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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Question 1: 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= 98 kNm mm A= 208 mm B= 158 mm B mm Solution: The moment of inertia of the cross-section about z and y axes are 1 AB³ 12 |(10-) m* 1 ВАЗ — 12 I, |(10) m* = For the bending about z axis, c = m Mc O pax MPа Iz For the bending about y axis, c = m Mc MPа Iy max z MPa KN=M Omax Y MPa. M KN-M MPa O max Z Omax Y MPa
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
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
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
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.
1. kN along Z-axis and a shear force of 2 kN along Y-axis. The other end of the axle is fixed to a rigid wall. 1) Calculate all internal loadings on the cross section through the point A. 2) Calculate the stress at point A due to each internal loading. The solid axle has a diameter of 40 mm. It is subjected to a shear force of 1 centroid of a semicircular area, radius =r 4r Rigid Wall 1 kN 0.4 m 2 kN
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
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 (106) m4. Flange Web Select one: O 41 MPa 10 Mpa O 4.95 MPa O O 50 MPa 100 MPa 20 mm 100 mm A 100 mm 25 mm 150 mm 25 mm
If the angle of the moment M = 170 kN.m on the square section with a side length b = 160 mm in the figure is e = 45 °, which of the following is the highest compressive stress in the section in MPa?

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