Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- Two equal and opposite couples of magnitude M = 23 kN•m are applied to the channel-shaped beam AB. The cross-section is shown, with the length of CD as L = 133 mm. Determine the maximum compressive stress in the cross-section. (The result is accurate to one decimal place, in the unit of MPa. Please write down only the absolute value of the final result) M A M' B 180 mm L E D -36 mm 30 mm 30 mmarrow_forwardA member having the dimensions shown is used to resist an internal bending moment of M kNm. Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown) (b) about the y axis. Sketch the stress distribution for each case. Take: M= 90 kNm A mm A= 200 mm B= 150 mm B mm Solution: The moment of inertia of the cross-section about z and y axes are I;-4 1 - AB³ 12 (10) m* I BA = (10) m*arrow_forward1. Determine the moment M that should be applied to the beam in order to create a compressive stress at point D of op=30 MPa. Also sketch the stress distribution acting over the cross section and compute the maximum stress developed in the beam. A 25 mm M 150 mm `B - 25 mm 150 mm 25 mm 25 mmarrow_forward
- A beam section has the z-axis and y-axis as the principal centroidal axes and I₂ = 15 x 106 mm and I, = 8 x 10 mm. The beam carries a moment with components M₂ = 5 kN.m and M₁ = -4 kN.m. What is the stress at the location z = 35 mm and y = 60 mm within the beam section? Show your work Select one: a. -2.5 MPa b. 2.5 MPa c. Od. 37.5 MPa -37.5 MPaarrow_forwardFind the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where M₂ = 10 kip-in if the dimensions of the section are given in ips units, or M₂ = 1.13 kN·m if the dimensions are in Sl units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. From the figure, с - 12.5 B A y I 50 100 75 12.5- 12.5 25 D 100 The area is determined to be 3750 mm² The distances from the neutral axis to the top and bottom surfaces are determined to be 57.292 The second moment of area is determined to be 4.293 x 106 mm4. mm and 42.708 ✪ mm.arrow_forwardFind the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where M₂ = 10 kip-in if the dimensions of the section are given in ips units, or M₂ = 1.13 kN·m if the dimensions are in Sl units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. From the figure Z 1 in 112 in y in → ← ¹ in 12 in D C B A ++ in The area is determined to be 2.0625 in². The distances from the neutral axis to the top and bottom surfaces are determined to be 0.858 x in and The second moment of area is determined to be 0.447 in 4. 1.017 xin.arrow_forward
- 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 20mmarrow_forwardThe beam in (Figure 1) is made from three boards nailed together as shown. If the moment acting on the cross section is M=650N.m determine the resultant force the bending stress produces on the top board. " 20 mm 200 mm M 25 mm 150 mm 20 mmarrow_forward4arrow_forward
- The simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joists are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is sallow = 1500 psi, determine the height h that will cause the beam to reach both allowable stresses at the same time. Also, what load P causes this to happen? Neglect the stressconcentration at the notch.arrow_forwardQuestion 5 A member having the dimensions shown is used to resist an internal bending moment of 30 N.m. Determine the maximum stress in the member if the moment is applied about the z-axis 200 150 mmarrow_forwardThe beam is made from three boards nailed together as shown. If the moment acting on the cross section is M = 1 kip # ft, determine the maximum bending stress in the beam. Sketch a three-dimensional view of the stress distribution acting over the cross section.arrow_forward
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