Chapter10

Chapter10

(Parte 1 de 2)

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x 2 m2 m

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x 2 m2 m

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y2  x31 m

x 1 m

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y2  x31 m

x 1 m

10 Solutions 44918 1/28/09 4:21 PM Page 930

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10 Solutions 44918 1/28/09 4:21 PM Page 931

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10 Solutions 44918 1/28/09 4:21 PM Page 932

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x O

y  2x42 m

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x O

y  2x42 m

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•10–9.Determine the polar moment of inertia of the area about the axis passing through point .Oz

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x O

y  2x42 m

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10–10.Determine the moment of inertia of the area about the xaxis.

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x 2 in.

10–1.Determine the moment of inertia of the area about the yaxis. y x 2 in.

10 Solutions 44918 1/28/09 4:21 PM Page 936

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•10–13.Determine the moment of inertia of the area about the yaxis.

1 in.

1 in.

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10–14.Determine the moment of inertia of the area about the xaxis.Solve the problem in two ways,using rectangular differential elements:(a) having a thickness of dx,and (b) having a thickness of dy.

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1 in.1 in.

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10–15.Determine the moment of inertia of the area about the yaxis.Solve the problem in two ways,using rectangular differential elements:(a) having a thickness of dx,and (b) having a thickness of dy.

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1 in.1 in.

10 Solutions 44918 1/28/09 4:21 PM Page 939

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y (b  x)h––b

x b

•10–17.Determine the moment of inertia of the triangular area about the yaxis.

y (b  x)h––b

x b

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10–19.Determine the moment of inertia of the area about the yaxis.

y x2 h—b2

10–18.Determine the moment of inertia of the area about the xaxis.

y x2 h—b2

h 10 Solutions 44918 1/28/09 4:21 PM Page 941

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8 in.

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•10–21.Determine the moment of inertia of the area about the yaxis.

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8 in.

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10–2.Determine the moment of inertia of the area about the xaxis.

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y  2 cos (x)––

2 in.

4 in.4 in.

10–23.Determine the moment of inertia of the area about the yaxis. y

y  2 cos (x)––

2 in.

4 in.4 in.

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10 Solutions 44918 1/28/09 4:21 PM Page 945

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•10–25.Determine the moment of inertia of the area about the axis.y y

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10–26.Determine the polar moment of inertia of the area about the axis passing through point O.z y

10–27.Determine the distance to the centroid of the beam’s cross-sectional area;then find the moment of inertia about the axis.x¿

2 in. 4 in.

1 in.1 in.

x y y 6 in.

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*10–28.Determine the moment of inertia of the beam’s cross-sectional area about the xaxis.

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2 in. 4 in.

1 in.1 in.

x y y 6 in.

•10–29.Determine the moment of inertia of the beam’s cross-sectional area about the yaxis.

2 in. 4 in.

1 in.1 in.

x y y 6 in.

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10–30.Determine the moment of inertia of the beam’s cross-sectional area about the axis.x y

15 m15 m 60 m60 m

50 m 50 m

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cross-sectional area about the axis.y y

15 m15 m 60 m60 m

50 m 50 m

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x 150 m300 m

100 m 100 m

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•10–3.Determine the moment of inertia of the composite area about the axis.y y x 150 m300 m

100 m 100 m

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10–34.Determine the distance to the centroid of the beam’s cross-sectional area;then determine the moment of inertia about the axis.x¿ x x¿C

50 m50 m 75 m

75 m 100 m

25 m 100 m

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10–35.Determine the moment of inertia of the beam’s cross-sectional area about the yaxis.

x x¿C

50 m50 m 75 m

75 m 100 m

25 m 100 m

*10–36.Locate the centroid of the composite area,then determine the moment of inertia of this area about the centroidal axis.x¿ y y

1 in.1 in.

2 in. 3 in.

x y

3 in.

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•10–37.Determine the moment of inertia of the composite area about the centroidal axis.y

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1 in.1 in.

2 in. 3 in.

x y

3 in.

10–38.Determine the distance to the centroid of the beam’s cross-sectional area;then find the moment of inertia about the axis.x¿

100 m 200 m

50 m50 m y x y x¿

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10–39.Determine the moment of inertia of the beam’s cross-sectional area about the xaxis.

100 m 200 m

50 m50 m y x y x¿

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100 m 200 m

50 m50 m y x y x¿

10 Solutions 44918 1/28/09 4:2 PM Page 957

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cross-sectional area about the axis.x y

50 m50 m

15 m 115 m

7.5 m x

10 Solutions 44918 1/28/09 4:2 PM Page 958

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10–42.Determine the moment of inertia of the beam’s cross-sectional area about the axis.y y

50 m50 m

15 m 115 m

7.5 m x

10 Solutions 44918 1/28/09 4:2 PM Page 959

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10–43.Locate the centroid of the cross-sectional area for the angle.Then find the moment of inertia about the

6 in. 2 in.

6 in.

x 2 in.

*10–4.Locate the centroid of the cross-sectional area for the angle.Then find the moment of inertia about the

6 in. 2 in.

6 in.

x 2 in.

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•10–45.Determine the moment of inertia of the composite area about the axis.x

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150 m150 m 150 m

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10–46.Determine the moment of inertia of the composite area about the axis.y

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150 m150 m 150 m

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10–47.Determine the moment of inertia of the composite area about the centroidal axis.y

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(Parte 1 de 2)

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