5. Two forces act on the solid circular rod (r=.005 m) as shown. Using Mohr's circle, determine the principal stresses and the absolute maximum in plane shear stress at point A. 100 mm 150 mm 500 N V 300 N -•64- o (M Pa) 6.l12 -64 T (MPa) Taug = 6.l12 R=Vo2037+ 3.0562 =3.062 M Pa O; = R+ Jarg; 0,=60119MPQ t 3.0 0056 M Pa T,= Oava - R; 2 0068 MPaa Therefore Tabs =R= 3.062MPaa max

5. Two forces act on the solid circular rod (r=.005 m) as shown. Using Mohr's circle, determine the principal stresses and the absolute maximum in plane shear stress at point A. 100 mm 150 mm 500 N V 300 N -•64- o (M Pa) 6.l12 -64 T (MPa) Taug = 6.l12 R=Vo2037+ 3.0562 =3.062 M Pa O; = R+ Jarg; 0,=60119MPQ t 3.0 0056 M Pa T,= Oava - R; 2 0068 MPaa Therefore Tabs =R= 3.062MPaa max

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 7.3.1P: The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the...

See similar textbooks

Similar questions

The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.
An clement m plane stress from the frame of a racing car is oriented at a known angle 8 (sec figure). On this inclined clement, the normal and shear stresses have the magnitudes and directions shown in the figure. Determine the normal and shear stresses acting on an clement whose sides are parallel to the xy axes, that is, determine crv, tr(_, and t. Show the results on a sketch of an clement oriented at B = 10
Solve the preceding problem if the norm al and shear stresses acting on the element are sx = 2100 kPa, sy= 300 kPa, and txy= -560 kPa, and the seam is oriented at an angle of 22.5° to the clement.
6. The figure below shows the geometry and loading of segment of a crankshaft. The diameter of the upper shaft is 20mm. Determine the principal stresses and the maximum shear stress at point A, which is located on the surface of the upper shaft at the zo axis. b-80 mm Xo bz = 120 mm by- 40 mm P-LOKN
For the shaft shown below, determine the normal and shear stresses acting on the element located at point A, including stress concentrations. Then draw the stress element at A with the applied stresses and determine the three principal stress (0₁, 2 and, σ3) using Mohr's circle. r = 0.0042 m, d = 0.03 m, D = 0.033 m, T = 250 Nm P = 1500 N, M = 300 Nm, A M M DEHRƏC T d T P P r
800 N D 120 N.m d = 8 cm 600 N Q / If the cross section of the femur can be approximated as a circular tube, determine the state of stresses on the 160 N.m points A and B at section due to the loads as shown in figure. r. = 22 mm n = 18 mm В L = 0.15 m
3. Listed below is a combination of stresses acting at a point and referred to axes x and y in an elastic material. Using Mohr’s circle of stress determine the principal stresses at the point and their directions for each combination. 1}sigmax -60 n/mm2 , sigmay -36n/mm2 ,TAUxy=5n/mm2 2}}sigmax 30 n/mm2 , sigmay -50n/mm2, TAUxy= 30n/mm2
The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Draw Mohr's circle and show the stresses on the circle. 15 ksi 23 ksi 14 ksi
A machine component is fabricated from a bent tube as shown below. One part of the tube lies along the z- axis, and the other part is parallel to the y-axis. The outside diameter of the tube is do 122 mm and its inside diameter is dį = 108 mm. A force F = 8.5 kN acts along a line from point to point D. Determine the principal stresses and the absolute maximum shear stresses at points A and B. Note that point A lies along the y-axis and point Blies along the x-axis. Given: • L₁ 258 mm L₂ = 118 mm • L -281 mm LA-602 mm 4 P (α₂₁)A- (₁2) A (Tmax) A L2 Z ²1 00 B L₁7 number (rtol=0,01, atol=1e-05) number (rtol-0.01, atol-1e-05) number (rtol-0.01 atol-le-057 F 0 MPA LA D L3 y 0 0
800 N 120 N.m d = 8 cm 600 N Q /If the cross section of the femur can be approximated as a circular tube, determine the state of stresses on the 160 N.m points A and B at section due to the loads as shown in figure. T. = 22 mm n = 18 mm tu Sl'o = I
6kN and 1.0KNM loads are applied to the top of the 62-mm-diameter cast-iron as shown. Determine the principal stresses (max and min normal stresses), principal planes (orientation of plane for max-min normal stresses) and max shear stress by using Mohr's circle. Hint: Use given coordinate system. So, H is on x-z plane and K is on y- z plane 1.0 kN.m 6 kN X 220 mm
Problem 2: For the shaft shown below, determine the normal and shear stresses acting on the element located at point A, including stress concentrations. Then draw the stress element at A with the applied stresses and determine the three principal stress (0₁, 02 and, 03) using Mohr's circle. r= 0.0042 m, d = 0.03 m, D = 0.033 m, T= 250 Nm P = 1500 N, M = 300 Nm, A M T J.C₁ P r M T Di d