70ON 5) Using the double integration method, 5QN determine the diameter D to limit the Bearing Be...
double integration method
Q2 Determine the equations of the elastic curve using the coordinates x, and x2, specify the slope and deflection at B. EI is constant. W To A B -X147 a - X2 |--X3 L
(a) Using the direct integration method, determine the deflection (in mm) at midspan (halfway along the span) of the following beam. The beam's flexural stiffness, EI, is 2x 1012 Nmm2. (b) Using the direct integration method, determine where the maximum deflection occurs along the span and calculate the maximum deflection in mm) at that point. The beam's flexural stiffness, EI, is 2x 1012 Nmm2. 15 kN/m 7
Problem 8 (Integration) For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for segment AB of the beam, (b) the deflection midway between the two supports, (c) the slope at A, and (d) the slope at B. Assume that El is constant for the beam. - X A * 12*
2. Use the double integration method to solve for the requested quantities. (Use whatever coordinate system you desire for the generation of the equations. You will then use your equations to solve for the quantities at the specific locations.) (20pts) Determine for 6, and where E-1.99-10° psi and 950 in' 1 klf EI 15 ft 5 ft 3. Use the virtual work method to determine the deflection of each of the joints indicated. E ksi. Find ΔΕΧ and Bar areas:...
Data are given-see 2 pictures attached
I am not sure if these answers are correct. I have used Micro
stran to solve them.
I need manual calculation by using Mc Cauley's Method(double
integration) to compare them.
Deflection at B = -2.073mm C=-2.045 mm D=-1.876mm F=
+2.033mm
= 40 kN All dic tances in m-enhart it to meter 4.9a x100 mm sin 1150! 150, 675ーーーヒーー600 --イ 975 2550 Simply-supported beam with cantilever overhang and a single vertical point load
= 40...
(a) Figure Q3 (a) shows a cantilever beam which is carry a load P at point C. (1) Sketch the deflection curve of the beam. (2 marks) t (ii) Derive the bending moment deflection, slope deflection and deflection equation at b-b using Double Integration Method. (10 marks) FIGURE Q3 (a) Calculate the maximum deflection. Given: = 10 m a = 3 m P = 25 KN El is constant d 100 mm D (5 marks) 200 mm t6 mm (b)...
A cantilever beam is shown in the figure below. Using the second-order integration method (moment-curvature equation): (a) Determine the equation of the deflection curve v(x) and draw the curve (6) Determine the deflection ve and the slope OB at B. Consider Young's Modulus E = 210x10° Pa. 2N А 200 mm B > 10 m 100 mm
Question 2 The double integration method is boundary conditions to A Determine the constants of integration Determine the support reactions O Determine the influence line None of the above
1) [40 pts] Determination of minimum shaft diameter using DE-Gerber, DE-ASME Elliptic, DE-Soderberg, and DE-Goodman criteria A shaft is loaded in bending and torsion such that M. = 66 Nm, T. = 42.496 Nm, Mm = 51.858 Nm, and Tm = 33 N m. For the shaft, S, = 700 MPa and S, = 560 MPa, and a fully corrected endurance limit of S, = 210 MPa is assumed. Let K = 2.2 and Kis = 1.8. With a design...
Q.2) A boxed beam shown below supports a uniformly distributed load w 180 N/m. Two parts of the beam AB and BC are connected by a pin at B. Using the integration method, find the deflection at B. Assume E = 200 GPa. 40 180 N/m 60 mm 1 m 75 mm Beam Cross-section
Q.2) A boxed beam shown below supports a uniformly distributed load w 180 N/m. Two parts of the beam AB and BC are connected by a...