Civil Engineering MCQAE Level Civil Engineering
A portal frame has two fixed-base columns with heights h₁ and h₂ and equal cross-sections (same EI). The horizontal shear carried by each column is proportional to:
Structural AnalysisShear Distribution Unequal ColumnsMEDIUM
Choose the correct answer
A
h₁ and h₂
B
1/h₁ and 1/h₂
C
1/h₁³ and 1/h₂³
D
h₁³ and h₂³
Correct Answer
C. 1/h₁³ and 1/h₂³
AI Detailed Explanation & IS Code Reference
Unlock the reasoning, formula path and code-linked notes inside your student dashboard.
Lateral stiffness of a fixed-base column = 12EI/h³. Shear distribution is proportional to stiffness, i.e., to 1/h³. The shorter column is stiffer and attracts more shear.
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.