GATE Civil Engineering (CE) 2018 Shift 2 Solved Paper

Question : 36 of 65

Marks: +1, -0

8 {m}

long simply supported elastic beam of rectangular cross-section

(100 {mm} × 200 {mm})

is subjected to a uniformly distributed load of

10 {kN} {/} {m}

over its entire span. The maximum principal stress (in MPa, up to two decimal places) at a point located at the extreme compression of a cross-section and at

2 {m}

from the support is

Your Answer:

Validate

Solution:

M_{A}=(-10 × 2 × 1)+40 × 2=60 {kNm}

σ_{A}=\;{M}/{I} × y=\;{M}/{Z}=\;{60 × 10^{6}( {Nmm})}/{(100 × \;{200^{2}}/{2})}

=90 {N} {/} {mm}^{2}

τ=0 {N} {/} {mm}^{2} \{

point is at top

\}

So principal stress

=90 {N} {/} {mm}^{2}=90 {MPa}

Go to Question:

Prev Question

Next Question