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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In a volume element with dimensions dx, dy, dz the negatíve y-face has a 2 MPa stress in the positivex-direction, a 3 MPa stress in the negative z-direction, and a 4 MPa stress in the negatíve y-direction. Which of the following describes the stresses per elasticity convention? Oyy = 4 MPa Oyr = -2 MPa 3 MPa A MPa
The distribution of stress in an isotropic aluminium machine component is given (in MPa) as: σ₂ = y +2z² - 6 σ₁ = x+z-6 oy σ₂ = 3x+y-13 6: T =3z² -11 xy (i) (ii) =x²-14 Tyz Txz = y² XZ x, y and z are coordinates of a point within the machine component. By taking Young's modulus, E = 70 GPa, Poisson ratio, v= 0.3 and yield stress, Y = 5 MPa, do the following for a point P located at (4, 1, 2): a) Provide the stress and strain tensors. b) Determine all the principal stresses and principal strains. c) Determine if the machine component will fail based on the failure criteria below: Tresca criterion Von Mises criterion
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 ?
Q1/ The aluminum and bronze cylinders are centered and secured between two rigid end-plates by tightening the two steel bolts. There is no axial load in the assembly at a temperature of 50°F. Find the stress in the steel bolts when the temperature is increased to 200°F. Use the following data: Aluminum cylinder Bronze cylinder Each steel bolt A (in.²) 2.00 3.00 0.75 a (/°F) 12.8 x 10-6 10.5 x 10-6 6.5 x 10-6 E (psi) 10 x 106 12 × 106 29 x 106 1.0 in.- -3 in 4 in.-1.0 in. Aluminum Bronze O
The principal strains at a point on the aluminum surface of a tank are P1 = 630(10-6) and P2 = 350(10-6). If this is a case of plane stress, determine the associated principal stresses at the point in the same plane. Eal = 10(103) ksi,nal = 0.33.
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
use lamp=81kg, AB=5mm, BC=8mm
Solve correctly please.
8000 mm3 aluminium cube is stressed in 3 mutually perpendicular direction x,y and z. The stresses in these directions are σx = 50 kPaσy = 80 kPaσz = -100 kPaDetermine the volumetric strain and change in volume. ν is 0.34 and E is 71 GPa
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

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