Determine the maximum bending stress acting at the cross-section a-a. The cross-section is solid circular with a diameter of 100 mm. Take the moment of inertia about the NA, 1 = 4.909 x 10-6 m4. a 30 kN 0.5 m 0.5 m Select one: 597 MPa 102 MPa 250 MPa 398 MPa 199 MPa 2 m D = 100 mm Time left 0:26:38
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- Below Figure shows the section of an angle purlin. A bending moment of 5 kN.m is applied to the purlin in a plane at an angle of 30 deg to the vertical y axis. If the sense of the bending moment is such that both its components Mx and My produce tension in the positive xy quadrant, calculate the maximum direct stress in the purlin, stating clearly the point at which it acts. * 100 mm E 10mm 30 C D -10mm 57 MPa. 89 MPa. Non Above O 72 MPa. 125mmof on If the I-flange beam is subjected to a shear force V= 20 kN, calculate the transverse shear stress at the point A (considered located on the web part). The area moment of inertia of that section about its neutral axis N.A. is INA = 44.167 x (10) m². Flange Web. Select one: O 10 Mpa O 4.95 MPa O 41 MPa O 100 MPa O50 MPa 20 mm 100 mm A 100 mm 25 mm 150 mm 25 mm Time left 0:46:01 sIf the beam is subjected to an internal moment of M = 100 kN*m, determine the bending stress developed at points A, B, and C. Sketch the bending stress distribution on the cross section. Construct the stress distribution in 2D similar to in-class examples, rather than isometrically similar to the textbook examples for clarity. 30 mm A B 300 mm M 150 mm 150 mm 30 mm
- Determine the torsional shear stress in the shaft section AB and BC. There is a fixed support at C that can resist a moment. (Image taken from Statics and Mechanics of Materials by Beer, Johnson, DeWolf and Mazurek) T₁ = 300 N-m 30 mm TB = 400 N-m 46 mm 055 Shear Stress in AB = Shear Stress in BC= B 0.9 m 0.75 m units: units:The simply supported beam is subjected to the force F-600 N and the uniform distributed load with intensity w=450 N/m. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(z) and M(2). Take 2 = 0 at point A. 19 W B F 2013 Michael Swanbom BY NC SA D Χ a. -b- - Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value α 4 m b 2 m с 3 m Determine the maximum shear force (magnitude) and its location in the beam, and the maximum bending moment (magnitude) and its location in the beam. Note: On an exam, you may be required to actually sketch the shear and moment diagrams, but there is no reasonable way to assess this on WAMAP. Maximum shear stress: Vmax Maximum bending moment: Max = N located at x = m Nm located at x = mS = 70
- The aluminium machine part shown below is subjected to a moment of M = 75 N.m. Determine the bending stress created at points B and A on the cross section. Sketch the results on a volume element located at each of these points. A- 50mm 50mm 100mm 100mm 20mm B- M=8kN-m 20mmThe 1.5-in diameter solid steel shaft is simply supported at the ends. Two Pulleys are keyed to the shaft where pulley B is of diameter of 4 in and pulley C is of diameter of 8 in. Transverse shear stress needs to be considered. 1) Draw the bending moment diagrams of shaft AD for My and M₂, and indicate the location and the magnitude of the maximum bending moments. 10 in 200 lbf 1000 lbf 10 in 500 lbf 100 lbf 10 in F G E1. 2. 10 mm 10 mm 3. 5 mm 100 mm A beam section as shown in the sketch is subjected to a bendingmoment of Mx = 4 kN.m and a shear force of V = 2.5KN. 50 mm 100 mm Calculate the position of the centroid and the the second moment of area of the section about the sentroid horizontally. Draw the bending stress distribution through the height of the beam by calculating the bending stress at the critical positions Draw the shear stress distribution trough the height of the beam by calculating the shear stress below the flanges and at the centroid. 4. Draw the stress condition below the flanges, at the centroid and at the top and bottom of the beam.(7) 5. Draw the shearflow through the section. Show calculations
- um bending stress acting at the cross-section a-a. The cross-section is solid circular with a dmd W n inertia about the NA, | = 4000 x 10 m?, 30 kN D =100 mmThe aluminum strut has a cross-sectional area in the form of a cross. It is subjected tothe Moment M = 8 KN.m. (i) Determine the bending stress acting at points A and B; (ii)Determine the maximum bending stress in the beam and sketch a three dimensional view of thestress distribution acting over the entire cross-sectional area.*RII-4. Determine the maximum bending stress in the handle of the cable cutter at section a-a. A force af 225 N is applied to the handles. The cross-sectional area is shown in the figure. 225 N -125 mm- 100 mm 18 mm 12 mm| 225 N