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GATE Exam Questions

Q1:

It is proposed to widen and strengthen an existing 2-lane NH section as a divided highway. The existing traffic in one direction is 2500 commercial vehicles (CV) per day. The construction will take 1 year. The design CBR of soil subgrade is found to be 5 percent, Given: traffic growth rate for CV = 8 percent, vehicle damage factor = 3.5 (standard axles per CV), design life = 10 years and traffic distribution factor = 0.75. The cumulative standard axles (msa) computed are

A 35

B 37

C 65

D 70

ANS:B - 37

CSA=(365*(((1+r)^n)-1)*A*D*F)/r.

r=8%.
n=10 years.
A=2500*1.08=2700.
D=lane distribution factor.
F=vehicular damage factor.
CSA=(365*(((1+.08)^10)-1)*2700*0.75*3.5)/0.08 = 37.47msa.

So, that option B is correct.



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