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  1. displacement: the zero vector ~0 such that ~a + (~a) = ~0 = (~a) + ~a and ~a+~0 = ~a, for any ~a. The other key operation that characterizes vectors is multiplication by a real number 2R.

  2. Distance between two points is the length of the line segment that connects the two given points. Learn to calculate the distance between two points formula and its derivation using the solved examples.

  3. The steps in deriving the elemental stiffness matrices are the same: Step 1 Select element type Step 2 Select displacement function Step 3 Define strain/displacement, stress/strain relation Step 4 Derive element stiffness matrix and equations. Gaussian Quadrature (Numerical Integration)

  4. Question 1: Calculate the perimeter of triangle ABC. Question 2: The distance between the points (1, 2) and (16, p) is 17. Find the possible values of p. Question 3: The distance between the points (−3, −4) and (q, 5) is 15. Find the possible values of q.

  5. Distance formula worksheets allow students to have a better understanding of how to use the distance formula to calculate the distance between two points in coordinate geometry. In addition to finding the distance, it can also be used to find the coordinates of a point.

  6. 2. Isoparametric Formulation of the Bar Element. When a particular coordinate s is substituted into [N] yields the displacement of a point on the bar in terms of the nodal degrees of freedom u1 and u2. Since u and x are defined by the same shape functions at the same nodes, the element is called isoparametric.

  7. 2 (1,-1) Use the shape functions for interpolating displacement and geometry. For a given value of (s,t) in the parent element, the corresponding point (x,y) in the actual element and displacement at that point can be obtained using the mapping relationship. Displacement interpolation. u(s,t) [N. N N.