Strain-gages are attached to the element subject to plane deformation, as shown in the figure, and the shape The displacements were measured as follows: Material properties of the element E=2.1.105 MPa, v=0.25 given in the form a) 1 = 407.5. 10-6 82 = 132.1. 10-6 b) ex = 343.9 10-6 sy=160 10-6 Ez = 170.3 10-6 accordingly calculate the principal strains and principal stresses for both cases 2 N 45° X

Strain-gages are attached to the element subject to plane deformation, as shown in the figure, and the shape The displacements were measured as follows: Material properties of the element E=2.1.105 MPa, v=0.25 given in the form a) 1 = 407.5. 10-6 82 = 132.1. 10-6 b) ex = 343.9 10-6 sy=160 10-6 Ez = 170.3 10-6 accordingly calculate the principal strains and principal stresses for both cases 2 N 45° X

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 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...

See similar textbooks

Similar questions

The area of the upper face of a rectangular block is .5mx.5m The lower face is fixed. The height of the block is 1cm. A shearing force applied to the top face produces a displacement of 0.015mm. Find the strain, stress and shearing force. Modulus of rigidity 4.5 x 10¹0 N/m².
The state of plane strain at a point has strain components of Px = -400(10-6), P y = 200(10-6), and gxy = 150(10-6), Fig. a. Determine the maximum in-plane shear strain and the absolute maximum shear strain.
Using the equations of strain in isotropic elasticity, find the stress tensor that cause the following strain state determined from an experiment (material has Young’s modulus of 190 GPa): ?? = 0.001 0.001 0 0.001 −0.002 0.0005 0 0.0005 0shear moduli is 70GPa.
We have a bolt with 33mm in diameter. The bolt has a shear stress-strain diagram shown in the diagram. Determine the shear strain developed in the shear plane of the bolt when P = 360,000N.
The area of the upper face of a rectangular block is .5mx.5m The lower face is fixed. The height of the block is 1cm. A shearing force applied to the top face produces a displacement of 0.015mm. Find the strain, stress and shearing force. Modulus of rigidity 4.5 x 10¹0 N/m². **Need asap pls. Thank you.
Please include a free body diagram Solve for: a) Normal strain in the x- direction −4.0 × 10^−34.0 × 10^−310 × 10^−3-10 × 10^−3 b) Normal strain in the y- direction −4.0 × 10^−34.0 × 10^−310 × 10^−3-10 × 10^−3 c) Total shear strain 0.6 deg.0.7 deg.0.8 deg.0.9 deg.
A material is subjected to the following strain system,ex=200x10-6, ey=-56x10-6,yxy=230x10-6. Using graphical method, determine A. The principal strains B. The directions of principal strain axes C. The linear strain on an axis inclined at 50o counter clockwise to the direction of ex Given that young's modulus for the material is 207GN/m2 and the poisson's ratio is 0.27, determine the principal stresses
In a forming process the diameter of the specimen is 1 cm and its length changes from 50 mm to 60 mm. Show the maximum force value on the graph of Force vs. True Strain plotted in Excel Program or any plotting program not by hand using the flow stress equation given below. σ= Kεn and σ=F/A Where the parameters are σ : True Stress in MPa K: Strength Coefficient, K=210 in MPa ε : True Strain, ε=ln (l/l0) n: Strain Hardening Exponent, n=0.27 F: Force in 10 A : Area in mm2 Take at least 3 digits after the decimal point. Specify the units. You can use Excel or any plotting program not by hand then paste your graph into the solution section.
The strain rosettes shown in Figures P13.50 were used to obtain normal strain data at a point on the freesurface of a machine component.(a) determine the strain components e x, e y, and γ xy at the point.(b) determine the principal strains and the maximum in-planeshear strain at the point.
A 11 in. inner diameter, 0.35 " wall thickness pipe is under a pressure of 2.5 ksi where strain gages installed along axial and circumferential directions register strains of 180 and 900 micro-strains (x10^-6), respectively. A) What is the Poisson's Ratio of this material and it's Elastic Modulus? B) In a uniaxial test, the pipe's material is observed to yield at a longitudinal strain of 0.1 in/in.in/in. Assuming a factor of safety of 2, the pipe can withstand impact energy of _______ lblb - in.in. per foot without suffering permanent deformation. C) If the pipe is depressurized and then subjected to a torque of 50 lblb - ft.ft., it will experience a shear strain of ________ rad.
By application of tensile force, the cross-sectional area of bar Pis first reduced by 30% and then by an additional 20% Another bar Q of the same material is reduced in cross-sectional area by 50% in a single step by applying tensile force After deformation, the true strain in bar Pand bar Q will, respectively be (a) 0.5 and 05 (b) 0.58 and 0.69 (c) 0.69 and 0.69 (d) 0.78 and 1.00
A bar of 6-mm in diameter is only allowed to decrease at a maximum of 3.96% of its total length. What is the maximum force (Newtons) that can be applied? Consider the shear modulus = 602 MPa, and the Poisson's ratio as 0.20. Express your answer in three decimal places.