Using moment area method, determine the slope at the free end (point C) of the beam shown below. Take E = 200 GPa and I =360 x 106 mm^4. %3D 5m 10KN C 10m

1. Given the vectors A = 5i + 3j + 2k and B = 10i – 7) – 2k. Find the following: (a) A. (b) Angle between A and B (c) Ax B (d) (A+B) x (A-B)

SOLVE STEP BY STEP IN DIGITAL FORMAT Determine by the method of nodes the forces at which all the members of the following truss work. 5.5 K 8 pies 10 pies D 6 pies 3.5 K 8 pies 10 pies 40° A E

3. (a) Use the moment-area method to determine deflections at C of the beam shown in the figure. BMD for the beam is given below. Take E = 200 GPa and I= 60 x 10° mm (b) Verify the results by conjugate beam method. 20 kN/m 150 kN 120 kN E 3EI 3EI C EI D EI - 6 m > 3 m * 3 m 3 m 270 180 BMD (kN.m) -360

Determine the Horizontal Deflection at B of Frame shown in inches unit. Use the Virtual Work Method. Distances are in feet. Show complete Solutions 18k/ft 12k/ft YHINGE 1 D 15k 21 5 1.51 1.51 3 E= 29x10' ksi I= 40 in 4 1. What is the Horizontal Reaction at A? [ Select ] 2. What is the Vertical Reaction at A? [Select] 3. What is the Horizontal Reaction at E? ISelect ] 4. What is the Vertical Reaction at E? [Select] 5. What is the Horizontal Deflection at B? I Select ]

Determine the slope and deflection at point B of the steel beamshown in the figure. The reactions are already given. Let E = 29(10^3) ksi and I = 800in^4

Determine the slope and deflection at point A of the beam shown in the figure.

3) The T shaped cross-section of a beam is made of a flange (the upper horizontal area A1 = 2000 mm2) and a web (the lower vertical area A2 = 3200 mm?) as shown in the figure. 20 mm If you want to compute the vertical distance C, of the centroid of this cross-section from the bottom most point of this cross- а. section then give the expression in terms of some numbers from which Cy can be computed. No need to carry out the calculation. b. From part (a) if you get Cy = 114.6 mm then give the final expression of the area moment of inertia Ix (about the x-axis going through the centroid of the T-section). Your expression should only contain some numbers. No need to finish the calculation. Give the final expression of the area moment of inertia ly (about the y-axis going through the centroid). Your expression should only contain some numbers. No need to finish the calculation. d. If you drill a circular hole of 15 mm diameter with its center 160 mm С. 20 mm 100 mm coinciding with the…

The cantilever beam is a 10 in length carbon steel bar, with a diameter of 1 in. And it is charged by a force F = 100 lbf.A) A Find the maximum deflection using the method of virtual forces, including that resulting from shear.B) What error will be introduced if the shear is disregarded?

Use 3 decimal places