The cross-section of a wooden, built-up beam is shown below. The dimensions are L= 170 mm and w = 30 mm.Determine the magnitude of the moment M that must be applied to the beam to create a compressive stress of σD = 28 MPa at point D. Also calculate the maximum stress developed in the beam. Themoment M is applied in the vertical plane about the geometric center of the beam.M =kN.mOmax =MPaWพLDพW

Answered: The cross-section of a wooden, built-up…

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

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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 mm
A 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*
1. 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 mm
For the beam shown at right, determine the following: P= 1800 lb a. Maximum tensile bending stress b. Transverse shear stress at a the junction of the "TEE" (i.e., 2" above the neutral axis). c. Transverse shear stress at the neutral axis - 7.5 ft- - 7.5 ft- (a) d. Draw the stress elements -10 in. representing the state of stress at the junction of the “TEE" and at the neutral axis. | 2 in. 4 in. -N- 1600 10 in. 8 in. 42 in.k- (b)
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 MPa
Find 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.
Find 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.
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 20mm
The 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 mm
4
The bending moment M is applied to the box beam in the x-y plane at the orientation show below. (a) Determine the maximum magnitude of the bending moment M so that the tensile bending stress in the member does not exceed 15 ksi. (b) Determine the angle that the neutral axis makes with the y-axis. (c) The position or positions on the beam where the maximum compressive bending stress occurs given your answer in a. Clearly indicate this on the figure below (also calculate the values) 4 in. B 4 in. M 6 in. 6 in.
Question 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 mm

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