Just answer (i)R=31.79h=56.68 (i) the location, ỹ, of the centroid of the composite area (use 4 significant figures for all values):R(3h/2Chh/2yBeam component IdentifierArea (mm?)Distance of centroid from x axis (mm)RectangleSemi-circleSemi-circleSemi-circleComposite beam A composite steel beam of strength, a, has a cross-section comprised of a semi-circle of radius, R,attached to the top of a rectangle of height, h, and semi-circles of radius, h/2, attached to the left andright side of the rectangle, as shown in the figure below. Values for the centroid location, F,, andsecond moment of area through the centroid, Iaa, of the semi-circle are also presented.The beam is subjected to a moment, Ma, and triangular distributed load of maximum magnitude, qo,as shown in the figure on the following page. Neglect the weight of the beam. Dimensions of thebeam and loading conditions have been shown in the table on the following page.Calculate, to four (4) significant figures:(i)the location, y, of the centroid of the composite area (as shown in the figure below),(ii) the second moment of area, la, through the centroid of the composite beam,

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Answered: the location, y, of the centroid of the…

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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3.1 Determine the location of the centroid for the cross-section shown below and draw a scaled sketch of the cross-section, clearly showing the centroid and indicate its distance from the selected origin. (Start your calculations be setting an origin from the bottom, left-most point on the cross-section). 3.2 Calculate the second moments of areas about the centroidal axes for the beam cross- section. 60 mm 10 mm y 10 mm 100 mm 10 mm 40 mm
For the beam I-section below, calculate the second moment of area about its centroidal x-axis (Ixxcentroid), where b1 = 10.50 mm, b2 = 2.50 mm, b3 = 38.50 mm, d1 = 1.50 mm, d2 = 36.50 mm and d3 = 12.50 mm. Give your answer in mm4 to two decimal places.
3.1 Determine the location of the centroid for the cross-section shown below and draw a scaled sketch of the cross-section, clearly showing the centroid and indicate its distance from the selected origin. (Start your calculations be setting an origin at the bottom, left-most point on the cross-section). 3.2 Calculate the second moments of areas about the centroidal axes for the beam cross- section. 100 mm y z 10 mm 10 mm 10 mm Figure 3: Cross-section ww OSt 100 mm
Figure 2a shows an asymmetric cross-section of solid beam, calculate the centroid for the beam section giving your answer in the form of (x̄, ȳ) relative to the origin O in millimetres (mm). Assume the beam section material is homogeneous and of uniform thickness. (show all work)
For the composite beam section in Figure Q2b, calculate the second moment of area (Ixx) about its centroid x-axis.
Calculate the centroid for the shaded portion of the figure as shown. Take b = 100 mm, b,=60 mm, bz = 30 mm, h= 75 mm, h=37.5 mm and R= 10 mm Radius R b. (Solve the problem in a paper and upload the file in a separate link provided. Also Enter only the va ues in the boxes below) The Centroid X in mm is The Centroid Y in mm is
y 1 m 2 m Im 2 m Find the centroid coordinate Xc, of the cross section, with respect to x-axis. Find the the second moment of area, Ix, of the cross section, with respect to the x-axis. Find the the second moment of area, Ixn, Of the cross section, with respect to the x-neutral-axis (the x-axis that passes through the centroid).
Calculate the centroid for the shaded portion of the figure as shown . Take b = 105 mm, b1=65 mm, b2 = 32.5 mm, h= 80 mm, h,=40 mm and R= 12 %3D %3D b2- Radius R ( Solve the problem in a paper and upload the file in a separate link provided. Also Enter only the values in the boxes below.) The CentroidX in mm is The Centroid Y in mm is
Consider the beam cross-section and the direction of moment (shown in side view) applied as shown in Figure Q2. All dimensions are in mm. Note the square hole in the cross-section. (a) Locate the neutral axis of the beam cross-section (y-coordinate from the bottom of the section). Please draw a larger schematic and neatly label all distances for calculating the neutral axis. (b) What is the area moment of inertia of the cross-section with respect to the neutral axis? (c) If the applied bending moment M=5kN.m, then determine the maximum bending stress (absolute value, tensile or compressive) anywhere on the beam.
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For the composite beam section in Figure Q6a, calculate the second moment of areaabout its centroidal x-x axis (Ixx centroid), where b1 = 125.50 mm, b2 = 25.75 mm,b3 = 36.35 mm, d1 = 78.00 mm and d2 = 24.00 mm Give your answer to 2 decimalplaces.
3.1)Determine the location of the centroid for the cross section shown in Figure 3 and draw a scaled sketch of the cross-section, clearly showing the centroid and indicate it's distance from the selected origin. (Start your calculations be setting an origin at the bottom, left most point on the cross section). 3,2)Calculate the second moment of areas about the centroidal axes for the beam cross-section from Figure 3.

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the location, y, of the centroid of the composite (use 4 significant figures for all values): area