0 B UA BA Elastic curve L dv M = EI dx² The deflection equation of...
Elastic curve d²v M = EI dr? The deflection equation of the above cantilever beam is et (L? - 2) ein (-2+ + 3 Lºz – 21) o
The deflection equation of the above cantilever beam is
a)P2EI(L2−x2)
b)
υ P A B х VA Elastic curve х L d²v M = EI dx?
Part A Consider the beam shown in (Figure 1). EI is constant Determine the equation of the elastic curve tor the beam using the z1 coordinate tor 0 L/2 Express your answer in terms of the variables P, E, I, L, and 01F Figure 1 of 1 Submit Part B Determine the equation of the elastic curve tor the beam using the 2 coordinate for L/2L Express your answer in terms of the variables P, E, I, L, and z...
Using equation 3 please find the deflection value with the
variables given. Be careful with units please.
P= 10.07 Newtons
L= 953.35 mm
x= 868.363 mm
E= 72.4 GPa
Iy= 5926.62 mm^4
The maximum deflection, WMAX of the cantilever beam occurs at the free end. The magnitude of the deflection may be derived by solving the differential equation: d'w M,(x) P (L-x) eq. 1 dr EI EI where E and Iy are the modulus of elasticity and moment of inertia...
Question (50 pts Determine the elastic curve equation of the elastic curve for the beam using the x1 and x2 coordinates specify the slope at A and the maximum deflection. Use TWO METHODS. EI is constant. R12-4
Problem statement Beam Deflection: Given the elastic deflection equation for a beam with the boundary and loading conditions shown below, determine the maximum downward deflection (i.e. where dy/dx = 0) of a beam under the linearly increasing load wo = 10 kN/m. Use the following parameter values: L = 10m, E = 5x108 kN/m², 1 = 3x10-4 m4. Use the initial bracket guesses of XL = 0 m and xu = 10 m. Wo. wol(x5 + 2L?x3 – L^x), (1)...
the EI F8-8. Determine the equation of the elastic curve for the beam using the x coordinate that is valid for 0 <x < L. EI is constant F8-8
Question 2 For the beam and loading shown, use Macaulay notation to determine t0) (a) the equation of the elastic curve, (b) the deflection at point B, (c) the deflection at point C. BI IIC Use, L=2.5 m E = 200 GPa l 3.6 x 10-5 m
Question 2 For the beam and loading shown, use Macaulay notation to determine t0) (a) the equation of the elastic curve, (b) the deflection at point B, (c) the deflection at point C....
ܛܠܠܠܠܠܝ Min. L- Fig. 9-28 Fig. 9-29 9.33. Determine the equation of the deflection curve for the cantilever beam loaded by the concentrated force P as shown in Fig. 9-28. Ans. 'Ely = -xa – x)3 – Pa? - + Pas for 0 <zza; ely = - Pa? x + Pas för a < x <L 9.34. For the cantilever beam of Fig. 9-28, take P = 1000 lb, a = 6 ft, and b = 4 ft. The beam...
The moment curvature equation is shown for the beam in the figure. What equation best describes the slope of the member at any point along its length? B А Mo L dạy ΕΙ dx² = M(x)=-M Mo A) dv dx (-2x+L) 2EI dv M. -(-x? +L) B) dx EI dv M. -(-x+ L) C ) dx ΕΙ D) dy dx M. (-x+31° x -21) 6EI