Explain Bisection method with suitable example.
[3 marks]Explain Newton’s Raphson method with suitable example.
[4 marks]Solve the following system by Gauss Jacobi method. 20x+y-2z = 17, 3x+20y-z = -18 and 2x-3y+20z = 25
[7 marks]Explain False Position method with suitable example.
[3 marks]Find a root of the equation x3 – 4x = 9 using the Bisection method in four stages.
[4 marks]Use second order Runge-Kutta method of solve initial value problem y’= -y, where y(0)=1 for x1 = 0.2 and x2 = 0.4
[7 marks]Use fourth order Runge-Kutta method to find y(1.1) with h=0.05, given that dydx = x-y, y(1)=1.
[7 marks]Briefly explain continuum modeling.
[ marks]Explain application of FEM method for geotechnical engineering.
[4 marks]Explain basic concept of discrete modelling.
[7 marks]Give difference between discrete modeling versus continuum modeling.
[3 marks]Explain Modified Mohr Coulomb failure theory for shear strength? Sketch typical strength envelop for different type of soil.
[4 marks]Explain in detail One- dimensional plasticity theory for understanding the behavior of soil.
[7 marks]Explain concept of consolidation.
[3 marks]Briefly explain Drucker-Prager theory.
[4 marks]Explain Mohr-Coulomb theory.
[7 marks]List the assumption made in the theory of 1-Dconsolidation.
[3 marks]Explain compression index (C c ) and Swelling index (C s )
[4 marks]Explain Tri-axial test with neat sketch. Also enlist its limitation.
[7 marks]Explain the importance of initial boundary value problem.
[3 marks]Differentiate between elastic model and plastic model.
[4 marks]Explain theory of Lade-Duncan criterion for earth pressure coefficient.1
[7 marks]Define following terms: 1. Immediate Settlement 2. Primary Consolidation 3. Secondary Consolidation
[3 marks]Spring analogy to explain consolidation theory.
[4 marks]What is classical plasticity? Explain general framework of classical plasticity.
[7 marks]