GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 54 of 65

Marks: +1, -0

The dimensionless of a symmetrical welded I-section are shown in the figure.
(All dimension are in

{mm}

)

The plastic section modulus about the weaker axis (in

{cm}^{3}

, up to one decimal place) is

Solution:

Z_{p}=\;{A}/{2}(\ov{x}_{1}+\ov{x}_{2})

\;\; =[\;{140 × 9}/{2}(35+35)] × 2+[\;{(200-18) × 6.1}/{2}]

×(\;{3.05}/{2}+\;{3.05}/{2})

\;\; =88200+1693.055

\;\; =89893.055 {mm}^{3}

∼eq \;\; {m}^{3}

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