Consider the area in (Figure 1) with a = 100 mm. Iry=-44.00(106) mm ¹. Figure 60 mm 80 mm < 1 of 1 Determine the maximum principal moment of the composite area with respect to a set of principal axes that have their located at the centroid C Express your answer to three significant figures and include the appropriate units. Imax= Value Submit Part B Request Answer C pw ? 4 Units Determine the minimum principal moment of the composite area with respect to a set of principal axes that have their orig located at the centroid C. Express your answer to three significant figures and include the appropriate units. SWO

Consider the area in (Figure 1) with a = 100 mm. Iry=-44.00(106) mm ¹. Figure 60 mm 80 mm < 1 of 1 Determine the maximum principal moment of the composite area with respect to a set of principal axes that have their located at the centroid C Express your answer to three significant figures and include the appropriate units. Imax= Value Submit Part B Request Answer C pw ? 4 Units Determine the minimum principal moment of the composite area with respect to a set of principal axes that have their orig located at the centroid C. Express your answer to three significant figures and include the appropriate units. SWO

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 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...

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Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020 (channel with a nominal depth of 10 in., weighing 201b/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following properties for the cross section: A=5.88in.2,Ix=78.9in.4, and Iy=2.81in.4. If two of these channels are welded together as shown in Fig. (b), find Ix and Iy for the resulting cross section.
For the area below, evaluate 1. The (x,y) coordinates of the centroid (please mark your origin or reference point on the diagram) 2. The 2nd moments and product of area in centroidal-based xy (horizontal-vertical) coordinates 3. The principal 2nd moments of area, and the direction of the first principal axis relative to the horizontal (x) axis (anticlockwise positive) 50 75 30 150 60 50 15 Figure 1: Cross section (all dimensions in mm) Quantity Xc (please mark your origin on the diagram) Yc (please mark your origin on the diagram) Ix ly Ixv I₁ I₂ a1 (please show the direction) Value 30 Units
Find the centroid of the given plate. The values of B = 105 mm, D = 95 mm, b=D72 mm & d=17 mm. (Enter only the values in the boxes by referring the unit given in bracket) d. D (i) The area of the full triangle (unit is in mm2)=. (ii) The area of the rectangular hole (unit is in mm?) = (iii) The X value is (unit in mm) = (iv) The Y value is (unit is in mm)
For the composite area shown in the image below, if the dimensions are a = 38 mm, b = 240 mm, c = 276 mm, and b = 124 mm, determine its area moment of inertia Ī (in 106 mm²) about the centroidal horizontal X-axis (not shown) that passes through point C. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. 1 a
Compute the coordinates of the centroid (, y) of the area shown. Also compute the area moment of intertia about the x and y axes shown in the figure and the x' and y' axes with origin at the centroid. y y = a/bx BY NC SA 2016 Eric Davishahl Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value а 2.5 in 1.1 in1 (Note the -1 exponent only applies to the unit, not the number.) 8 in The x coordinate of the centroid is a = in. The y coordinate of the centroid is j in. The moment of inertia about the x axis is 1, in“. The moment of inertia about the y axis is Iy in“. The moment of inertia about the x' axis going through the centroid is I' in“. The moment of inertia about the y' axis going through the centroid is Iy in“.
Compute the coordinates of the centroid (î, g) of the area shown. Also compute the area moment of intertia about the r' and y' axes with origin at the centroid. 2013 Michael Swanbom cc BY NC SA a k-d Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 14 mm 111 mm 12 mm d 45 mm h 89 mm w 22 mm The z coordinate of the centroid is a = mm. The y coordinate of the centroid is j mm. The moment of inertia about the z' axis going through the centroid is Iz mm. The moment of inertia about the y' axis going through the centroid is Iy = mm*.
Compute the coordinates of the centroid (a, g) of the area shown. 2013 Michael Swanbom BY NC SA a k d → Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 4 mm b 22 mm 5 mm d 9 mm h 26 mm w 3 mm The a coordinate of the centroid is ā = mm. The y coordinate of the centroid is j mm.
3) A right circular cone of 30 mm diameter and 60 mm height is cut from a cylinder of 50 mm diameter and 120 mm height as shown in the figure. Find the position of the CG of the body from its base. 50 Ans CG of the given section is at (0mm, 62.87mm,0mm)
C0nsider the figure bel0w where each square is 1 ft on a side and A =58lb, B =58lb, and C =182lb. Calculate the resultant m0ment of the f0rces (in lb-ft) about point O. (Answer: -690.19lb-ft)
Find the centroid of the plate shown in figure. Where B = 85 mm, b= 16 mm, d =48 mm, y = 21mm (ENTER ONLY THE VALUES IN THE BOXES BY REFERING THE UNITS GIVEN IN THE BRACKET) out of B b question ) The Area of full Triangle (unit in mm) is (ii) The Area of rectangular hole (unit in mm2) is = (ii) The X value (unit is in mm) = (iv)The Y value (unit is in mm) = SEC 4-VIVA- Theo srsO PREMIUM SOUND f6 f7 18 19 f10 f11 f3 米 f4 f5 IOI
50 mm 150 mm 150 mm 300 mm find the moment of inertia for this exercise, with the following formulas: Polar Jo= Iox + + Toy Iox - Icx + Adg² Toy = Icg + dobe ² Caculation of centroid attached below. use it to solve the question in red box asap Som Av 3com for Portion A₁ - the figure is symme about y-aris. 2=0. AL 120mm AALD Area of A₁ = 300x50 = 15000 Y₁ = y₁ y = 300 for Pation A2 Area Az = 50x300 = 15000 By Considering Centroid, from the Bottom of the section. 300+ 50 = ₁ + 3/2 = 325 Centroid (ā, y) = = [0₁ SE = 50mm A, Ya+ A₂4 0, A₁+A₂ 15000x150 +15000x325 15000 15000 (0.237.5)
Determine the centroid for the homogenous solid section shown below in Figure Q5a, where d₁ = 120.00 mm, d2 = 80 mm and b₁ = 65.00 mm. Give your centroid coordinates (x, y) in millimetres relative to the datum point at origin, O. Give your answer to 2 decimal places. di y 0 b1 Figure Q5a d₂ X