Civil Engineering MCQAE Level Civil Engineering
The parallel axis theorem for second moment of area states that for an area A, the moment of inertia about any axis X-X parallel to the centroidal axis x-x at distance d is:
Engineering MechanicsParallel Axis TheoremMEDIUM
Choose the correct answer
A
I_XX = I_xx - Ad^2
B
I_XX = I_xx + Ad^2
C
I_XX = I_xx / d^2
D
I_XX = I_xx x d
Correct Answer
B. I_XX = I_xx + Ad^2
AI Detailed Explanation & IS Code Reference
Unlock the reasoning, formula path and code-linked notes inside your student dashboard.
Parallel axis (transfer) theorem: I_XX = I_xx + A d^2, where I_xx = second moment about centroidal axis, d = distance between parallel axes, A = area. Always larger than centroidal I. Used to compute I of composite sections by summing I of parts about common axis. Also applies to mass moment of inertia.
ScoreCardAI links this solution with subject, topic and difficulty signals so your scorecard can identify weak areas after a full mock test.
Concept shortcut
IS/IRC reference
Common trap
Practice more Civil Engineering questions
This MCQ belongs to AE Level Premium Test Series. Full tests include timed attempts, rank comparison and subject-wise analysis.