a string of length L is stretched between points (0, 0) and (L, 0) on the x axis. Attime t = 0 it has a shape given by f(x), 0 0at2The ends of the string are fixed at x = 0 and x L,y(0, t) = y(L, t) = 0t 2 0I|The initial velocity of the string is zero,ý(x,0) = 00 *>07> >y(x,0) = f(x) =(L- x)

The displacement equation is given as: ∂2y∂t2=C2∂2y∂x2The appropriate solution is given by:yx,t=A…

Answered: time t 0 it has a shape given by f(x),…

Engineering

Civil Engineering

time t 0 it has a shape given by f(x), 0 0 ax2

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

DIPO Determine the slope at point B of the beam in the figure below. Assume the material's modulus of elasticity is 180 GPa, the beam's moment of inertia 360x10 mm4. 00 20 kN D 3 m 3 m 6 m A - I E=180 II !!
**DFQ** If you know statics, it helps in understanding. A uniform beam (Constant EI) with Length = L has both ends fixed. Applied loading is a uniformly varying load, zero at the left end, W at the right end. Units of the load are pounds per foot. Your results will be stated in terms of W, L, EI.You will use Laplace Transforms to solve for the beam deflection expression. Other quantities to be determined from the deflections will use derivatives. Your results will be stated in terms of W, L, EI. (Triangular shaped distributed load) A uniform beam (Constant EI) with Length = L has both ends fixed. Applied loading is a uniformly varying load, zero at the left end, W at the right end. Units of the load are pounds per foot. A) Find the expression for deflection at any point, with x measured from the left end.
Figure A.2 is a beam cross section that is unsymmetrical with respect to a horizontal axis (such as X–X in the figure). The area is symmetrical about its vertical centroidal axis, but the true location of the centroid requires locating the horizontal centroidal axis. Find the location of the centroid.
Shown below are 4 different rigid bodies, supported in different ways. For each of the rigid bodies, with proper free body diagrams, please determine all the support reactions. Value of the applied forces is F = 100 N, P = 200 N and L = 3 m. a. In figure a, support is a pin at A and a roller at D. Pin at A resists translation in the horizontal and vertical direction, and roller at D only resists translation in the vertical direction. b. In figure b, support at A is a pin it similar to part a of the problem), and support at D is a roller on an incline: note that here, the roller support reaction will be normal to the incline. c. In figure c, support at A is a roller, and support at D prevents translation in the horizontal direction, and also prevents rotation. So, there will be two support reactions at D. Think of what they may be? d. In figure d, support at A is a cantilevered end. B 30° (a) (b) |F | F |P (c) (d) /3
Hello How do I calculate the vertical displacement of C, using the virtual work principle The reaktions are shown and the beams Axial stiffness (EA) bending stiffness (EI)
Problem 02.094 - Expression for force in an elastic cord using the position vector The structure consists of a quarter-circular rod AB with radius 150 mm that is fixed in the xy plane. CD is a straight rod where D may be positioned at different locations on the circular rod. GE is an elastic cord whose support at Glies in the yz plane, and the bead at E may have different positions d. For the values of b=4, h=3, d=260 mm, and z=240 mm provided, determine the coordinates of E and if the elastic cord supports a tensile force of 100 N, write a vector expression using Cartesian vector representation for the force FBG the cord exerts on bead E. (Include a minus sign if necessary) 360 mm B 150 mm A The coordinates of point E are EG The Cartesian representation of the force FBG is FBC = ( four decimal places.) and mm. (Round the final answer to the nearest whole number.) ) N. (Round the final answers to
A rectangular tetrahedron has six sides of length 9 cm. If a force of 600 N is applied along edge BC as As shown, determine the moment of the 600-N force about edge OA. A B 600 N
Please solve it correctly with free body diagram.
Consider a straight beam of uniform section and total length L as shown in Figure 1. The beam has an intermediate support and is subjected to a uniform load w. You are asked to develop expressions for: a) The reactions at the supports b) The bending moment in any section of the beam c) The slope and deflection of the elastic W A C a B∞∞∞ Figure 1 b
please draw free body diagram and explain why By and Ay has the same value.