GATE Papers >> Civil >> 2019 >> Question No 164

Question No. 164 Civil | GATE 2019

A timber pile of length 8 m and diameter 0.2 m is driven with a 20 kN drop hammer, falling freely from a height of 1.5 m. The total penetration of the pile in the last 5 blows is 40 mm. Use the Engineering News Record expression. Assume a factor of safety of 6 and empirical factor (allowing reduction in the theoretical set, due to energy losses) of 2.5 cm. The safe load carrying capacity of the pile (in kN, round off to 2 decimal places) is __________


Answer : 151.00 to 152.00


Solution of Question No 164 of GATE 2019 Civil Paper

Using Engineering News Formula

Safe load  carrying capacity $ \left({\mathrm Q}_{\mathrm s}\right)=\frac{\mathrm{Wh}}{\mathrm F\left(\mathrm S+\mathrm C\right)} $

Where W = weight of hammer = 20kN

            h  = Height of fall = 1.5m

S = set value $ =\frac{40}5\mathrm{mm}=8\mathrm{mm}=0.008\mathrm m $

C = 2.5cm = 0.025m

F = factor of safety = minimum of 6 to be taken

$ {\mathrm Q}_{\mathrm{safe}}=\frac{\mathrm{Wh}}{\mathrm F(\mathrm S+\mathrm C)}=\frac{20\times1.5}{6\left(0.008+0.025\right)}=151.51\mathrm{kN} $

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