(ii) An element of material subjected to plane strain has strains as follows: Ex = 220 × 10-6, Ey = 480 x 10-6 and Yxy = 180 x 10-6 Calculate the strains for an element oriented at an angle 0=50°. with the help of mohr's circle. Also calculate the principal strains.

(ii) An element of material subjected to plane strain has strains as follows: Ex = 220 × 10-6, Ey = 480 x 10-6 and Yxy = 180 x 10-6 Calculate the strains for an element oriented at an angle 0=50°. with the help of mohr's circle. Also calculate the principal strains.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 50 MPа 80 MPа 80 MPа 50 MPа

Q: 8. Axial strain (e) is defined as (circle all that are correct): b. Axial deformation Original…

A: Given data : The axial deformation is denoted by ∆L The original length is denoted by L Required :…

Q: The state of stress in a deformable body is shown in the figure. Consider transformation of the…

Q: The State of stress at a point is shown with respect to the x-y axis. Determine the equivalent state…

A: Given : Determine the equivalent state of stress with respect to x'-y' axis?

Q: he state of strains at a point are defined as follows. Find the magnitude of largest normal strain…

Q: : The state of plane stress at a point is represented by the stress element shown in figure 2. Apply…

A: Major principal stressδ1 = -80MpaMinor principal stressδ2 = 50MpaInclined angle θ = 30∘

Q: What is meant by strain transformation? Describe two procedures for obtaining stress form Mohr’s…

A: Strain transformation equations are given as : This is similar to stress transformation equations,…

Q: QUESTION 2 An element in plane stress is subjected to stresses; Ox ,Oy, and Txy (FIGURE 2). Using…

A: Note : Hi! Thank you for the question, As per the honour code, we are allowed to answer three…

Q: 85 In a pure shear condition, the maximum value of shear stress is observed to be 20 MPa for an…

Q: An element is subjected to the principal stresses Ϭ1 = Ϭx = 40 MPa and Ϭ1 = Ϭy = -30 MPa. Compute…

A: Given: The stress in the x-direction is 40 MPa. The stress in the y-direction is -30 MPa. The angle…

Q: QUESTION 1 An element in plane stress is subjected to stresses; Ox, Oy, and Txy (FIGURE 1). Using…

A: NOTE - Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: The plate is deformed into the dashed shape as shown. If in this deformed shape, the horizontal…

A: The plate is deformed into the dashed shape L = 340 mma = 7mmb = 4 mm It is asked to determine the…

Q: The state of stress of an element is given as follows. The value of normal stress are = 30MPa, σ₂ =…

A: Given data, The value of normal stress in x and y axis, σx=30 MPaσy=-10 MPa. Major principal stress,…

Q: eral steps that -node and mes

A: solution of above problem is below:

Q: • Two Identical circular rods of same diameter and same length are subjected to same magnitude of…

Q: Transform the state of stress shown by rotating its orientation 50 degrees counterclockwise. What…

A: Shear stress and normal stress are given anaylitically we can find unknown

Q: Determine the state of stress on the The state of stress at a critical section is shown in Fig.…

A: Given : This is a problem of solid mechanics where we have to find the state of stress on the…

Q: 3. When two metal sheets are riveted together by a circular rivet, and two forces that are in the…

A: Based on the given arrangement of the metal sheets we can draw below figure to show the bearing…

Q: - The plate given in Figure is subjected to shown biaxial loading. If the material properties are…

A: It is required to find the Elongation of AB & AC sides of the plate and principal strains. E =…

Q: The figure below shows the cross-section of a beam that carries a vertical shear force, V= 72 kN.…

Q: A rigid steel bar is supported by three rods, as shown. There is no strain in the rods before the…

Q: (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b)…

Q: A steel section having a cross section of 20 mm x 30 mm is subjected to an axial force of 240 kN.…

Q: • Part C- Counterclockwise Rotation of a Stress Element The state of stress at a point in a member…

Q: An element in pure shear is subjected to stresses Tzy = 3,650 psi, as shown in the figure. Consider…

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

Q: At a point on a structural member, the values of measured coordinate strains at an instant are: Ex =…

A: in given question, ∈x=2Rμ , ∈y=-3Rμ and γxy=2.5Rμ

Q: Question 7 The bronze bar 3 m long with a cross-sectional area of 350 mm? is placed between two…

Q: Three strain gauges are attached on the surface of the plane frame which is shown in Figure. The…

A: calculate equation for strain for a∈a=1100μ=∈xcos20°+∈ysin20+γxysin0cos0∈x=1100μcalculate equation…

Q: A thin rectangular plate ABCD is deformed into a parallelogram as shown in the figure below. The…

Q: A cylindrical specimen of 1018 steel having a diameter of 6.35 mm and a gauge length of 38.1 mm is…

Q: In a pure shear condition, the maximum value of shear stress is observed to be 20 ME element shown,…

Q: An acetal polymer block is fixed to the rigid plates at its top and bottom surfaces. If the top…

Q: The strain components & & and Yxy are given for a point in a body subjected to plane strain.…

A: In the analytical method strain at any plane located at an angle Ꝋ with the given plane can be…

Q: For the deformed plate, determine the normal strain of diagonal PR. Answer: με

A: Thin square plate PQRS;a = 200 mm,b = 202.1 mm,c = 198.9 mm.We have to determine-1. Normal strain of…

Q: A thin rectangular plate ABCD is deformed into a parallelogram as shown in the figure below. The…

A: Given data: ϕA=4172 μrad

Q: The stresses acting on an element is given in figure. a.Calculate the following parameters of Mohr…

Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid…

Q: The strain components e, = 542 µE, ɛ, = -636 µE, and y,y = 704 prad are given for a point in a body…

Q: A differential element on the bracket as shown in Figure Q1 is subjected to plane strain that has…

Q: - Deformed -Undeformed 16.6 0.1992 mm |15.7° 0.2 mm 0.1515 mm 0.15 mm

A: Normal strain occurs when the strechable/comprrssion of an object is in response to a normal stress…

Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

(ii) An element of material subjected to plane strain has
strains as follows:
€ = 220 x 10-6, y = 480 x 10-6 and Yxy = 180 x 10-6
Calculate the strains for an element oriented at an angle
0=50°. with the help of mohr's circle. Also calculate the
principal strains.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The state of strain at the point has components of € = 300 (10-6), y = -260 (10-6), and Yay = 460 (10–6). Figure
The following answer is incorrect. Please double check calculations
The strain components & & and Yxy are given for a point in a body subjected to plane strain. Determine the strain components & Eti and Ynt 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 8. Sketch the deformed shape of the element. &x=-1200 μs, &y= 200 με. Vxy = 1400 μrad, and 0 = 30° x Answer: En = Et = Ynt = με με prad
2= The deformations of a body are presented as follows. Find the Cauchy strain tensor [Cij] and volumetric strain at the point of (2,1,1) and at the time of t* sec. x₁ = (2¹-1) X₁ +α X3 ) + X₁, a X₂ = X3 (2¹-2-¹) + X2, X3 = X3. İ 0.5 0.5
The strain components Ex, Ey, and Vxy are given for a point in a body subjected to plane strain. Determine the strain components & Et, and Ynt at the point if the n-taxes are rotated with respect to the x-y axes by the amount and in the direction indicated by the angle 8. Sketch the deformed shape of the element. Ex = -950 μE, Ey = 600 μE, Yxy = 1400 μrad, and 8 = 40° Answer: En = & بڑی = Ynt = με με Hrad n X
The strain components EE. and Vxy are given for a point in a body subjected to plane strain. Determine the strain components En. Et and Ynt 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 8. Sketch the deformed shape of the element. Ex=-1150 μe, &, = 290 μE. Vxy = 1450 μrad, and 8 = 38° 12 X Answer: {= Ynt = με με urad
The initially square element of a material is deformed as shown. Determine the shear strain of the element in radian and the normal strains in mm/mm of the diagonals AC and BD. B Undeformed Deformed C 1.997 mm D 2.003 mm 2.015 mm
4- The state of strains at a point are defined as follows. Find the magnitude of largest normal strain and its direction. Also, determine the octahedral shear strain. 600 200 200 []=200 0 400 (*10 m/m) 200 400 0
The State of stress at a point is shown with respect to the x-y axis. Determine the equivalent state of stress with respect to the x'-y' axis. Display the results on a sketch of an element aligned with the x'-y' axis. 8KSI 8KSI TOKSI Y' V Y X' 60° X 8KSI 10 KSI 8 KSI
Please give correct answer
The strain components Ex, Ey, and Yxy are given for a point in a body subjected to plane strain. Determine the strain components En Et, and Ynt 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 8. Sketch the deformed shape of the element. Ex = -950 μE, Ey = 380 μE, Vxy = 1000 μrad, and 8 = 30% t Answer: En = & = Ynt= με με Hrad n X
4= The state of strains at a point are defined as follows. Find the magnitude of largest normal strain and its direction. Also, determine the octahedral shear strain. (600 200 200) [ε] = 200 0 400 (*10 m/m) 200 400 0