Recent content by Zouatine

  1. Zouatine

    Finding Characteristic Depth of Strip Foundation

    hello everyone! i have some problem in solution of this problem should i transfert the vertical stree to the horizontal stress and solve it ? problem : The equivalent static stiffness of the soil as an infinite elastic half-space under an infinite strip foundation is given in the vertical...
  2. Zouatine

    The meaning of eignvalues in vibration

    when i solved simple example about 2 height stories when we have 2 degree of freedom I’m confusing about the meaning of result of eigenvectors and eigenvalues . This is the example i'm getting 4 eigenvalues and 4 eigen vectors . as following I didn’t understand we have 2 MDOF and we are...
  3. Zouatine

    What units for the wave function of a string?

    hello , hope all of you are doing well , i have question about the unit of the function of waves of string fixed in both boundary , the function of waves is function of two variables x and t , so it's function describe the displacement in function of place and time , Ψ(x,t)=φ(x)*sin(ωt+α)...
  4. Zouatine

    Question about potential for this mechanical force problem

    hello , thank you for your comment , sorry i made a mistake , i want to say external work , External Work= Work has done by the External Forces , Thanks and sorry again ,
  5. Zouatine

    Question about potential for this mechanical force problem

    hi thank you for your comment! ,no it's not , solution of the exercise i already know it , i said i have to use Energy method , which mean the first step to solve it : Total Energy = Internal Energy + External Energy , Internal Energy is the energy in the Spring , and for External Energy is...
  6. Zouatine

    Question about potential for this mechanical force problem

    Hi! hope you are doing well , I'm trying to solve this problem ( mechanical problem) about structure with load F as it showing in the next figure , i want to determine to critical force F , the stability force ( which means if my load is bigger than the critical load my system will be unstable)...
  7. Zouatine

    What Are the Normal and Shear Stresses on the Inclined Butt Weld?

    Hi! i have this exercise and solution : Exercise: steel plate given in figure (a) is joined by an inclined butt weld ,the plate is subjected to tensile stresses in both x and y directions, σ(x)=54 N/mm^2 and σ(y)=38 N/mm^2 , 1) Determine the normal and shear stresses of the butt weld...
  8. Zouatine

    Minimizing the area of a channel in contact with water

    My problem: In the solution,our teacher found, that the wet section is minimal if y=L/2 So Am: = L^2 /2; Pm: = 2L; So despite that I try with any value, I can not find a more minimal section, and that's not the case because if I try with y = L / 3 I find Am: L^2/3; Pm: (5/3)*L ; and these...
  9. Zouatine

    Question in thermodynamics -- Two paths on a P-V diagram....

    Hi every one , I have this question today : The two arrows in the figure show two thermodynamic processes of a certain amount of ideal gas. The dashed line is a hyperbola. Which of the following statements is not true? a. The heat transfer is the same in the two processes. b. The temperature...
  10. Zouatine

    Solving AB Beam Reactions with Hyperstatic System

    hello everyone 1. Homework Statement Problem: An AB beam, loaded with a distributed load q (KN/m), the length of the beam is 2 m. EI=constant find the reactions in the beam ,we use y''=-(1/EI) *M(x) Homework Equations y''=-(1/EI) *M(x)[/B] The Attempt at a Solution first we have 6 reactions...
  11. Zouatine

    Solve Castigiliano Method for Continuous Beam Problem

    Sorry. My english is not good my question was how you found this : d(M^2)/df =2M* dM/df
  12. Zouatine

    Solve Castigiliano Method for Continuous Beam Problem

    thanx, so to find dM/df , I choose Ra so, 1- dM/dRa =-x 2- dM/dRa =-x and after that du/dRa=(1/EI)*∫(-x*Ra)*(-x) dx+(1/EI)*∫(-x*Ra+Rb*(x-L)-(qL/2)*(x-L)^2)*(-x) dx =0 with (0<x<L) and in second (L<x<2L). and I find Ra in this equation, just one more question about this...
  13. Zouatine

    Solve Castigiliano Method for Continuous Beam Problem

    First thanks for your answer Sir , I made a mistake ∑F=0→ -Ra+Rb+Rc=ql - the positive sense for the moment is the clockwise. yes I know to get energy I have to integrate (M^2/(2EI)).dx , but it's complicated to integrate from 0 to L M^2/(2EI);dx with (M(x)=-Ra*x and from L to 2L M^2/(2EI) with...
  14. Zouatine

    Solve Castigiliano Method for Continuous Beam Problem

    Homework Statement Problem: a continuous beam ABC simply presses, loaded with a distributed load q, the length of the beam is 2L. EI=constant find the reactions in the beam ,we use Castigiliano method. Homework Equations - U=(1/2EI)∫M^2 dx (U: Energy) - dU/dP=d (d: displacement) The...
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