Using Pappus-Guldinus Theorems Find the volume For O, Rectangle,» Distance of Centroid from X- axis,i-e, (y)A, = (42) (46+19+21)= 3612 mmY = A1 Yit A2Y2 - A3Yz- A4 Y4= 21 mm -(A,TA2- Az-A4)& d = 46 tI9+2)43 mm .Tore ® triengle,y = (3612)(43) + (1247) (E) – (26 457) /23) – (10-257) (72087)(3612 + 1147-2645ス- 110-25)Az =(58)(85– 42)= 1247 mm2133 612.883681-6 8 8|=36.291 mm,- (85-42)43mmy = 36.2912 mm12 =mmFor 3 semi- Cireley - axis (mm)Az =42 - 4 (23) =32.238 mm= 23 mm.for © Quuree Arde.,Ay = T(21 - (1l0.25)7 mm-4とィ= 42-4(23).3スR2332.2384 Y4 = 86-4(2.)77,087 Mm+42X - axis (mm)Answer: V = 839,487.1532 mm3R21

To Determine Volume using Pappus-Guldinus Theorem.

Fore O, Rectangle, » Distance of Centroid fom x- axis, i-e, (7) A, = (42) (46 +19+21) = 3612 mm2 X, = 42 = 21 mm Y = A1 Y,t A2Y2 – A3Yz - A4 Y4 (AitA2- Az-Aq) & d = 46 t19+2) = 43 mm - Y = 3612)(43) + ( 1247) (5) – (26452) /23) – (10.257) (72083) 3612- +1147-2645ス - 10-25) Tore ® triangle, A2ニ (58)(85-42) = 1247 mm2 133 612.889 = 36.291 mm, 3681-6 8 8| -等 - 43 mm y = 36-2912 mm mm For ® semi- Cerele y - axis (mm) Az = T23)= 264.5) a mm 23 = 42 - 4 (23) = 32.238 mm - 23 mm. for © Quertee Clrele. Ay = A(21) = (110.25)* mm 4 X4 = 42-) = 32.238 3ス 4 Y4 = 86- 4(2.) 77.087 mm 42 x - axis (mm) Answer: V = 839, 487.1532 mm3

Fore O, Rectangle, » Distance of Centroid fom x- axis, i-e, (7) A, = (42) (46 +19+21) = 3612 mm2 X, = 42 = 21 mm Y = A1 Y,t A2Y2 – A3Yz - A4 Y4 (AitA2- Az-Aq) & d = 46 t19+2) = 43 mm - Y = 3612)(43) + ( 1247) (5) – (26452) /23) – (10.257) (72083) 3612- +1147-2645ス - 10-25) Tore ® triangle, A2ニ (58)(85-42) = 1247 mm2 133 612.889 = 36.291 mm, 3681-6 8 8| -等 - 43 mm y = 36-2912 mm mm For ® semi- Cerele y - axis (mm) Az = T23)= 264.5) a mm 23 = 42 - 4 (23) = 32.238 mm - 23 mm. for © Quertee Clrele. Ay = A(21) = (110.25)* mm 4 X4 = 42-) = 32.238 3ス 4 Y4 = 86- 4(2.) 77.087 mm 42 x - axis (mm) Answer: V = 839, 487.1532 mm3

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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