A plastic which behaves in accordance with a Kelvin-Voigt model is subjected to thestress history plot as shown in Figure 1, with σ1 = 20 MPa and t₁ = 200 s. Assumingthat the Boltzmann Superposition Principle applies, calculate the strain in the material:(i) after 150 seconds(ii) after 250 secondsData: spring constant (ε) = 20 GPaviscosity of the dashpot (n) = 1000 GPa.s.The Kelvin model: ɛ(t) = ½- (1 − e¯/),-where the symbols have their usualmeanings.Stress, σ, (MPa)250120151010500100200300Time (s)Figure 1: Stress history plot

Answered: Image /qna-images/answer/721b1ebd-a557-48de-ae5c-aaf23a174a07.jpg

Answered: A plastic which behaves in accordance…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Determine the stress resultants N(x), V(x), M(x) and draw the diagrams of the stress resultants and calculate the extremal values. At first, consider all parameters (F, a, L, ...) as variables and fill in their actual values at the end of your calculation.
For the prismatic bar in simple tension shown below, the stress state at any point "M" is characterized by Sig = p, and the other stress components are null. You are asked to determine the stress vector, as well as its normal and shear components, on a generic facet of normal parallel to the xy plane.
Q2/ A force P = 1 KN applied to a right bar suspended by three wires, as shown below. all wires are of equal size and the same material. for each wire, A = 80 mm , E =200 GPa , and L =4 m. If initially, there were no slack in the wires, how will the applied load distribute between the wires? 200 100 100 4000 mm mm mm mm
FN = 50
For a given homogeneous, isotropic, linearly elastic material, E = 15e6 psi and v = 0.3. Solve for the shear modulus. 2.1.1 Homogeneous, isotropic, linearly elastic materials For specimens undergoing small deformations, the stress-strain diagram often ex- hibits a linear behavior. Although this is a very crude approximation to the behavior of actual materials, it is a convenient assumption that is often used for preliminary evaluation. A linear relationship between stress and strain can be expressed as 01 = E €1, (2.1) where the coefficient of proportionality, E, is called Young's modulus or modulus of elasticity. Since strains are non-dimensional quantities, this coefficient has the same units as stress quantities, i.e., Pa. This linear relationship is known as Hooke's law. The elongation of a bar in the direction of the applied stress is accompanied by a lateral contraction that is also proportional to the applied stress. The resulting defor- mations for this uniaxial state of stress…
A 45° degree strain gauge rosette positioned on the surface of a structure under stress recorded the following values of normal strain: Gauge A: -195×10 (oriented in the postive x direction) Gauge B: 145 x 10- (oriented at 45° anti-clockwise to gauge A) Gauge C: -275×10-8 (oriented at 90° anti-clockwise to gauge A) What is the value of normal strain and shear strain on a plane inclined at 29° clockwise from gauge B? a) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 0.3 microstrain and 602.1 microstrain, respectively. b) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 0.3 microstrain and 301.1 microstrain, respectively. c) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 108.5 microstrain and 334.9 microstrain, respectively. d) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 108.5 microstrain and 167.4 microstrain,…
A mass of 45 kg falls freely from a height of 2,5 m onto a collar fixed to the bottom end of a vertical steel rod. The rod is 20 mm in diameter and 8 m long. Calculate (a) the instantaneous stress induced in the rod; (b) the instantaneous elongation of the rod; and (c) the strain energy stored in the rod (E = 205 GPa).
The plane stress displacement field for the pure bending problem was given by u = - El v = (vy? + x² - P), where -1
Determine modulus of toughness in mpa
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1) The triangular plane stress problem connected to a spring, is subjected to a uniformly distributed load and two point forces. Calculate the nodal displacements and the spring force using two triangular finite elements. k = 3x105 kN/m (spring constant) h = 0.20 m (thickness) E = 3x107 kN/m² (modulus of elasticity) v = 0.20 (Poisson's ratio) 1.5 m 40 kN 30 kN/m 50 kN 2 m 2 m
A bar BD is held in a horizontal position when there is no load by the steel wire AB. When a weight Wis added at C, also hanging from a steel wire CE, then point C is displace down by 0.025in. The cross-sectional area of the wires is 0.002in². The wires are made of a steel alloy with E = 29000ksi and σy = 70ksi. Calculate the strain in both wires, and the weight W. B A N E Parameter ft L_1 4 L_2 1 L_3 2 L_4 4 The strain in AB is € AB = The strain in CE is ECE = The weight W = 30 W cc 080 BY NO SA 2021 Cathy Zupke Xlb D in./in. in./in.

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