On the free surface of an extruded acrylic polymer [E = 3.5 GPa; v = 0.32] sheet, three strain gages arranged as shown record thefollowing strains at a point: ε--420 με, ε, -+600 με, ε, -+490 με. Determine(a) the strain components E, Ɛy, and Yxy at the point.(b) the maximum in-plane shear strain Ymax-(c) the stresses O, Oy, and Ty at the point.y45°45°aUse the strain transformation equations to determine the strain components Ex, Ey, and yxy at the point.Answer:Ex =μεEy =iμεYxy =prad

Answered: Image /qna-images/answer/57c1aec3-a236-4ee6-bf7d-78228cdfe004.jpg

On the free surface of an extruded acrylic polymer [E = 3.5 GPa; v = 0.32] sheet, three strain gages arranged as shown record the following strains at a point: €, = -420 pɛ, ɛb = +600 µɛ, ɛc = +490 µɛ. Determine (a) the strain components E, Ey, and Yxy at the point. (b) the maximum in-plane shear strain Ymax- (c) the stresses O, y, and Tyy at the point.

On the free surface of an extruded acrylic polymer [E = 3.5 GPa; v = 0.32] sheet, three strain gages arranged as shown record the following strains at a point: €, = -420 pɛ, ɛb = +600 µɛ, ɛc = +490 µɛ. Determine (a) the strain components E, Ey, and Yxy at the point. (b) the maximum in-plane shear strain Ymax- (c) the stresses O, y, and Tyy at the point.

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

The strain components εx, εy, and γxy are given for a point in a body subjected to plane strain. Determine the strain components εn, εt, and γnt at the point if the n-t axes are rotated with respect to the x-y axes by the amount and in the direction indicated by the angle θ. Sketch the deformed shape of the element. εx = -1100 με, εy = 490 με, γxy = 1500 μrad, and θ = 34°.
The material distorts into the dashed position shown. Determine the average normal strains along with the diagonals AD and CF.
The material distorts into the dashed position shown. Determine the average normal strains Px, Py and the shear strain gxy at A, and the average normal strain along line BE.
An air-filled rubber ball has a diameter of 150 mm. If the air pressure within it is increased until the ball’s diameter becomes 175 mm, determine the average normal strain in the rubber.
Prove that the sum of the normal strains in perpendicular directions is constant, i.e., Px + Py = Px′ + Py′
Q1: The stresses measured at a point on bone are oy =5 MPa ,o, = -7 MPa and 1,,=2.4 MPa find: 1. The principal strains and maximum shear strain. 2. The strain energy . Knowing that the poisonratio v=0.3 and the unit volume change =5.6x10
The strain gauge is placed on the surface of a thin- walled steel boiler as shown. If it is 0.5 in. long, determine the pressure in the boiler when the gauge elongates 0.2(10 −3 ) in. The boiler has a thickness of 0.5 in. and inner diameter of 60 in. Also, determine the maximum x , y in-plane shear strain in the material. Est = 29(10 3 ) ksi, nst = 0.3. Please show diagram.
Determine the equivalent state of strain on an element at the same point oriented 30∘∘ clockwise with respect to the original element. ϵx′, ϵy′,γx′y′ =
When the state of strain is represented by the principal strains, no shear strain will act on the element. True or False?
F is being held by two cables AB and CB. If the applied force P creates a displacement at point E equal to 3 mm, calculate the strain in cable CB and AB.
If the normal strain is defined in reference to the final length Δs′, that is,P= = lim Δs′S 0 aΔs′ - Δs Δs′ b instead of in reference to the original length, Eq. 2–2, show that the difference in these strains is represented as a second-order term, namely, P - P= = P P′.
An air-filled rubber ball has a diameter of 6 in. If the air pressure within the ball is increased until the diameter becomes 7 in., determine the average normal strain in the rubber.