Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 6.5, Problem 17FP
Determine the moment of inertia of the cross-sectional area of the beam about the centroidal x and y axes.
Prob. F6-17
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F6-18. Determine the moment of inertia of the cross-
sectional area of the beam about the centroidal x and y axes
30 mm
200 пm
I.
30 тm
-300 mm-
30 mm
30 mm
6-90. Determine the moment of inertia of the cross-sectional
area of the beam about the y axis.
20 mm
20 mm
-150 mm 150 mm
20 mm
y
с
Probs. 6-89/90
200 mm
200 mm
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6-89. Determine the moment of inertia of the cross-sectional
area of the beam about the x axis
-150 mm-
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20 d
Chapter 6 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 6.1 - In each case, use the element shown and specify...Ch. 6.1 - Prob. 1FPCh. 6.1 - Determine the centroid (x,y) of the area. Prob....Ch. 6.1 - Determine the centroid y of the area. Prob. F63Ch. 6.1 - Locate the center of gravity x of the straight rod...Ch. 6.1 - Prob. 5FPCh. 6.1 - Locate the centroid z of the homogeneous solid...Ch. 6.1 - Locate the centroid x of the area. Prob. 61Ch. 6.1 - Locate the centroid of the area. Prob. 62Ch. 6.1 - Locate the centroid x of the area. Probs. 63/4
Ch. 6.1 - Locate the centroid y of the area. Probs. 63/4Ch. 6.1 - Locate the centroid x of the area. Probs. 65/6Ch. 6.1 - Locate the centroid y of the area. Probs. 65/6Ch. 6.1 - Prob. 7PCh. 6.1 - Prob. 8PCh. 6.1 - Locate the centroid x of the area. Solve the...Ch. 6.1 - Prob. 10PCh. 6.1 - Prob. 11PCh. 6.1 - Prob. 12PCh. 6.1 - Locate the centroid y of the area. Probs. 612/13Ch. 6.1 - Prob. 14PCh. 6.1 - Prob. 15PCh. 6.1 - Prob. 16PCh. 6.1 - Locate the centroid x of the area. Probs. 617/18Ch. 6.1 - Prob. 18PCh. 6.1 - Prob. 19PCh. 6.1 - Locate the centroid x of the area. Probs. 620/21Ch. 6.1 - Locate the centroid y of the area. Probs. 620/21Ch. 6.1 - Locate the centroid x of the area. Probs. 622/23Ch. 6.1 - Prob. 23PCh. 6.1 - Prob. 24PCh. 6.1 - Prob. 25PCh. 6.1 - Prob. 26PCh. 6.1 - Prob. 27PCh. 6.1 - The steel plate is 0.3 m thick and has a density...Ch. 6.1 - Prob. 29PCh. 6.1 - Prob. 30PCh. 6.1 - Prob. 31PCh. 6.1 - Prob. 32PCh. 6.1 - Prob. 33PCh. 6.1 - Locate the centroid z of the volume. Prob. 634Ch. 6.1 - Prob. 35PCh. 6.2 - Locate the centroid (x,y,z) of the wire bent in...Ch. 6.2 - Locate the centroid y of the beams cross-sectional...Ch. 6.2 - Locate the centroid y of the beams cross-sectional...Ch. 6.2 - Prob. 10FPCh. 6.2 - Prob. 11FPCh. 6.2 - Prob. 12FPCh. 6.2 - Locate the centroid (x,y) of the area. Prob. 636Ch. 6.2 - Locate the centroid y for the beams...Ch. 6.2 - Locate the centroid y of the beam having the...Ch. 6.2 - Locate the centroid (x,y) of the area. Prob. 639Ch. 6.2 - Locate the centroid y of the beams cross-sectional...Ch. 6.2 - Locate the centroid (x,y) of the area. Prob. 641Ch. 6.2 - Locate the centroid (x,y) of the area. Prob. 642Ch. 6.2 - Prob. 43PCh. 6.2 - Locate the centroid y of the cross-sectional area...Ch. 6.2 - Prob. 45PCh. 6.2 - Prob. 46PCh. 6.2 - Prob. 47PCh. 6.2 - Prob. 48PCh. 6.2 - Prob. 49PCh. 6.2 - Prob. 50PCh. 6.2 - Prob. 51PCh. 6.2 - Locate the center of gravity z of the assembly....Ch. 6.2 - Major floor loadings in a shop are caused by the...Ch. 6.2 - The assembly consists of a 20-in. wooden dowel rod...Ch. 6.2 - The composite plate is made from both steel (A)...Ch. 6.4 - Determine the moment of inertia of the area about...Ch. 6.4 - Prob. 14FPCh. 6.4 - Prob. 15FPCh. 6.4 - Determine the moment of inertia of the area about...Ch. 6.4 - Prob. 56PCh. 6.4 - Prob. 57PCh. 6.4 - Prob. 58PCh. 6.4 - Prob. 59PCh. 6.4 - Determine the moment of inertia for the area about...Ch. 6.4 - Determine the moment of inertia for the area about...Ch. 6.4 - Prob. 62PCh. 6.4 - Prob. 63PCh. 6.4 - Prob. 64PCh. 6.4 - Prob. 65PCh. 6.4 - Prob. 66PCh. 6.4 - Prob. 67PCh. 6.4 - Prob. 68PCh. 6.4 - Prob. 69PCh. 6.4 - Prob. 70PCh. 6.4 - Prob. 71PCh. 6.4 - Prob. 72PCh. 6.4 - Prob. 73PCh. 6.4 - Prob. 74PCh. 6.4 - Prob. 75PCh. 6.4 - Prob. 76PCh. 6.4 - Determine the moment of inertia for the area about...Ch. 6.4 - Determine the moment of inertia for the area about...Ch. 6.4 - Prob. 79PCh. 6.5 - Determine the moment of inertia of the...Ch. 6.5 - Determine the moment of inertia of the...Ch. 6.5 - Prob. 19FPCh. 6.5 - Determine the moment of inertia of the...Ch. 6.5 - Determine the moment of inertia of the composite...Ch. 6.5 - Determine the moment of inertia of the composite...Ch. 6.5 - Prob. 82PCh. 6.5 - Determine the location y of the centroid of the...Ch. 6.5 - Determine y, which locates the centroidal axis x...Ch. 6.5 - Prob. 85PCh. 6.5 - Prob. 86PCh. 6.5 - Determine the moment of inertia Ix of the area...Ch. 6.5 - Determine the moment of inertia Ix of the area...Ch. 6.5 - Determine the moment of inertia of the...Ch. 6.5 - Determine y, which locates the centroidal axis x...Ch. 6.5 - Determine the moment of inertia of the...Ch. 6.5 - Determine the moment of inertia of the...Ch. 6 - Locate the centroid x of the area.Ch. 6 - Locate the centroid y of the area.Ch. 6 - Locate the centroid of the rod.Ch. 6 - Prob. 4RPCh. 6 - Determine the moment of inertia for the area about...Ch. 6 - Prob. 6RPCh. 6 - Determine the area moment of inertia of the...
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- 6-90. Determine the moment of inertia of the cross-sectional area of the beam about the y axis -150 mm- - 150 mm - 20 mm 200 mm 20 mm 200 mm 20 darrow_forward*6-60. Determine the moment of inertia for the area about the x axis. 200 mm y 100 mm Probs. 6-60/61 y = 50 Xarrow_forward6-70. Determine the moment of inertia for the area about the x axis. 8 m y = 4 m Probs. 6-70/71 8 Xarrow_forward
- 6-91. Determine the moment of inertia of the cross- sectional area of the beam about the x axis. 25 mm 25 mm 100 mm 25 mm -75 -75 mm- 50 mm! 100 mm 25 mmarrow_forward*6-76. Determine the moment of inertia for the area about the x axis. |y² = 2x₂ y=x -2 m- Probs. 6-76/77 2marrow_forward*6-80. The polar moment of inertia for the area is Jc = 642 (106) mm4, about the z' axis passing through the centroid C. The moment of inertia about the y' axis is 264 (106) mmª, and the moment of inertia about the x axis is 938 (106) mm4. Determine the area A. y' C Prob. 6-80 200 mm x' Xarrow_forward
- 6-82. Determine y, which locates the centroidal axis x' for the cross-sectional area of the T-beam, and then find the moments of inertia I, and I,. 15 mm -75 mm, 20 mm 150 mm 20 mmarrow_forwardR6-5. Determine the moment of inertia for the area about the x axis. y= 2 m 4 marrow_forwardDetermine the moments of inertia for the beam’s cross- sectional area with respect to axes passing through centroid.arrow_forward
- F6-16. Determine the moment of inertia of the area about the y axis. Im -1m-arrow_forwardP6-6 а 0.5' 6-6. Determine the polar moment of inertia of the shaded area of Fig. P6-6 with respect to the axis through the origin. The equation of the curve is y = x³.arrow_forwardR6-6. Determine the area moment of inertia of the area about the y axis. 4y=4 - 1m 2marrow_forward
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