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List of top Geotechnical Engineering Questions on Shallow foundations asked in GATE CE

A shallow strip footing of width 2 m is embedded at a depth of 1.5 m below the ground surface in a homogeneous pure clay with angle of internal friction equal to zero. The unit weight of soil is 20 kN/m3 and the undrained cohesion of soil is 20 kN/m2. Due to a rise of the ground water table from far below the founding depth to the ground surface during the monsoon season, the magnitude of percentage change in the net ultimate bearing capacity of the footing as per Terzaghi's theory is ______ (rounded off to two decimal places).
  • GATE CE - 2026
  • GATE CE
  • Geotechnical Engineering
  • Shallow foundations

A rectangular footing of size 2.8 m \(\times\) 3.5 m is embedded in a clay layer and a vertical load is placed with an eccentricity of 0.8 m as shown in the figure (not to scale). Take Bearing capacity factors: \( N_c = 5.14 \), \( N_q = 1.0 \), and \( N_\gamma = 0.0 \); Shape factors: \( s_c = 1.16 \), \( s_q = 1.0 \) and \( s_\gamma = 1.0 \); Depth factors: \( d_c = 1.1 \), \( d_q = 1.0 \) and \( d_\gamma = 1.0 \); and Inclination factors: \( i_c = 1.0 \), \( i_q = 1.0 \) and \( i_\gamma = 1.0 \). 

Using Meyerhoff's method, the load (in kN, round off to two decimal places) that can be applied on the footing with a factor of safety of 2.5 is \(\underline{\hspace{1cm}}\).

  • GATE CE - 2021
  • GATE CE
  • Geotechnical Engineering
  • Shallow foundations