Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- Learning Goal: The state of in-plane stress at a point on an element of material is shown. Let o = 55.0 ksi, oy = 16.0 ksi and Try = 10.0 ksi. Use this information to represent the state of stress of the same point that is rotated through an angle of 0 = 35° b b OT ▼ Part A - Normal and shear stress on element sectioned at plane a a Using the element sectioned at plane a-a and the rotated coordinate system shown, determine the normal and shear stresses, or and Try, respectively, acting on plane a-a ▼ Part B - Normal and shear stress on element sectioned at plane b-b Using the element sectioned at plane b-b and the rotated coordinate system shown, determine the normal Or Try and shear stresses acting on plane b-b. Express your answers in ksi to three significant figures separated by a comma. View Available Hint(s) VE ΟΙ ΑΣΦΑΛΙ b vec 0 ksiarrow_forwardThe state of stress at a given point is given in the following figure. Use Mohr’s circle to find: a) The principal stresses b) The maximum in-plane shear stresses. For both cases you must draw a rotated element including all stresses and the angle of rotation. You must draw a properly labeled Mohr’s circle.arrow_forwardCalculate the main stress plane and main stress at the plane stress conditions as shown in the following figure.arrow_forward
- 1) Determine the principal stresses at point A on the cross-section of the wrench at section a-a. 2) Specify the orientation for this state of stress. 3) Determine maximum in-plane shear stress at point A� on the cross-section of the wrench at section a-a. 4) Specify the orientation for this state of stress.arrow_forwardThe stresses on the surface of a ductile alloy component 50 MPa are as pictured. The yield strength of the alloy is oy = 190MPA. 100 MPa Find Principal Stresses: Отах MPa Omin MPа 50 MPa Calculate Mises equivalent stress for the given state of plane stress: OM MPa Calculate Factor of Safety predicted by the maximum-distortion-energy theory using Mises stress: FS Does the component fail according to this theory? Yes or No Calculate Factor of Safety predicted by the maximum-shear-stress theory of failure: FS Does the component fail according to this theory? Yes or Noarrow_forwardThe stress strain curve determined from a sample of material is shown in the figure. The original diameter was 14.3 mm and it changed to 14.28858 when a 43.5 kN load was applied. Calculate Poisson's ratio for the sample. o (MPa) 550 400 0.00275 Poisson's ratio = -0.412 X 0.0arrow_forward
- When there is a plane stress condition as shown in the figure, display this stress in the form of the maximum in-plane shear stress and the corresponding average vertical stress.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_forwardAt point O of a part subjected to plane stress made of steel material (E = 210 GPa and v= 0.3) the tensile components are given below. 240 50 0= , o, Tyz 50 - 30 %3D MPa 0 0 a) The principal stress components (01, 02 and o3) and their angles with respect to the x-y-z axes of the planes where they are formed calculate. b) Calculate the maximum shear stress (tmax). c) Drawthe 2-D and 3-D Mohr circles for the stress components. d) If the yield strength of the steel material is 250 MPa, according to the Tresca ww damage criterion, it will not flow at the O point of the part. Indicate whether it is safe or not.arrow_forward
- Given the stress element shown, determine the maximum in-plane shear stress, 0x = 54 MPa Oy = 30 MPa Txy = 40 MPa (Use the stress orientation shown in the figure to determine the sign on the stress values.) 58 MPal 65 MPa 74 MPa 88 MPa 96 MPa + 148 MPaarrow_forwardI need help with the last 4 boxes.arrow_forwardFor the plane stress sigma x = -8MPa, sigma y = 7MPa, tow xy= 6MPa cw, draw a Mohr’s circle diagram properly labeled, find the principal normal and shear stresses, and determine the angle from the axis to . Draw stress elementsarrow_forward
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