Concept explainers
(a)
Answer to Problem 9.80RP
Explanation of Solution
Given information:
The shaded region:
The principal moments of inertia at point O for the shaded region:
The product of inertia with respect to the x- and y-axes is
Calculations:
Conclusion:
For the shaded region shown,
(b)
Answer to Problem 9.80RP
Explanation of Solution
Given information:
The shaded region:
For the shaded region:
Calculations:
Conclusion:
For the shaded region,
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Chapter 9 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
- Determine Ix for the triangular region shown.arrow_forwardDetermine the moments of inertia about the centroidal x-axes of the trapezoidal area. a=147 mm; b=294 mm; h=441 mm. Answer the question in mm4. Yanıt: b b Yanıt: Answer the question in mm4. h Determine the moments of inertia about the centroidal y-axes of the trapezoidal area. X Warrow_forward2. 100 mm 20 mm 140 mm 20 mm 20 mm 100 mm - Determine the moments of inertia of the Z-section about its centroidal x and y axes. Consider x - axis to be at the extreme bottom of the figure and y - axis at the left most of this figure.arrow_forward
- | Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x y- y2, and the line x+y 0 if 8(x, y) 5x+yarrow_forward2. 20 mm 140 mm -100 mm yo Xo 20 mm 20 mm 100 mm- Determine the moments of inertia of the Z-section about its centroidal x and y axes. Consider x-axis to be at the extreme bottom of the figure and y-axis at the left most of this figure.arrow_forwardThe shaded area has the following properties: 4 = 126 x10 mm* ; 1, = 6,55 x10* mm* ; and Pay =-1.02 10° mm* Determine the moments of inertia of the area about the x' and v' axes if e=30°.arrow_forward
- 1. Determine the moment of inertia of the shaded area with respect to the x and y axis as shown in figure. 3r Xarrow_forwardA rectangular hole is made in a triangular section as shown in Figure. Determine the moment of inertia of the section about X-X axis passing through the centre of rectangular hole and the base BC. 30 mm 30 mm 30 mm B ! 20! C mm 100 mmarrow_forwardFor the section shown, the moments and product of inertia with respect to the x and y axes areIx = 7.20 × 106 mm4Iy = 2.59 × 106 mm4Ixy = − 2.54 × 106 mm4Using Mohr’s circle, determine a. the principal axes of the section about O,b. the values of the principal moments of inertia of the section about O.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L