Four stress elements are shown below. All members have the same value for E (Young's Modulus) and v (Poisson's ratio). Rank the members from largest to smallest absolute value of the normal strain in the y direction. • View Available Hint(s)

Four stress elements are shown below. All members have the same value for E (Young's Modulus) and v (Poisson's ratio). Rank the members from largest to smallest absolute value of the normal strain in the y direction. • View Available Hint(s)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.20P: A strain rosette (see figure) mounted on the surface of an automobile frame gives the following...

See similar textbooks

Related questions

Q: Determine stress produced by tensile force of 20 N applied on cross sectional area of 5 mm2

A: Given data: Tensile force (F) = 20 N Cross sectional area (A) = 5 mm2 Need to determine the stress…

Q: 982. The strain components at a given point are x = -533 x 10, 6, = 67 x 10-6, and Y = -626 X 106.…

A: To find The stress components on the face whose normal is 45° from the X axis. Given The strain…

Q: Two bars are used to support a load. When unloaded, AB is 5 in. long, AC is 8 in. long, and the ring…

Q: A 1500N force is applied to a bracket as shown. The diameter d = 25mm, determine the principal…

Q: the normal strain in link AD is:

Q: cross section at the wall is shown, with points of interest A, B, C, and D. Evaluate the potentially…

Q: Calculate the principal strains and stresses, the maximum shear stress, and the orientation angle…

A: Given that: Strain gage rosette type is delta rosette. Measurements are: ε1=400 μm/m ε2=84 μm/m…

Q: Af D Find the stress in each cord of the system shown in fig. below if the cross section area of…

A: To find : The stress in each cord . Given data : The cross sectional area of cord A=450 mm2. The…

Q: Q3/ If two members, A and B, are connected together and fixed supported at one end. The tensile load…

Q: Question 2 The bar has a cross-sectional area A and is subjected to the axial load P. Determine the…

Q: sions of the tee shape are b- 22 mm, d- 33 mm, and t 4 mm. After loads are app rmal strain of 410 He…

A: To find : calculate applied load P. Given; Eal=77 GPa cross section dimension of beam at different…

Q: What, if any, are the stresses at point O? NOTE THAT WE ARE NOW ASKING ABOUT POINT O. Choose all…

A: When a bar is subjected to various loads then there are different types of stresses developed in the…

Q: The principal stresses at a point are : 40 MPa, 30 MPa and - 20 MPa. Calculate per unit volume the…

A: We know the main stresses at a place are known to be 40 MPa, 30 MPa, and -20 MPa. Total strain…

Q: The strain at point A on the bracket has normal components 300x106 and 440x106 in x and y…

A: GIven data: The strain along x-axis is εx=300×10-6 The strain along y-axis is εy=440×10-6 The shear…

Q: Q2 / The 60° strain rosette are mounted on articular cartilage element. Figure Q2 shows the readings…

A: Consider the diagram shown below for the strain rosette. The general equation for the strain in a…

Q: The components of plane stresses at a critical point are shown in the following figure. Determine…

Q: The ratio of the strain in the lateral direction to that in the axial direction A Pascal's Number…

A: Given data Strain is the ratio of change in dimension to original dimension.

Q: The state of plane strain on an element has components e,= Tay = 110(10 ). (Eigure 1) -480(10-6), e,…

Q: Determine the maximum normal stress on a transverse plane in the straight portion of the structure…

A: To find: The maximum bending stress at the bottom for the both the symmetrical and non-symmetrical…

Q: The strain rosette shown was used to obtain normal strain data at a point on the free surface of a…

Q: Determine the normal strain across line AB b.)Determine average shear strains at corners C and D…

Q: The state of plane strain on an element has components € =-410(10-6), ey = 0, and %3D Yæy =…

Q: For the following structures, determine the maximum normal stress, deformation and displacement of…

Q: For the bar in the way the loading status is seen determine the strain energy on the rod so that the…

A: The maximum allowable stress will be a constraint for the hollow shaft because, for the same outer…

Q: Two bars are used to support a load. When unloaded, AB is 5 in. long, AC is 8 in. long, and the ring…

Q: A 60˚ strain rosette measures the following strain at a point on the aluminum skin ofan airplane. ϵ0…

A: Solution:

Q: subjected to a shearing force of 715N on its top cylindrical face. If the dowel has a diameter of…

Q: The 45° strain rosette is mounted on a steel shaft. The following readings are obtained from each…

Q: Determine the equivalent state of stress on an element at the same point oriented 60°…

A: Given Data: The value of σx=150 MPa The value of σy=100 MPa The value of τxy=75 MPa The orientation…

Q: Problem 2) As a result of loading, the rectangle with a = 25 mm and b = 18 mm deforms into a paral-…

Q: Determine the strain at the middle node for the below quadratic truss element. Let u, = -0.095 mm,…

Q: Fill in the blanks . Draw and label the Mohr’s circle. For sigma-yp = 15 ksf, does this fail? Find…

Q: The strain at point A on the bracket has normal components 250x106 and 550x106 in x and y…

A: Shear strain is the ratio of the angle of deformation to the actual length of the object. ε=δL L is…

Q: Given the stress cube below, represent the Mohr Circle, demonstrating the steps following: a)…

Q: Determine the principle stresses and the maximum in-plane shear stress.

Q: 3. Listed below is a combination of stresses acting at a point and referred to axes x and y in an…

Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…

A: Given data Initial Diameter = d = 1.95 inFinal Diameter = D =2.05 in

Q: The frame supports the triangular distributed load shown. Determine the normal and shear stresses at…

A: Reaction force acting ay point B is RB=900×32×3×13×13=450 N The cross section area is…

Q: At a particular point in a structural member a two-dimensional stress system exists where Or = 60…

Q: Explain the method of representing the combination of normal and shear stresses acting on any plane…

A: Let us take an incremental stressed element from any member.

Q: Two hard rubber blocks (G -334 kPa) are used in an antivibration mount to support a small machine,…

A: Given Data: Shear modulus, G=334 kPa Load applied, P=456 N

Q: natural strain at point B

A: Given; Figure shows the true stress and true strain hardening material.Point A is loading up…

Q: On the free surface of an aluminum [E = 10500 ksi; v = 0.33] component, the strain rosette shown was…

Q: 5 in. 8 in. A Two bars are used to support a load P. When unloaded, AB is 5 in. Iong, AC is 8 in.…

Q: 10.11. A delta rosette is placed on a steel plate and indicates the following strains: E1 = 400 µm/m…

Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

Four stress elements are shown below. All members have the same value for E (Young's Modulus) and v (Poisson's ratio).
Rank the members from largest to smallest absolute value of the normal strain in the y direction.
• View Available Hint(s)

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

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 10 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

The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y = 140 × l0-6, and xy = —350 x 10”. Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.
- 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?
A strain rosette (see figure) mounted on the surface of an automobile frame gives the following readings: gage A,310 × 10-6:gage B,180 × l0-6; and gage C. -160 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
Question: The stress components at point O of a part made of steel material (E = 210 GPa and v= 0.3) are given below. 25 40 - 20 40 30 35| MPа - 20 35 -10 a) Calculate the strain components (Exx, Eyy, Ezz, Yxy, Yxz and Yyz). b) Calculate the principal strain components (E,, E2, and E3) and the maximum shear stress (max). c) Draw the 3-D Mohr circle for the strain components.
uniform diameter d= 1.75 in. Segment (1) is an aluminum Ę₁ = 10000 ksi L₁ = 90 in. Segment (2) is a copper Ę₂ = 17000 ksi L₂ = 126 in. When Pis applied, a strain gage attached to copper segment (2) measures a normal strain of &2 = 1700 uin./in. in the longitudinal direction. What is the elongation of segment (1)? Answer in inch rounded-off to 3 decimal places L₁ A (1) Aluminum B L2 (2) Copper
In uniaxial loading the poisson's ratio is 0.30 and the strain in the x- direction is 250 x 10^-6 . What is the strain in the z- direction? a. -7.5 x 10^-5 b. 9.5 x 10^-5 c. -8.5 x 10^-5 d. 7.5 x 10^-5 Show the answer with complete solution
Part B - Principal Strains on the Oriented Element Determine the in-plane principal strains on the oriented element. Express your answers, separated by a comma, to three significant figures. ► View Available Hint(s) €1=, €2= Submit IVE ΑΣΦ 41 vec Previous Answers ?
The strain components, ex= 940 micro strain, ey= -360 micro strain and yxy=830micro strain are given for a point in body subjected to plane strain. Determine; a. Magnitude of the principal strains b. The direction of the principal strain axes c. The maximum in-plane shear strain. Confirm your answer by means of Mohr's circle of strain and determine the linear strain on an axis inclined at 20 degrees clockwise to the direction of ey
H.W. 3 The X- axis strains with oriented angle of the bone surface are shown in table X- axis strain (x 10-5) Oriented angle (degree) 2 3 -0.4 40 140 Determine the principal stresses. Known modulus of elasticity 8 GPa and Poisson ratio is 0.3.
v) A delta strain gauge is attached to the member at point ‘X’ as highlighted in the figure. During a particular stage of a lifting process, strain readings are recorded as detailed. Determine the magnitude and nature of the principal stresses acting on the member at point ‘X’, the maximum shear stress, and the angle of the principal planes. Young’s Modulus of elasticity = 205 GN/m2Poisson’s ratio = 0.31
Question 3: Please refer to the metal bar and its cross-section shown below. Two strain gages a and and b are attached to the bar as shown; note that 3 is the angle of their orientation with the x-axis. Assume: the Young's modulus of the metal = 16, 500 ksi; the Poisson's ratio of the metal = 0.33; P, = 13 kips; P, = 20 kips; d = 4.0 in.; t = 0.75 in.; L = 18 in.; and B = 40°. Determine the strains expected in the strain gages. 가 2 B b a H Ps N H y d
A steel thick cylinder of external diameter 150 mm has two strain gauges fixed externally, one along the longitudinal axis and the other at right angles to read the hoop strain. The cylinder is subjected to an internal pressure of 75 MPa and this causes the following strains: (a) hoop gauge: 455 x 106 mm/mm tensile; (b) longitudinal gauge: 124 x 10 mm/mm tensile. Find the internal diameter of the cylinder assuming that Young's modulus for steel is 208 GPa and Poisson's ratio is 0.283.