Problem 6. Consider the following stress state:[6 4 0112 0 ksi0a. Determine the corresponding strains if the Young's modulus and Poisson's ratio areequal to 10,000 ksi and 0.25, respectively.[0] = 4Lob.Determine the principal stresses.c. Determine the maximum shear stress.d. Determine the angle the axes need to be rotated around the z-axis to obtain themaximum shear Txy stress.e.Can this stress state be a result of a plane stress problem?f. Can this stress state be a result of a plane strain problem?

Given: σ=6404120006 ksi Young's Modulus ,E=10000 ksi Poisson Ratio ν=0.25

Problem 6. Consider the following stress state: [6 4 01 [a] 4 12 0 ksi Lo 0 6] Determine the corresponding strains if the Young's modulus and Poisson's ratio are equal to 10,000 ksi and 0.25, respectively. Determine the principal stresses. b. Determine the maximum shear stress. d. Determine the angle the axes need to be rotated around the z-axis to obtain the maximum shear Txy stress. e. Can this stress state be a result of a plane stress problem? f. Can this stress state be a result of a plane strain problem? ܤܤ

Problem 6. Consider the following stress state: [6 4 01 [a] 4 12 0 ksi Lo 0 6] Determine the corresponding strains if the Young's modulus and Poisson's ratio are equal to 10,000 ksi and 0.25, respectively. Determine the principal stresses. b. Determine the maximum shear stress. d. Determine the angle the axes need to be rotated around the z-axis to obtain the maximum shear Txy stress. e. Can this stress state be a result of a plane stress problem? f. Can this stress state be a result of a plane strain problem? ܤܤ

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

Similar questions

Consider the 2-D state of stress shown below. Using the provided scales graph the Mohr's Circle for the 2-D state of stress with “full" details II-Obtain the Principal Stresses, the Maximum Shear Stress, and complete the table below III- Draw the Planes of Principal and Maximum Shear Stresses in the space provided below Provide "full" details and Use 3 Sig. Fig. in this problem Oy = 15 Ksi Tcw > S y Ox =10 Ksi Тух 5 Ksi 10 5 -20 -15 -10 5 10 15 20 5 10 Tccw > S' O Avg. TMax. 01 02 Op1
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S=600 psi, Sy = 2900 psi, and S 790 psi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (c) Show these stresses on an appropriate sketch (e.g, see Fig. 12.15 or Fig. 12.16) (d) Determine the absolute maximum shear stress at the point. Sy Part 1 Calculate the average normal stress and determine the radius of Mohr's Circle. Then draw Mohr's Circle for this state of stress. Answer: psi R = psi
A brittle material made of ASTM grade 30 cast iron has ultimate strength in tension of 31 kpsi and ultimate strength in compression of 109 kpsi and undergoes the following plane of stress state: o, = 20 kpsi and Tyy = 10 kpsi (CW). a) using the 3D Mohr's circle, find all three principal normal stresses. b) using the Brittle-Coulomb-Mohr theory and Modified-Mohr theory, find the factors of safety for the given plane of stress state.
Q5: At a point in a strained material the stresses acting on planes at right angles to each other are o, 30, MN/m² tensile, together with associated shear stresses which assumed clockwise in effect on oy plane. If the maximum principal stress is limited to 1002 MN/m² tensile, and xy-60 MN/m², calculate: (a) the magnitude of the o, and oy; (b) the values of the maximum and minimum principal stresses; (c) the directions of the principal planes; (d) the maximum shear stress.
M13.6 Principal stresses from rosette data scenes -200 µE 23 Eb = 200 με Ec 500 µE 30° 30° Ex (LE) a Ey (µE) Yxy (Lurad) The strain rosette shown was used to obtain normal strain data at a point on the free surface of a steel (E = 200 GPa; v = 0.32) plate. Op1 (MPa) Determine the normal strains, the shear strain, and the principal stresses in the x-y plane. Op2 (MPa) Try One 1st 2nd 3rd attempt enter
Problem 2: Use an eigenvalue approach to solve for the principal stresses and directions for the state of stress shown below. Show the principal stresses on a properly oriented element of material. 20 mPa
3. Assume the plane stress state: ơ1 = 0, 02 = 20, T12 = 15 (all stresses in ksi). If oz alone is increased until the maximum shear stress t1, in the material reaches ±20 ksi, what is the value of o, at this point? HINT: this is relatively easy to figure out if you construct a Mohr's circle for the initial stress state and then consider what happens if o, is replaced with Ao2 and you solve for A when the maximum shear stress (from the circle geometry) reaches ±20 ksi.
Calculate the principal stresses to the given state. Calculate the angle of rotation in the x-y plane. Calculate the extreme shear stresses. Are the extreme shear stresses the maximum shear stresses? Explain, Why or why not?
The cantilevered rectangular bar is subjected to the force of 5 kip. Suppose that L = 17 in. (Figure 1) Figure 1.5 in. A 1.5 in. 1 in. 1 in. B L 1 of 1 > 1.5 in. 1.5 in.j T 3 in. H 3 in. 5 kip Part A Determine the principal stresses at point A Express your answers in kilopounds per square inch to three significant figures. Enter your answers separated by a comma. 01,02 = Submit Provide Feedback ΓΙ ΑΣΦ | | Request Answer vec 5 ? Review ksi Next >
PROBLEM 3. The stress condition at one point in the tail region of the National Combat Aircraft is shown in the figure. (a) Calculate the principal stresses (b) Calculate the maximum in-plane shear stress and the average normal stress by analytical method and plotting the Mohr's circle. For each case, determine the element orientation and plot the stress state. (c) Calculate the maximum absolute shear stress at the same point. 40 MPa TAI 200 MPa 80 MPa
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 120 MPa, Sy = 163 MPa, and Sxy = 65 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point. Sy Sxy Sx
Q-1 Figure Q-1, below, shows Mohr’s circle for a point in a physical object that is subjected to plane stress. Determine the stresses σx, σy, and τxy, and show them on a stress element, properly oriented with reference to x-y axes. Determine the principal stresses σ1, σ2, and τmax and show them on a stress element properly rotated with respect to the x–y element Determine the stresses σn, σt, and τnt, and show them on a stress element that is properly rotated with respect to the x–y The sketches must include the magnitude of the angles w.r.t. positive x-axis as well as the angle between the x and n axes, and an indication of the direction of rotations (i.e., either clockwise (c.w.) or counterclockwise (c.c.w.)).