The state of stress at a point in a member is shown onthe element. Determine the stress components actingon the inclined plane AB. Solve the problem using themethod of equilibrium. Suppose that the normalstresses o₂ = 23 ksi, o, = 12 ksi act in the directionsshown in the figure below. (Figure 1)Figurey'A50°σvB<x'1 of 1σ xDetermine the normal stress oExpress your answer using three significant figures and include the appropriate units.OT =SubmitPart BTr'y=μASubmitValueRequest AnswerDetermine the shear stress Try'.Express your answer using three significant figures and include the appropriate units.μAValueUnitsRequest Answer?Units2?

The state of stress at a point in a number is shown on the element.Determine the stress components…

Answered: The state of stress at a point in a…

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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At 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.
3. A steel rod of 3 cm diameter and 5 m length is connected to two grips and the rod is held at a temperature of 95 °C. Determine the stress in the rod, and the force in the rod if the temperature drops to 30 °C for the following cases a. The grip ends do not yield b. The grip ends yield by 0.12 cm Assume the Young's Modulus of the rod is E = 2×105 MPa, and the CTE is a=12×106/ °C
Find the interal normal stress in all relevant segments of the bar in the picture.
Determine the stress components acting on the inclined plane AB in (Figure 1), where τxy=−35.5MPa. Solve the problem using the stress transformation equations.
The stresses shown on the right below act at a point on the surface of a cantilever beam, as shown on the left. Determine the normal and shear stresses at this point on the inclined plane A-B, by drawing a suitable free-body diagram and applying the equations of force equilibrium. A √70° B 5 ksi -20 ksi
Don't use stress transformations formula. Use equation of force equilibrium please
The frame supports the distributed load shown with a maximum intensity of wo = 2 kN/m. Determine the state of stress acting at point E. (Figure 1) Figure Wo D• -1.5 m-+-1.5 m+ -3m- 3 m 20 mm 60 mm 20 mm m T D E 50 mm Part A Determine the normal stress at point E. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. σE= Part B μA TE= Value Determine the shear stress at point E. Express your answer to three significant figures and include the appropriate units. ΜΑ Units Value Units ? www ?
Determine the nodal displacements and the element stresses. E = 105 GPa, v = 0.3, and t = 5 mm. You don't have to calculate everything manually, but can write a code to get some input from you and find the stiffness matrices for instance. 400 mm 3 5 400 mm 30 kN 2
The stresses in a 2-D rectangular steel body (E = 200 GPa, v=0.32) are xx = -A(L - x)y, and oxy = A(h² - 4y²); other stress components are zero. Here, L represents length and h is height. What is the strain component y xy A - (h² - y²) 8E O A A 8G - (h²-x²) - (h²-x²) 8E А A= (h²-y:²) 8G ?
Determine the principal stresses at points A and B of the cylinder. Consider: L = 70 mm; d = 20 mm; F = 12 kN; P = 15 kN; T = 800 Nm.
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 16 MPa in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the stresses σn, σt, and the magnitude of τnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise).
Fill in the blanks. Draw and label the Mohr’s circle. For sigma-yp = 30 kSf. does this fail? Find the stresses on the plane shown. Find the plane on which sigma-1 acts relative to the horizontal. Draw them on the figure. Draw the Tresca plot.

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