PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 10, Problem 5RP
(a)
To determine
The area moment of inertia of the triangular area about the x axis.
(b)
To determine
The area moment of inertia of the triangular area about the centroidal
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Determine the moment of inertia of the shaded areas with
respect to the its centroidal x axis.
10
- 90 mm -
20 mm
- -
40 mm
6-
A
B
80
30 mm
(mm)
-200-
Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes.
17 mm
Answers:
Yo
145 mm.
=
=
IN
i
120 mm-
MI
Yo
-xo
17 mm
120 mm-
17 mm
(106) mm4
(106) mm²
Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes.
18 mm
Answers:
Ixo =
Iyo
160 mm
i
135 mm-
= i
18 mm
135 mm-
18 mm
(106) mm4
(106) mm4
Chapter 10 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 10 - Determine the moment of inertia of the shaded area...Ch. 10 - Determine the moment of inertia of the shaded area...Ch. 10 - Determine the moment of inertia of the shaded area...Ch. 10 - Determine the moment of inertia of the shaded area...Ch. 10 - Determine the moment of inertia of tire area about...Ch. 10 - Prob. 13PCh. 10 - Prob. 21PCh. 10 - Determine the moment of inertia of the beams...Ch. 10 - Prob. 6FPCh. 10 - Prob. 7FP
Ch. 10 - Prob. 8FPCh. 10 - Determine the moment of inertia of the composite...Ch. 10 - Determine the moment of inertia of the composite...Ch. 10 - Prob. 29PCh. 10 - Determine the moment of inertia for the beams...Ch. 10 - Determine the moment of inertia for the beams...Ch. 10 - Prob. 36PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - Prob. 44PCh. 10 - Prob. 45PCh. 10 - Prob. 50PCh. 10 - Determine the moment of inertia for the beams...Ch. 10 - Prob. 52PCh. 10 - Prob. 53PCh. 10 - Prob. 54PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Prob. 66PCh. 10 - Prob. 67PCh. 10 - Prob. 84PCh. 10 - Prob. 85PCh. 10 - Prob. 87PCh. 10 - Determine the moment of inertia of the homogenous...Ch. 10 - Determine the moment of inertia of the...Ch. 10 - Prob. 90PCh. 10 - The concrete shape is formed by rotating the...Ch. 10 - The right circular cone is formed by revolving the...Ch. 10 - The pendulum consists of a 8-kg circular disk A, a...Ch. 10 - Determine the moment of inertia Ix of the frustum...Ch. 10 - Prob. 100PCh. 10 - Prob. 101PCh. 10 - Prob. 103PCh. 10 - Prob. 104PCh. 10 - Prob. 105PCh. 10 - Prob. 106PCh. 10 - Prob. 107PCh. 10 - Prob. 108PCh. 10 - Prob. 109PCh. 10 - Prob. 5RP
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- Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. 24 mm Answers: Yo 180 mm - H i +140 mm- pl Yo 24 mm 140 mm 1 24 mm (106) mm4 (106) mm 4arrow_forward6-10. Determine the moment of inertia of the shaded area of Fig. P6-9 with respect to the line y = 1 in. 8' P6-9arrow_forwardDetermine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -120 mm- 15 mm yo 165 mm ++-Xo 15 mm 15 mm 120 mm- Answers: INo (106) mm4 i i (106) mm4arrow_forward
- *6-84. Determine the moment of inertia of the composite area about the y axis. 150 mm 150 mm 100 mm 100 mm 75 mm 300 mmarrow_forwardDetermine the moment of inertia of the shaded area about the x-axis in two ways. The wall thickness is 23 mm on all four sides of the rectangle. 85 mm 23 mm 85 mm 390 mm Answer: Iy = i (106) mm4arrow_forwardDetermine the percent reductions in both area and area moment of inertia about the y-axis caused by removal of the rectangular cutout from the rectangular plate of base b and height h. y 0.24h 0.24h -0.60b- b Answers: Percent reduction in area NA = i Percent reduction in area % nly moment of inertiaarrow_forward
- Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. 23 mm Answers: Ixo FO 165 mm - 120 mm- i -To 23 mm 120 mm- 23 mm (105) mm² (106) mm²arrow_forwardDetermine the percent reductions in both area and area moment of inertia about the y-axis caused by removal of the rectangular cutout from the rectangular plate of base b and height h. 0.24h h 0.24h x- -0.68b- b Answers: Percent reduction in area nA = i % Percent reduction in area nly i moment of inertiaarrow_forwardDetermine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -135 mm- 15 mm 190 mm 15 mm 15 mm +135 mm- Answers: (106) mm4 i (106) mm4arrow_forward
- Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. F125 mm 24 mm 170 mm 24 mm 24 mm -125 mm- Answers: i (10°) mm4 Iyo (106) mm4 iarrow_forwardQuestion: For the figure shown below: 1- Locate the centroid C (x,y) of the shaded area 2- Determine the area moment of inertia of the shaded area about Yc y Yc 20 30 80 80 C (x,y) 50 30 -- X 60arrow_forwardDetermine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. 135 mm- 17 mm Yo 17 mm (106) mm² (106) mm² 165 mm Answers: Iyo = Mi -xo 17 mm 135 mm-arrow_forward
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