The strain components for a point in a body subjected to plane strain are &=-1080 pe, &y =-21Ouɛ and yy=-361 prad. Using Mohr'scircle, determine the principal strains (ɛ,1 > Sn), the maximum inplane shear strain yn and the absolute maximum shear strain ymy atthe point. Show the angle 0, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximumin-plane shear strain distortion in a sketch.Answers:Ep1 =Ep2 =με.Yip =prad.Ymaxprad.

Answered: Image /qna-images/answer/f3c3c331-a94c-48bc-9134-9b559eb04ea5.jpg

The strain components for a point in a body subjected to plane strain are Ex = -1080 uɛ, &y = -210uɛ and yy = -361 urad. Using Mohr's circle, determine the principal strains (ɛ,1 > E2), the maximum inplane shear strain yin, and the absolute maximum shear strain ym at the point. Show the angle e, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Answers: Ep1 = pe. Ep2 Yip = prad. Ymax urad.

The strain components for a point in a body subjected to plane strain are Ex = -1080 uɛ, &y = -210uɛ and yy = -361 urad. Using Mohr's circle, determine the principal strains (ɛ,1 > E2), the maximum inplane shear strain yin, and the absolute maximum shear strain ym at the point. Show the angle e, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Answers: Ep1 = pe. Ep2 Yip = prad. Ymax urad.

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

Related questions

Q: A rectangular aluminum plate of uniform thickness has a strain gauge at the center. It is placed in…

Q: The state of strain on an element has components Px = -300(10-6), Py = 100(10-6), gxy = 150(10-6).…

A: Given Data: The x component of the normal strain is: εx=-300 X 10-6. The x component of the normal…

Q: Problem 2-21: The corners of the square plate are given the displacements indicated. Determine the…

A: AC = BD = 20 in

Q: For the state of a plane strain with εx, εy and γxy components: (a) construct Mohr’s circle and (b)…

A: Given state of a plane strain is-To find:(a) Construct Mohr’s circle and(b) The equivalent in-plane…

Q: Determine the average normal strain along diagonal DB, based on the original plate (blue) and the…

Q: The steel railroad increases its length when exposed to heat from 70°F to 95°F. The coefficient of…

A: Given data T1=70°F and T2= 95°F Thermal expansion coefficient = 11.7 ×10-6 (m/m°C) Find the strain

Q: a free surface of a machine point (E = 214Gpa, G= 83Gpa) the stress state is shown on the diagram…

Q: Q5) A material is subjected to two mutually perpendicular linear strains together with a shear…

A: For the solution refer below images.

Q: A three strain gages have been attached directly to a piston used to a medical chair, the strain…

Q: 1. Find the relationships between strain components in the polar coordinate and strain components in…

A: To find the relationships between strain components in the polar coordinate and strain components in…

Q: 4. The guy wire AB of a building frame is originally unstretched. Due to an earthquake, the two…

A: Step 1:Step 2:

Q: A thin rectangular plate is uniformly deformed as shown below. The dimensions of the plate are X =…

Q: The strain components sx Ey, and yxy are given for a point in a body subjected to plane strain.…

Q: Your answer is partially correct. On the free surface of an aluminum [E=10100 ksi; v = 0.35]…

A: Note: check units of stresses as I am not familiar with units

Q: Required information Consider the given state of plane strain. Ex =-180µ, Ey=-260µ, Yxy= +295µ Use…

A: Since you have asked multiple questions, only the first question is solved for you. If you want any…

Q: Part B - Principal Strains on the Oriented Element Determine the in-plane principal strains on the…

Q: The 45° strain rosette is mounted on the surface of a shell. The following readings are obtained for…

Q: A square piece of material is deformed into the dashed position. -15.18 mm В 15.24 mm 15 mm 89.7° A-…

A: Shear strain and average normal strain diagonal AC.

Q: 81 =350 x 10 %3D E2-110 x 10 E3=230 x 10

A: The measured value of strains are given as, ε1=350×10-6ε2=110×10-6ε3=230×10-6 Modulus of elasticity,…

Question

100%

The strain components for a point in a body subjected to plane strain are &=-1080 pe, &y =-21Ouɛ and yy=-361 prad. Using Mohr's
circle, determine the principal strains (ɛ,1 > Sn), the maximum inplane shear strain yn and the absolute maximum shear strain ymy at
the point. Show the angle 0, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum
in-plane shear strain distortion in a sketch.
Answers:
Ep1 =
Ep2 =
με.
Yip =
prad.
Ymax
prad.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Three readings are obtained from an equiangular strain gage rosette mounted on a free and unloaded surface of a part. Determine the magnitude of the principal strains and their orientation with respect to the 0° gage. Check the results with a Mohr circle.Assume The three known strains are all linear strains
The strain components ɛx, ɛy, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µɛ, ɛy = 430 µɛ, Yxy = 230 µrad. Enter the angle such that -45° s 0,s+45°. Answer: Ep1 με Ep2 = Ymax in-plane prad Yabsolute max. prad %3D
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′ =
7- The state of strain at the point has components in the X-axis = -210x10-6, in the y-axis = 355x10-6, and in the x-y plane equations to determine the equivalent in-plane strains ( er,y.and Yx'y') on an element oriented at an angle -710x10-6. Use the strain-transformation of 55° counterclockwise from the original position.
For the state of a plane strain with Ex, Ey and yxy components: (a) construct Mohr's circle and (b) determine the equivalent in-plane strains for an element oriented at an angle of 30° clockwise. Ex = 250 x 10-6 Ey = 310 x 10-6 Yxy = -100 × 10-6
2mm The piece of plastic is originally rectangular. Suppose that a = 300mm and b = 420 mm 2mm 5mm TIC 300mm = a 1 Blac b 1 d A B 1 1 1 1 1 1 = 420mm 3mm 14mm 2mm У Determine the shear strain rxy at corner B if the plastic distorts as shown by the dashed lines.
1.40 Given a major principal strain of 600µ and strain invariants I, = 400µ and I, = - 4800µ, find the remaining principal strains. Find, in magnitude and direction, the octahedral normal and shear strains. Answer: (1u = 1 x 10 ) 200p.- 400u. 133µ, 822u
How can I draw in mohr's circle?
800mm -800mm A) The wire AB is unstretched when Theta 45°. If a load is applied to the bar AC, which causes Theta to become 47°, determine the normal strain in the wire and shear strain at A - B) If a horizontal load applied to the bar AC causes point A to be displaced to the right by an amount 5mm, determine the normal strain in the wire AB. Originally Theta =45°.
Please show all work!
The force P applied at joint D of the square frame causes the frame to sway and form the dashed rhombus. Suppose that θ = 3.6∘
A 60 ̊ strain rosette measures the following strain at a point on the aluminum skin of an airplane. ε0 = 160 ×10-6 m/m, ε60 = -220 ×10-6 m/m and ε120 = 360 ×10-6 m/m. Using E= 10 ×106 psi and v = 0.3, Determine the principle stresses and the maximum in-plane shear stress.