dx 5. §; 3+ Vx +2

Q: 7. (D* + 16D² + 36D + 19)y = 0

A:

Q: Determine the slope at point B of the beam shown using Castigliano's Theorem. (You can verify using…

A: SoLet us take M=50KN-mFrom Castigliamos theorem we knowθB=1EI∫0LMx∂Mx∂MdxTake B as origin Limits 0…

Q: x + y - z = 9 8y + 6z = -6 -2x + 4y – 6z = 40

A:

Q: Determine the slope at C (in radians). Use negative sign if the slope is counter clockwise. Include…

A:

Q: solve using interpolation

A: Yes, Sample calculation is shown below.

Q: Solve the value of x using completing the square and quadratic Formula: 2x2 + 6x + 2 = 0

A: To solve the given quadratic equation using: method of completing the square the quadratic formula…

Q: Locate the centroid y̅ of the shaded area. Solve the problem by evaluating the integrals using…

A: The given figure is shown below:

Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 6]. r sin 0 = In r + In cos 0…

A:

Q: 2.by the analytical method and Mohr’s circle

A:

Q: by the analytical method and Mohr’s circle Find σx' ,σy' and τx'y'

A: σx=50MPaσy=50MPa

Q: am shown, use double integration method to slope at "B" ite steps) 201 EI = Constant EI dy = ±EI

A:

Q: solve for member CE. consider an equilateral triangle

A:

Q: c) The equation of If a straight line gradient and the

A:

Q: by the analytical method and Mohr’s circle

A:

Q: Q5) Evaluate the integral S (x + 2y) dA, over the triangular region bounded by the lines y = x, y =…

A: The triangular region is bounded by the lines, y=x and y=1-x and the y-axis. Graph the line y=x…

Q: ind the derivative of y with respect to x in th u а) у— u = 3x- 2 and u +1

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Use Gauss-Seidel iteration to solve: (Do only ten iterations) 2х + у + 4z %3 6 5х + 2у — 2z %3D16 х…

A:

Q: A quadratic equation x?-4x+4=O is defined with an initial guess of 2 and 2.5. Find the approximated…

A: fx = x2 - 4x + 4x0 = 2 and x1 = 2.5

Q: 1. (x+ + 2y)dx – xdy = 0 %3D

A: Given:- a differential equation as shown

Q: Px (3L – x) PL 3EI PL? 2EI 6EI

A: NOTE - : We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 2. 3.0 -0.5 0.6 1.5 4.5 6.0 4. 4 4 5 -3 1 2 -9 2 -1 5 1.

A:

Q: Manning’s equation

A: The Manning's formula is an empirical formula to estimate the average velocity of a fluid flowing in…

Q: 0.3 0.6 0.9 1.2 1.5 1.8 °f(x)c f(x) 0.5 0.6 0.8 1.3 2 3.2 4.8

A:

Q: by the analytical method and Mohr’s circle Find σx' ,σy' and τx'y'

A: Normal stress is given so we can find unknown by analytical method

Q: Find the solution, using variation of parameters, to the differential equation (D³ + D)y= sec²x.

A: Given: D3+Dy=sec2x

Q: 10. (D* + 2D3 + 10D²)y = 0

A: We have Answerd Given Equation by using genral equation.

Q: Use Simpson's 1/3 Rule to approximate the given integral with the specified value of 4 dx n = 10…

A:

Q: A Bisection method is applied to find the root between point A to B. Given a function x* -x = 10-.…

A:

Q: Given the function, S(x) = 25x - 9x² + 9x + 52 Estimate the value of the integral bounded from a-0…

A: Let the step size, h = 0.1 Hence the steps are at, 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, and 0.8 The…

Q: PLEASE SOLVE THE PROBLEM USING THE CASTIGLIANO'S THEOREM METHOD.

A:

Q: QZ/ Use Gauss-Jordan elimination method to solve: 1 32 2 277: -1 2 52: 7 ...

A:

Q: Locate the first nontrivial root of sin x x² where x is in radians. Use Regula-Falsi with the…

A: This plot indicate that a non trivial root is located at about 0.9

Q: . Determine one real root of 8 (sin a) e -1= 0 with ro = three iterations of Newton-Raphson Method.

A:

Q: Use Castigliano's Theorem to determine the slope at joint B in radian. I = 2340x10®mmª and the E =…

A: Given data                  I = 2340x106mm4                  E=200 GPa = 200×109 N/m2

Q: Relation of Area with total head in bernoulli's equation.

A:

Q: Determine the slope and displacement at point B by the method of virtual works in Q. I. El is…

A: Apply unit force at B in downward direction:

Q: Please solve

A:

Q: Question 46 cosx dx, which of the following trigonometric identities will be used? In solving for…

A: Given integration of cos3(x) Identity function sin2x+cos2x =1

Q: Locate the centroid x̄ of the shaded area. Solve the problem by evaluating the integrals using…

A:

Q: Determine the slope and displacement at point A using Double Integration Method. Assume C is pinned.

A:

Q: From the given data, identify f(4) using Lagrange and Newton's polynomial. (2,10), (3,15), (5,25),…

A:

Q: Please

A:

Q: Determine the displacement of point C and the slope at point B. EI is constant. Use the principle of…

A: For calculating the slope and deflection of the beam using the static equilibrium equation is not…

Design of structures using FEA

An arrangement, in which various members are interconnected with their constrained relative motion, the whole arrangement is then known as a structure. The degree of freedom of such a structure is zero. In such a structure, the load can act throughout the length of the structure or at the joints.