PLEASE SHOW ALL WORK !!! Problem 2. A simply supported plate is loaded under its own weight (body force f₁ = -pg ). Theplate has unit thickness in the z-direction and is considered to be thin. The stress state is known tobe of the form:2 3σ × = [c + b(x² − Ľ²)]y − — by ³σyy= (-ay + by³)/3Tx = (ax-bxy²)τxy3Find the constants a, b and c.2h

Answered: Image /qna-images/answer/11c06831-1469-4113-9c0f-7495f6298a50.jpg

Answered: Problem 2. A simply supported plate is…

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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бх бу 0 Txy στ Txy Oy In the diagram above, σ = 100 MPa, σ₁ = −27 MPa,, and Try = 40 MPa. Let each rotated plane within the stress cube be labelled by the angle that it makes relative to the original & plane. For this stress state, there is a set of planes which are in compression (σ < 0), and the corresponding values satisfy min < 0 < 0 max. If 0 is normalized to fall on [0°, 360°), what are the values of 0 min and @max ? Omin Өтах о
Three metal rods are firmly attached to the walls and the middle rigid plate. Rod AB is made from stainless steel and rods CD and EF are made from 2014-T6 aluminum. If a balanced load is applied to the rigid plate, determine what the stresses are in the rods. Follow the sign convention that tensile stress is positive and compressive stress is negative. The parameter values are listed in the table above the figure. parameter value units L. 450 mm L2 300 mm d₁ 40 mm d2 30 mm P 40 KN L1 d₁ P B CC 030 BY NO SA 2021 Cathy Zupke P L2 D U MPa MPa The stress in AB σAB= The stress in CD and EF: σCD = σEF= E F
Question 3 Determine the elongation of the square hollow bar when it is subjected to the axial force P = 100 kN, find the permanent elongation of the bar. The bar is made of a metal alloy having a stress-strain diagram which can be approximated as shown. o (MPa) 500 600 mm P 50 mm 250 5 mm e (mm/mm) 0.00125 0.05 50 mm ´5 mm a. Find the stress (MPa) of the bar. b. Find the permanent elongation (mm) of the bar.
Q7
The 1900-NN load is applied along the centroidal axis of the member. (Figure 1) Determine the magnitude of the resultant internal normal force in the member section a-a. Express your answer to three significant figures and include the appropriate units. 2) Determine the magnitude of the resultant internal shear force in the member section a-a. Express your answer to three significant figures and include the appropriate units.
The state of stress at a point in a member is shown on the element. Take σx = 90 MPa , σy= 65 MPa , τxy = 40 MPa . A) Determine the normal stress component acting on the inclined plane AB. Solve the problem using the method of equilibrium. B)Determine the shear stress component acting on the inclined plane AB. Solve the problem using the method of equilibrium.
Question 3: The state of stress at a point in an elastic body is defined by the stress components, O11 = 2000; O22 = -2000; o12 = 1000; G23 = -400; 013 = 033 = 0. A plane that passes through the point has unit normal vector (1/5, 3/5, 3/V5) in relation to the x, y, z axes. (A) Find the stress vector components of the X, y, z axes acting on the plane. (B) Find the magnitude stress vector components of the x, y, z axes acting on the plane. (C) Find the magnitude of the normal stress acting on the plane. (D) Find the magnitude shear stress acting on the plane. (E) Construct the 3D Mohr's circle. (You can use the graphical paper to construct the circle and then take photo or by scanner to attach it with your answer). (F) Based on the Mohr's circle, determine the principal stresses and the maximum shear stress.
use this values lamp = 81 kg, AB = 5 mm, BC = 8mm
A unique column has been created with the geometry shown below, where the radius is r = (0.6e-0.08y2) m, the variable y is in meters. The column density of the column material is ρ = 3.21 Mg/m3. Determine the average normal stress at the bottom of the column (y = 0) in units of Pa.
A stress element in a rock mass making up a slope experiences a 2D stress as follows: σx = 8 MPa, σy = 4 MPa , tauxy = 3 MPa A. By using the stress transformation equation, draw a curve of the stress variation experienced by the stress element at the axis of rotation angle θ = 0-180°. Use the interval θ = 1°, with the x-axis and stress as the y-axis. Mark on the curve where the principal stress and maximum shear stress occur. Draw the three stress curves completely and neatly B. Draw the stress element along with the magnitude and direction of the stress at the angle where the principal stress occurs and at the angle where the maximum shear stress occurs. C. Write down the direction vectors of the orientation of the principal stress (n1, and n₂) and the maximum shear stress (nmax). Write it in unit vector form i and j. D. Prove that the value of the stress invariant (I1, and I2) using the principal stress is reached and prove that the orthogonality condition of the direction cosine is…
Three metal rods are firmly attached to the walls and the middle rigid plate. Rod AB is made from stainless steel and rods CD and EF are made from 2014-T6 aluminum. If a balanced load is applied to the rigid plate, determine what the stresses are in the rods. Follow the sign convention that tensile stress is positive and compressive stress is negative. The parameter values are listed in the table above the figure. The moduli of the two materials are Ess = 193 GPa and Eal = 73.1 GPa parameter Li value units 450 mm L2 300 mm d₁ 40 mm d2 30 mm P 40 KN L1 A 1 P Cc 090 BY NO SA 2021 Cathy Zupke The stress in AB is σAB = P The stress in CD and EF: σCD = σEF= B MPa МРа E d₂ d2 LL F D
Question 3: The cast iron of a small press has a cross section as shown. For Q = 16-kips, determine: a- the maximum tensile and compressive stresses at section a-a. b-the amount of tensile or compressive force applied to the inner part (2"x12") of the section. Answers: a: σ =2,992-psi (T) A σ = -5,650-psi (C) B b: F 51,072-lbs in tension 15 in. el B 2 in. 8 in. 3 in. 5 in. 2 in. 5 in. Cross Section a-a

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