The two shapes shown in the figure below, Shape A and Shape B, each have an area of 2426 mm?, and have uniform density. Answer the following questions (Part (c) and Part (d)): Shape A Shape B y b 2b a a 26 2b a a a a a c) Compare the moment of inertia (MOI) about the x-axis, Ix, for the two shapes she above. Indicate which one of t following statements is true: O Relative I, of Shapes A and B cannot be determined with available information O The MOI of Shape A is larger than Shape B, i.e. Ix,A > Ix,B O The MOI of Shape A is smaller than Shape B, i.e. Ix.A < Ix.B O The MOI of Shape A is the same as Shape B, i.e. Ix,A = Ix,B
The two shapes shown in the figure below, Shape A and Shape B, each have an area of 2426 mm?, and have uniform density. Answer the following questions (Part (c) and Part (d)): Shape A Shape B y b 2b a a 26 2b a a a a a c) Compare the moment of inertia (MOI) about the x-axis, Ix, for the two shapes she above. Indicate which one of t following statements is true: O Relative I, of Shapes A and B cannot be determined with available information O The MOI of Shape A is larger than Shape B, i.e. Ix,A > Ix,B O The MOI of Shape A is smaller than Shape B, i.e. Ix.A < Ix.B O The MOI of Shape A is the same as Shape B, i.e. Ix,A = Ix,B
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
c)
Compare the moment of inertia (MOI) about the ?−x−axis, ??Ix, for the two shapes shown above. Indicate which one of the following statements is true:
- Relative ??Ix of Shapes A and B cannot be determined with available information
- The MOI of Shape A is larger than Shape B, i.e. ??,?>??,?Ix,A>Ix,B
- The MOI of Shape A is smaller than Shape B, i.e. ??,?<??,?Ix,A<Ix,B
- The MOI of Shape A is the same as Shape B, i.e. ??,?=??,?Ix,A=Ix,B
d)
Compare the moment of inertia (MOI) about the ?−y−axis, ??Iy, for the two shapes shown above. Indicate which one of the following statements is true:
- Relative ??Iy of Shapes A and B cannot be determined with available information
- The MOI of Shape A is the same as Shape B, i.e. ??,?=??,?Iy,A=Iy,B
- The MOI of Shape A is larger than Shape B, i.e. ??,?>??,?Iy,A>Iy,B
- The MOI of Shape A is smaller than Shape B, i.e. ??,?<??,?
Transcribed Image Text:The two shapes shown in the figure below, Shape A and Shape B, each have an area of 2426 mm?, and have uniform density. Answer the following
questions (Part (c) and Part (d)):
Shape A
Shape B
y
b
2b
a
a
26
2b
a
a
a
a
a
c)
Compare the moment of inertia (MOI) about the x-axis, Ix, for the two shapes she
above. Indicate which one of t
following statements is
true:
O Relative I, of Shapes A and B cannot be determined with available information
O The MOI of Shape A is larger than Shape B, i.e. Ix,A > Ix,B
O The MOI of Shape A is smaller than Shape B, i.e. Ix.A < Ix.B
O The MOI of Shape A is the same as Shape B, i.e. Ix,A = Ix,B
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