(a) Find the equation of elastic curves (y) (b) The deflection at B (c) The slope...
beam with negligible weight .(a) the slope at supports A and B. elastic curve for section AB of the beam and (b) 11 kN 6 kN/m А с M = 40 kN-m B 5 m - 2 m (a) V= (b) A = Og = — EI = 100x10 Nm
Find the equation of the elastic curve, y(x) (deflection) by integration of the Moment equation, M(x)/EL. Find the location of maximum deflection. In a small dam, a typical vertical beam is subjected to the hydrostatic loading shown in the figure. Determine the stress at point D of section a-a due to the bending moment. Ans: 7.29MPa.
The equation of the elastic curve (deflection) for a simply supported beam under uniform load is given by y= 1.7 * 10^-5 x^2 (160 - x^2 + x^3), in which, x is the distance from the left support of the beam to any point on the beam, and y is the deflection, both in meters. Find the rate of change of the deflection of the elastic curve at x m = 2
Compute the reactions and draw the shear and moment curves for the beam below using SLOPE DEFLECTION method 1. Compute the reactions and draw the shear and moment curves for the beam below using slope-deflection. EI is constant. Note this is the same beam from HW10 Problem 2, where you used the Force Method. 8 5 M 5m
Use the Conjugate Beam Method to compute the slope and deflection at points B and C for the beam given below. EI = constant. Express answers as positive quantities with correct units in the numerator terms, and with appropriate directions Problem 1. Use the Conjugate Beam Method to compute the slope and deflection at points B and C for the beam given below. El constant. Express answers as positive quantities with correct units in the numerator terms, and with appropriate...
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...
Find the slope and deflection curves of the beam E=30e6 psi
0 B UA BA Elastic curve L dv M = EI dx² The deflection equation of the above cantilever beam is 2EI (L? – x2) P 6ET (-23 +3L2x – 2L)
Problem 3: For the beam shown find the slope and deflection at point B and C 100 KN 300 kN-m 6 m E = constant = 70 GPa 1 = 500 (106) mm Problem 4: For the beam shown find the deflection at point B and the slope at point A 80 KN 12 m 12 m E = constant = 200 GPa I = 600 (106) mm
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....