine the state of stress at point K of the column and represent the stress components on a stress element.arrow_forward
- Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sy= 41 MPa, Sy = 11 MPa, and S=-44 MPa. (a) Determine the principal stresses (o,l > 02) and the magnitude of the maximum in-plane shear stress Tmax acting at the point... (b) Find the smallest rotation angle 0, (counterclockwise is positive, cločkwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) Answers: OpI = MPa. Op2 = MPa. Tmax | MPa.arrow_forward- once answered Correctly will UPVOTE!!arrow_forwardThere’s a force acting in the Y and Z directionarrow_forward
- I need the answer as soon as possiblearrow_forwardTwo forces, 100 kN and 200 kN, act on the rectangular column in the figure. Find the stresses at A and B points according to the given and show them on the stress element.arrow_forwardThe state of plane stress at a point on the surface of the airplane fuselage is represented by the stress element shown in the figure. Using Mohr's Circle, determine a) the principal stresses and the maximum in-plane shear stress specifying the orientation of the element in each case. b) The equivalent state of stress at the point on the element that is oriented {a} clockwise from this position Draw all the corresponding stress elements. Given x = {x} MPa; y = {y} MPa and xy = {xy} MPa xy MPa y y MPa 10000 x MPa →→→→x Solve in terms of variablesarrow_forward
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