- U Question 1 1 Pts We Have 4 Sections About Moments Of Inertia Using The Integral Method Moments Of Inertia Using T 1 (47.73 KiB) Viewed 52 times
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The moments of inertia is relative to: a point O a plane O an axis O a cartesian referential
The area with the largest moment of inertia about the axis X, is: 10cm Зcm 10cm 3cm 10cm 1cm х (A) (B) (C) 7 Icm OB: The vertical bar OC: The horizontal bar A: The I shape bar
A section with an higher Moment of inertia will have a 2 resistance to bending moment. O equal smaller O higher
The moment of inertia of a surface A about the axis x is equal to: dA 0 OT, = S (x + y) DA OT, = 5 zdA ©L, = SudA OI, = SydA
The theorem of parallel axis relates the moment of inertia (Mol) of an area about an axis passing through the area's centroid to the Mol of the area about a corresponding parallel axis. and Icz + di A 7 Iy = Icy + d. A A The smallest Moment of Inertia is always: The moment of inertia about an axis going on an extremity of the body parallel tox The moment of inertia about an axis going on an extremity of the body parallel to y The moment of inertia about an axis going through the centroid The moment of inertia about an axis going on an extremity of the body parallel to z
Again, the parallel-axis theorem for an area is applied between ما OTwo vertical axes only O Any two parallel axis, O An axis passing through its centroid and any corresponding parallel axis. OTwo horizontal axes only
As we did in the chapter centroid, we can find the moment of inertia using the integral method, by using little area of integration We can use vertical stripe or horizontal stripe. It is easier to use (choose 2 answers): An horizontal stripe to find Ix (x spread like an horizontal stripe) An horizontal stripe to find ly A vertical stripe to find lx Avertical stripe to find lyly stand like a vertical stripe)
When using one of the integral: I; = SydA and I, = Sx?dA We need to express y? x2 and dA in term: UA either y only x and y either x only
Match the direction of the stripe with the element of integration: Horizontal stripe Choose Vertical stripe (Choose dx dy