Problem 1-12 The state of stress at a point is given by : 0, = 40,Oy = 50, 0̟ = - 70, ty = 40, tvz = 80 and tw = 30 MPa. Determine the stateof stress by rotating the axes about the x-axis through 30° in the anti-clockwise direction.%3D%3D%3D

The direction cosine after rotation are, x y z x' 3/2 1/2 0 y' -1/2 3/2 0 z' 0 0 1

Problem 1-12 The state of stress at a point is given by : 0, = 40, %3D Oy = 50, 0; = - 70, ty = 40, tyz = 80 and tv = 30 MPa. Determine the state of stress by rotating the axes about the x-axis through 30° in the anti- clockwise direction. %3D %3D %3D

Problem 1-12 The state of stress at a point is given by : 0, = 40, %3D Oy = 50, 0; = - 70, ty = 40, tyz = 80 and tv = 30 MPa. Determine the state of stress by rotating the axes about the x-axis through 30° in the anti- clockwise direction. %3D %3D %3D

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

See similar textbooks

Similar questions

A planar stress element has the stress state: 0₂ = 16 MPa, 0 = 44 MPa and ty = 39 MPa. Through what angle would you rotate the element to find the orientation that has zero shear stress? Units for your solution will be degrees. Ţ: Txy Tor 6 + 8
The rod has a diameter of 40 mm. (Figure 1) It is subjected to the force system F₂ = 1410 N, Fy = 635 N, F₂ - 820 N. Figure F F 300 mm 100 N-m F. 100 mm B 1 of 1 Determine the normal stress that acts at point B. Express your answer to three significant figures and include appropriate units. ов - Submit Part B (TB)zy μA Submit Value Request Answer Determine the shear stress Try that acts at point B. Express your answer to three significant figures and include appropriate units. BLA Value Request Answer Units ļ 20011 Units COOL ? HEIT
For the stresses given with the cube below: 1. Compute the center, radius (R), principal normal stresses (0₁ and 03), max shear stress (Tmax) and draw the Mohr's Circle. 2. Compute the normal and shear stresses when the cube is rotated 20° clockwise from the horizontal plane and draw them on the cube. 3. The yield point stress (σyp) is 6 kPa. Determine if the material will fail under stresses shown using Tresca's Hexagon. вкра акра 6 экра 8 кра экра 4кра
Determine the state of stress acting at point D. Take P₁ = 120 kN and P₂ = 45 kN. (Figure 1) Figure L -1.5m- +1.5m-1.5 m- 0.5 m 40 mm 100 mm 60 mm 80 mm 1 of 1 > Find op- 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. od= - 154.88 Submit Part B Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining MPa Find TD- Express your answer to three significant figures and include the appropriate units. JA TD= Value Units ?
F2 Q1) Axial displacement of point C in the system shown on the left is 0.01 cm. Find the maximum elongation of the bar and the maximum normal stress. A F1 A. GIVEN: F2 = 100 kN, (1 = 240 cm, €2= 160 cm, bi = 5 cm, bz=10 cm, h=5 cm, E=2.107 N/em², a=20 cm Note: neglect stress concentration. h bị b2 A-A section
State of stress at the wall and the roof of the following circular opening bafore the excavation is (a] = |0 4. Find the induced stress components at point a. R W with respect to the given x-y coordinate systerm, and expresst them in the matrix form. b. Find the total stresses at point W, and give them in matrix form. c. Repeat (a) and (b) for the roof. d. Find the stresses oy, Ciy, and tyy at point A which is located at a radial distance twice the radius of the tunnel.
The state of stress at a point in a machine component is given by ox = 120 MPa, oy = 55 MPa, Oz = -85 MPa, Oxy = -55 MPa, Oxz = -75 MPa, and oyz = 33 MPa. Construct the Mohr's circles of stress for this stress state and find the maximum shear stress.
For the flat stress state shown in the figure. Use Mohr's circle to determine (show the procedure only with the use of geometry): a. Draw Mohr's circle indicating coordinates of the points that represent the given stress state, center, radius, coordinates of the points that represent the state the maximum and minimum normal stresses, coordinates of the maximum shear and angle of rotation from the stress given to the plane principal. b. Use the results of literal a to draw the element subjected to main forces and the element subjected to maximum shear. 12 MPa 19 MPа y 19 MPа 46 MPа 46 MPа 19 MPа 19 MPа 12 MPa
Q-1 Figure Q-1, below, shows Mohr’s circle for a point in a physical object that is subjected to plane stress. Determine the stresses σx, σy, and τxy, and show them on a stress element, properly oriented with reference to x-y axes. Determine the principal stresses σ1, σ2, and τmax and show them on a stress element properly rotated with respect to the x–y element Determine the stresses σn, σt, and τnt, and show them on a stress element that is properly rotated with respect to the x–y The sketches must include the magnitude of the angles w.r.t. positive x-axis as well as the angle between the x and n axes, and an indication of the direction of rotations (i.e., either clockwise (c.w.) or counterclockwise (c.c.w.)).
C. For Problems 10–96 through 10–105, use the data from the indicated problem for the initial stress element to draw Mohr’s circle. Then determine the stress condition on the element at the specified angle of rotation from the given x-axis. Draw the rotated element in its proper relation to the initial stress element and indicate the normal and shear stresses acting on it. JUST DO 10-96 PLEASE
For the sets of given stresses on an element given in Table 4–2, draw a complete Mohr’s circle, find the principal stresses and the maximum shear stress, and draw the principal stress element and the maximum shear stress element. Any stress components not shown are assumed to be zero. Work problem #4 4) Sigma_X= -80 ksi, Signma_Y= 40 ksi, Tau_XY= -30 ksi
Determine the resulting maximum value of the normal stress. Specify the orientation of the plane on which these maximum values occur. **The answer is tensile stress is 0 ksi at 90 degrees. **The answer is compressive stress is 7 ksi at 0 degrees. Can you explain how that is? This was my thought process: I know that tensile would be zero because the force P is actually going inwards and not outwards. I know that means that there would be a compressive force. I am confused on the angles, how is a tensile force going 90 degress if there technically is no force in the tensile direction. And how is there a compressive force at 90 degrees if there is a stress? thank you!