Consider a metal rod with a critical resolved shear stress of 40 MPa for a specific crystallographic plane (hkl). The angle between the normal to the plane and the applied force is 30 degrees, and the angle between the slip direction and the force is 15 degrees. Two force levels of F1 = 75 N and F2 = 40 N is applied. The cross-sectional area of the rod is 1 mm^(2). Will the slip initiate at the two force levels? Select one: O a. O b. F1: Yes, F2: No F1: Yes, F2: Yes O c. F1: No, F2: Yes O d. F1: No, F2: No

Consider a metal rod with a critical resolved shear stress of 40 MPa for a specific crystallographic plane (hkl). The angle between the normal to the plane and the applied force is 30 degrees, and the angle between the slip direction and the force is 15 degrees. Two force levels of F1 = 75 N and F2 = 40 N is applied. The cross-sectional area of the rod is 1 mm^(2). Will the slip initiate at the two force levels? Select one: O a. O b. F1: Yes, F2: No F1: Yes, F2: Yes O c. F1: No, F2: Yes O d. F1: No, F2: No

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.7.5P: Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight...

See similar textbooks

Similar questions

Tensile test specimens are extracted from the "X" and "y" directions of a rolled sheet of metal. "x" is the rolling direction, "y" is transverse to the rolling direction, and "z" is in the thickness direction. Both specimens were pulled to a longitudinal strain = 0.15 strain. For the sample in the x-direction, the width strain was measured to be ew= -0.0923 at that instant. For the sample in the y-direction, the width strain was measured to be gw=-0.1000 at that instant. The yield strength of the x-direction specimen was 50 kpsi and the yield strength of the y-direction specimen was 52 kpsi. Determine the strain ratio for the x direction tensile test specimen. Determine the strain ratio for the y-direction tensile test specimen. Determine the expected yield strength in the z-direction. Give your answer in units of kpsi (just the number). If the sheet is plastically deformed in equal biaxial tension (a, = 0, to the point where & = 0.15, calculate the strain, 6, that would be expected.
The diagram below shows a microscopic metal rod with a single crystal structure whose orientation is indicated by the inset. A force of F = 14.9 N is applied to the rod. The cross-sectional area is 1.1 mm². Calculate the shear stress along the close-packed direction. Dogo ooooo a. 4.65 MPa O b. 6.08 MPa c. 5.09 MPa O d. 4.04 MPa O e. 5.53 MPa
The state of stress at a point in a loaded solid is given as [5 0 2 [0]=|0 0 0 MPa 20 -5 (a) Calculate the principal stresses (b) Plot the Mohr's circles for this point and calculate the maximum shear stress (c) Determine the principal directions only for the largest principal stress.
For many viscous materials, the viscosity n may be defined in terms of the expression deldt where o and dɛ/dt are, respectively, the tensile stress and the strain rate. A cylindrical specimen of a soda-lime glass of diameter 6 mm (0.24 in.) and length 250 mm (9.9 in.) is subjected to a tensile force of 9 N (2.02 Ib;) along its axis. If its deformation is to be less than 1.7 mm (0.067 in.) over a week's time, using Figure 13.14, determine the maximum temperature to which the specimen may be heated.
The diagram below shows a microscopic metal rod with a single crystal structure whose orientation is indicated by the inset. A force of F = 25.8 N is applied to the rod. The cross-sectional area is 1.9 mm². Calculate the shear stress along the close-packed direction. O a. 5.10 MPa O b. 6.10 MPa c. 4.66 MPa O d. 5.54 MPa Oe. 4.05 MPa
The compound axial member shown consists of a 20-mm-diameter solid aluminum [E=70 GPa] segment (1), a 24 mm-diameter solid alurminum segment (2), and a 16-mm-diameter solid steel [E=200 GPa) segment (3) Determine the displacements of member 1, member 2 and member 3. Answer in positive value if the deformation is elongation consequently. answer in negative value if the deformation is shortening.
The state of stress at a point is oy= -10 kpsi, oy=10 kpsi, oz=-20 kpsi, Tyv=5 kpsi, Tyz= 2 kpsi, and Tzx= -20 kpsi. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. What is the maximum shear stress for this case? The maximum shear stress is kpsi.
The plastic distorts as shown by the dashed lines. (Figure 1) The dimensions are L = 460 mm, H = 345 mm, d₁ = 3 mm, d₂ = 5 mm, d3 = 13 mm, d4 = 8 mm, d5 = 3 mm, and de = 6 mm. Figure H B A dz dg ds + 1 of 1 Part A Determine the shear strain Yzy at corner A. Express your answer to three significant figures and include appropriate units. ol Di μA ? (YA)zy = Value Units Submit Request Answer Part B Determine the shear strain Yzy at corner B. Express your answer to three significant figures and include appropriate units. Di μA ? (YB)Ty = Value Units Submit Provide Feedback Request Answer
(a) Construct Mohr's circle for an element in a uniaxial state of stress (b) Use this Mohr's circle to derive the equation for the normal stress On and shear stress En on the n-face. The equations should depend on Ox and θ (c) Use the Mohr's circle to determine the planes on which the maximum shear stress acts. Sketch a properly oriented maximum-shear-stress element and indicate the normal and shear stresses acting on its faces. Ơn nt o, Note: for (b), the angle θ is between 0 and 90° and is positive
The diagram below shows a microscopic metal rod with a single crystal structure whose orientation is indicated by the inset. A force of F = 28.4 N is applied to the rod. The cross-sectional area is 0.6 mm². Calculate the shear stress along the close-packed direction. ooog OOOO a. O b. 21.26 MPa O c. 14.11 MPa O d. 19.32 MPa O e. 17.78 MPa 16.23 MPa
Slip in Single Crystals 2. Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at angles of $ and λ, respectively, with the tensile axis. If the critical resolved shear stress is TCRSS, will an applied stress of σ cause the single crystal to yield? If not, what stress will be necessary? Use = 43.1° ; λ = 47.9° ; TCRSS = 20.7 MPa ; σ = 45 MPa
Assume the following elastic loading exists on ablock of copper:σX = 325 MPa; σY = 80 MPa; and τXY = 40 MPaCalculate eX and eZ for this block, assuminga. that it is a random polycrystalline material.b. that it is a single crystal with the tensile and shearaxes lining up along unit cell axes.c. Explain why the relative strain values you calculated along the X axis make sense for the two cases,based on the elastic anisotropy of copper.