The minimum area required for the isolated footing to carry a factored load of 1000 kN constructed over the soil of safe bearing capacity 150 kN/m2 is

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RRB JE CE 29 Aug 2019 (Shift 2) CBT 2 Official Paper
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  1. 4.4 m2
  2. 6.7 m2
  3. 4.9 m2
  4. 7.3 m2

Answer (Detailed Solution Below)

Option 3 : 4.9 m2
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Concept:

 Design Load = 1.1 x Unfactored load.

Area required for footing = \(\frac{{{\rm{Design\;axial\;load\;on\;footing\;including\;self\;weight\;of\;footing}}}}{{{\rm{Safe\;bearing\;capacity\;of\;soil\;}}}}\)

Calculation:

Area required for footing = \(\frac{{{\rm{Design\;axial\;load\;on\;footing\;including\;self\;weight\;of\;footing}}}}{{{\rm{Safe\;bearing\;capacity\;of\;soil\;}}}}\)

UnFactored load, P = 1000/1.5 = 666.67 kN

 For safe , self-weight is considered as 10 % of load

 Adding 10 % of load as self weight = 0.1 ×666.66= 66.66kN

Design load = 666.66 + 66.66 = 733.32 kN

Safe bearing capacity of Soil, q = 150 kN/m2

Area required = \(\frac{{733.32}}{{150}}\) = 4.88 ≈ 4.9 m2
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