Problem Statement: The value of 01∫𝒆𝒙𝒅𝒙 using the trapezoidal rule with four equal subintervals is____ Solution: (B) Also Check: Solution of GATE 2021, CE, Set1 (Q.1 to Q.100) The equal interval, dx = (b-a)/n = (1 – 0)/4 = 0.25 Area using the Trapezoidal Rule, A = dx/2 *[f(x0) + 2f(x1) + 2f(x2) + … + 2f(xn-1) + […]
Solved – Civil GATE 2021, Set1, Q.27 – The Value of ∫𝒆x𝒅𝒙 using the Trapezoidal Rule Read More »
Problem Statement: A signalized intersection operates in two phases. The lost time is 3 seconds per phase. The maximum ratios of approach flow to saturation flow for the twophases are 0.37 and 0.40. The optimum cycle length using the Webster’smethod (in seconds, round off to one decimal place) is ______ Solution: (ans: 60.9 seconds) As per Webster’s
Q.23 Civil GATE 2021, Set1 The cohesion (c), angle of internal friction (φ) and unit weight (γ) of a soil are 15 kPa, 20° and 17.5 kN/m3, respectively. The maximum depth of unsupported excavation in the soil (in m, round off to two decimal places) is—- Solution: The active earth pressure in c-φ soil is given
Q.22 (GATE 2021, CE, Set1) A truss EFGH is shown in the figure, in which all the members have the same axial rigidity R. In the figure, P is the magnitude of external horizontal forces acting at joints F and G. If R = 500×103 kN, P = 150 kN and L = 3 m, the magnitude of the horizontal displacement of joint G (in
GATE 2021 CE, Set 1, Solution of Q.22. A truss EFGH is shown in the figure Read More »
Problem Statement: Determine the Stiffness Matrix K for the truss. Take A = 0.0015 m2 and E = 200 GPa for each member. Reference: Problem 14-5, Chapter – 14 Truss Analysis using the Stiffness Method, Book – Structural Analysis by R C Hibbeler. Solution: Known Loads, along initial 6 dofs, Qk =[[ 0.][-40.][ 0.][ 0.][
Hi, It is very well known that Stiffness Matrix method of truss analysis is quite cumbersome when it is used manually, but it is very fast and easy when used with computers. Hence, I created this program coded in Python language to solve the Truss Analysis problems. It uses Tkinter for GUI and Numpy library
Problem Statement: Determine the vertical deflection at joint 2 and the force in member 4 of the truss in prob. 14-3. Take A = 0.0015 m2 and E = 200 GPa for each member. Solution: The Structural Stiffness matrix was derived in the solution of problem 14-3, please click here to see. Structure Stiffness matrix,
Problem 14-4, Structural Analysis by R C Hibbeler (9th edition) Book Solution Manual Read More »
Problem Statement: Determine the Stiffness Matrix K for the truss. Take A = 0.0015 m2 and E = 200 GPa for each member. Solution: Known Loads, Qk =[[ 0.0] [-15.0][ 0.0][ 0.0][ 0.0]]Unknown Deflections, Du =[‘D1’, ‘D2’, ‘D3’, ‘D4’, ‘D5’] Check the complete Book Solution Manual for Structural Analysis by R C Hibbeler (Eighth Edition) Nodal dofs:
Problem Statement: Determine the Vertical Deflection of joint 1 and the force in member 2 of the truss in problem 14-1. Reference: Problem 14-2, chapter – 14, Truss Analysis using the Stiffness Method, Structural Analysis by R C Hibbeler. Solution: Structure Stiffness matrix (as derived in solution of problem 14.1) Check the complete Book Solution Manual
Book Solution Manual, Problem 14-2, Structural Analysis by R C Hibbeler. Read More »
Problem Statement: Assuming all joints are pin-connected, determine the stiffness matrix K for the truss. Take A = 500 mm2, E = 200 GPa. Reference: Problem 14-1, Structural Analysis by R C Hibbeler. Solution: number of members = 3number of nodes = 4 Check the complete Book Solution Manual for Structural Analysis by R C
Book Solution Manual, Problem 14-1, Structural Analysis by R C Hibbeler. Read More »
