n=7 Question 1 4 pts The deflection y() along a beam is given by ny+ sin(ay-1)...
n=5 Question 1 4 pts The deflection y() along a beam is given by ny+ sin(ay-1) - 2+ (n + 2) 1. Write down an expression for the derivative y(D) and evaluate it at the point (1,1) 2. Write down an expression for the second darivative y" ( )and evaluate it at the point (1,1) 3. It is known that if the curvature of the beam exceeds 0.15 in magnitude, the beam will rupture. Find the value of the curvature...
n=7 Question 2 6 pts The equation for the deflection along a particular uniform beam under a given load is given by Cos(3) HIT - 2nT) 04nt with (0) = 0, 1"(0) = 0, y (107) = 1), y(Ant) = 0 1. Integrate once and write down your expression for and then apply the boundary condition Y"(0) - O. Write down your value for the integration constant. 2. Integrate again and write down your expression for and then apply the...
n=5 Question 2 6 pts The equation for the deflection along a particular uniform beam under a given load is given by Cos(3) HIT - 2nT) 04nt with (0) = 0, 1"(0) = 0, y (107) = 1), y(Ant) = 0 1. Integrate once and write down your expression for and then apply the boundary condition Y"(0) - O. Write down your value for the integration constant. 2. Integrate again and write down your expression for and then apply the...
n=9 The equation for the deflection along a particular uniform beam under a given load is given by da y cos(x) H(x – 2n7) = with 0 < x < 4nt dr4 y'" (0) = 0, y" (0) = 0, y (4n7) = 0, y(4nn) = 0 dy 1. Integrate once and write down your expression for and then apply the boundary d.p3 condition y" (0) = 0. Write down your value for the integration constant. day 2. Integrate again...
need help for this question in full answer 2. The deflection along a uniform beam with fexual Yigidity BI- and applied load f (x) = cos (-) satisfies the equation (a) Evaluate the deflection y (x). Hint: /cos(az)dz-asin (as)+C, /sin(as)dz=-a cos(az) +C (b) Find the influence function (Green's function) G (z,f), where 0 < ξ < 2, for this problem. Hint: Since 0 < ξ < 2, H(0-E)=0, H(2-E)=1. (c) Hence write the deflection of this beam as a definite...
The deflection along a discontinuous cantilever beam of length 4 units is governed y (0)-y' (0) 0 d2y dx2J 4) (4) (a) Show that 1+2H (-2)2) if o < <4 (b) Ealute dr dl e) Evaluate the deflection y(r). the deflection y (r Hint: If F (x) is an antiderivative of f (x) then f (x) H (r-a) dr = F (x)-F (a)] H (z-a) + C. The deflection along a discontinuous cantilever beam of length 4 units is governed...
1. The deflection along a discontinuous cantilever beam of length 4 units is governed by a boundary value problem y (0)y(0)0 dr2 y' (4)-r (4) = 0 (a) Show that =1- H(x-2) if 0<x<4 1+2 H (x - 2) dễ (b) Evaluate Hint: )Ha))H-a) (c) Evaluate the deflection y (x) HintIf F () is an antiderivative of f (x) then f (x) H(x - a) dr-F(x) F(a) H(x -a)+C. 1. The deflection along a discontinuous cantilever beam of length 4...
A beam may have zero shear stress at a section but may not have zero deflection; Hence, bending is primarily caused by bending moment In Torsion loading a stress element in a circular rod is subject to shear state The principal plane and the plane on which the shear stresses are maximum, they make 90 degree angle between them. If the Torque on a steel circular shaft (G=80 GPa) is 13.3 kN-m and the allowable shear stress is 98 MPa,...
A system is given by y(n + 1)-ay(n) + bc(n), where a and b are unknown. When y(0) 1,c(n) 0 for n <0 and c(n) - 1 for n 2 0, it is known that y(1) 0.5, y(2) 1.25, y(3) 1.625, y(4) 1.8125, and y(5) 1.90625. Use direct adaptive control to generate c (3), c(4), and c(5) for tracking the reference r(n)-1. Express your answer by giving the equation for the control values c(3),c(4), and c(5) A system is given...
Help Entering Answers (1 point) Write down the given line integral in terms of t Ay ds = / Σ dt. C:x = -3t2, y=t, te [0, 2] where a = WW b= Evaluate the integral above: M