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,

Answered: Image /qna-images/answer/3016960f-35b0-4650-88a9-540c1e13378f.jpg

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

Engineering

Mechanical Engineering

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

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

See similar textbooks

Similar questions

...
b. find the second moment of area of a cross section OC. find the centroid of a cross section O d. none of these options If the "I" value of beam cross section is 6,400,000 mm and the maximum distance from the neutral axis of the cross section to the top and bottom edges of the beam cross section is 129 mm, what is the section modulus of the beam? Note: Give your answer in mm³ Note: Do NOT include units in your answer. Answer: X A typical value for the stiffness of aluminium alloy is... Select one: a. 200 GPa b. 72 GPa
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)
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
..
See pictures for details
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.
For the composite beam section in Figure Q2b, calculate the second moment of area (Ixx) about its centroid x-axis.
For the composite beam section in Figure Q6a, calculate the second moment of area about 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 decimal places. b2 y dz b1 b3 Figure Q6a d1 X
6. Determine the ratio a/b for which centroid will be located at point 'O' for a wire bent as shown in figure. (Ans: 3) b.
Q5(a) The cross section of an I-beam with dimensions are shown in Figure Q5(a). Determine the centroid ỹ of the beam's cross-sectional area. 12 cm 12 cm 3 cm 27 cm 6 cm 3 cm 3 cm Figure Q5(a) (b) The cross section of the composite area is shown in Figure Q5(b). Determine the centroid ỹ and the moment of inertia about the x ' axis. I cm 1 cm 5 cm C 2 cm 3 cm l+ 3 cm Figure Q5(b)
please help