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. %3D Give your answer in mm4 to two decimal places. b1 d2 + b2 ɛp. b3
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- a) Determine the second moment of area (IXX) about the centroidal x-axis for the solid homogeneous beam section shown below, where the dimensions are b = 5.25 mm and d = 12.75 mm. Give your answer in mm4 to two decimal places. b) Determine the second moment of area (IYY) the about the centroidal y-axis for the solid homogeneous beam section shown below, where the dimensions are b = 5.25 mm and d = 12.75 mm. Give your answer in mm4 to two decimal places.Compute the coordinates of the centroid (,) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. ур C + 2013 Michael Swanbom cc 10 BY NC SA a*b* - a a → x Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 41 cm b 25 cm с 50 cm The x coordinate of the centroid is = cm. The y coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is I' The moment of inertia about the y' axis going through the centroid is I✓ cm4. cm4.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)
- For the beam l-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. %3D Give your answer in mm4 to two decimal places. b1 d2 -+ b2 d3 b3Compute the coordinates of the centroid (a, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. 2013 Michael Swanbom cc 9O BY NC SA C a – b a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 38 cm 19 cm 42 cm The x coordinate of the centroid is a cm. The y coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is Ip' cm4. The moment of inertia about the y' axis going through the centroid is I,' cm4. ||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.
- Compute the coordinates of the centroid (x, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. C a *b*a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 40 cm 23 сm 49 cm The x coordinate of the centroid is x cm. The coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is I,' cm4. The moment of inertia about the y' axis going through the centroid is I," cm4.Q5: Find the centroid of shaded part which is given in the figure below. 7:1 B=0 C = 2 D=5 3D.B m (2D.C)/2 m (2D.C)/2 m (2D.C)/2 m (2D.C)/2 m Radius of Circle: 4D.A m 1A.D m4) Listen For the composite area shown in the image below, if the dimensions are a 38 mm, b = 212 mm, c = 292 mm, and b 134 mm, determine the coordinate y (in mm) for its centroid location, measured from the bottom x-axis. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. C Your Answer:
- 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*.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)Compute the coordinates of the centroid (z, 9) of the area shown. Also compute the area moment of intertia about the z' and y' axes with origin at the centroid. 2013 Michael Swanbom BY NC SA a W. k d Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 6 mm 28 mm 7 mm 13 mm h 33 mm 5 mm w The z coordinate of the centroid is a = mm. The y coordinate of the centroid is j = 26.74 mm. The moment of inertia about the z' axis going through the centroid is I, mm*. The moment of inertia about the y' axis going through the centroid is Iy mmt.