Bearing Capacity of Footing

Problem 1. Using Terzaghi equation, find the bearing capacity of a footing. Necessary data was given. Footing size 2m х 2m and having a depth of foundation is 1m, if take for C-φ soil, C= 18kN/m², ૪=18kN/m³, φ= 0.35⁰, N_c = 57.7, N_q=14.4, N_૪= 42.4?
Exam Name:DESCO 2015

Solution: 
We know that, Ultimate bearing capacity for square footing,
 Q_ult = 1.3 C'N_c +qN_q + 0.4૪BN_૪
        = (1.3*18*57.7) + (18*1*14.4) + (0.4*18*2*42.4)
        = 2219.97 N/m²

Answer:  2219.97 N/m²

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Problem 2. Determine the ultimate bearing capacity of a strip footing 1.2 m wide and having a depth of foundation 1.5m, take C-φ solil, C= 30kN/m², ૪=20kN/m³, φ= 0, N_c = 5.14, N_q=1.0, N_૪= 2.4?
Exam Name: DESCO 2015

Solution:
We know that, Ultimate bearing capacity for strip footing,
 Q_ult = C'N_c +qN_q +( 1/2)૪BN_૪
        = (30*5.14) + (20*1.5*1) + (1/2*20*1.2*2.4)
        =  213 kN/m²

Answer: 213 kN/m²

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