Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal andvertical planes at the point are Sy = 17 ksi, Sy = 8 ksi, and Syy = 19 ksi.(a) Draw Mohr's circle for this state of stress.(b) Determine the principal stresses (op1 > op2) and the maximum in-plane shear stress Tmax acting at the point.(c) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Thenshow these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)SxyAnswers:Opl =iksi.Op2 =iksi.Tmax =iksi.Opi

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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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 Sx= 14 MPa, S, = 29 MPa, and Sy = 39 MPa. (a) Determine the principal stresses (o,1 > op2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise 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) Sy Answers: Opl = i MPa. Op2 = i MPa. Tmax = i MPa. Op i
The state of stress at a point under plane stress condi- tion is o = 20 MPа, о, = 50 MPa and t = 20 MPa. ху Radius of Mohr's circle representing the above state of stress (in N/mm?) is
Determine the equivalent stress state of an element oriented 30° clockwise with respect to the element illustrated in the figure below.
For the stress state shown in the figure below, use the Mohr’s circle method to determine (a) the maximum and minimum principal stresses, (b) the orientations of the maximum and minimum principal stresses (c) how the principal stresses on a properly oriented element. (d) Draw Mohr’s circle using a ruler and a compass
just part c, please
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.
The diagram below shows Mohr’s circle for a point in a physicalobject that is subjected to plane stress.(a) Determine the stresses σ x, σ y, and τ xy, and show them on astress element.(b) Determine the principal stresses and the maximum in-planeshear stress acting at the point, and show these stresses on anappropriate sketch
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 S, - 10 ksi, S, -39 ksi, and 5x, -24 ksi. (a) Determine the principal stresses (0,1 > 2) and the maximum in-plane shear stress Tax acting at the point. (b) Find the smallest rotation angle #, (counterclockwise is positive, clockwise 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: i Opl = p2 = free m i 0₂ = i O ksi. ksi. ksi.
A structural member is subjected to the plane stress condition. The state of stress at a point of the member is shown in the figure. 45 MP (1) Draw the Mohr's circle for this 2D state of stress. (2) Determine the principal stresses, the maximum in-plane shear stresses and associated normal stresses acting at this point, (3) Represent these critical stresses on new stress elements, and indicate the angles of rotation of the new stress elements with respect to the original stress elements. 25 MP
The principal plane stresses and associated strains in a plane at a point are s1 = 36 ksi, s2 = 16 ksi, P1 = 1.02(10-3), P2 = 0.180(10-3). Determine the modulus of elasticity and Poisson’s ratio
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Current Attempt in Progress 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 S= 26 MPa, S, = 19 MPa, and Sy = 30 MPa. (a) Determine the principal stresses (o,1 > o,2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise 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: Opl = i MPa. Op2 = i MPa. Tmax = MPa. Op = i

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