For the simple beam shown in the figure below, determine the slope at'B and the deflection at D if E= 16,500 MPa and I = 105 x 106 mm4.
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- Determine the slope and deflection at point B of the beam shown below by the moment- area method. 90 kN 5 m El = constant E = 200 GPa I = 800 (106) mm4 %3D %3DQ3) Determine the magnitude of the resultant force and its direction (0) measured .counterclockwise from the positive x axis y F2 = 61 N F1 = 80 N F2 = 20 N %3D %3D12.18 0A and Aa. Reactions given. I=2690 in.*. 30 k 60 k A 10 ft 10 ft 15 ft 15 ft 20 ft 30 ft 2.62 k 65.63 k 21.75 k can you solve this problem with Conjugate Beam Method? E = 29*10^6psi %3D
- 1/2 Determine the magnitude of the vector sumV = V + V2 and the angle 0, which V makes with the positive x-axis. Complete both graphical and alge- braic solutions. y V2 = 12 units %3D V = 10 units %3D 60° Problem 1/21. Use conjugate beam method to determine the slopes and deflections at points B and C of the beam shown below. Use E=200 GPa & moment at Cas 500N.m. A В C 500 LAB = 8(10°) mm* IBC= 4(10°) mm* 4 m %3D 3 mSituation 3. The structure shown is acted upon the two forces and a couple as shown. 12. Which of the following gives the first moment of the area with respect to the x and y axes? a. Q. = 299707.99 mm, Q,= 249530.99 mm b. Q, = 164707.99 mm', Q,= 384530.99 mm c. Q. = 384530.99 mm', Q,= 164707.99 mm d. Q. = 249530.99 mm', Q,= 299707.99 mm 13. Which of the following gives the coordinates of the centroid of 60 mm R= 60 mm the area? 60 mm c. (31.24 mm, 72.93 mm) d. (72.93 mm, 31.24 mm) 30 mm a. (56.84 mm, 47.33 mm) b. (47.33 mm, 56.84 mm) 14. Which of the following gives the moment of inertia of the area with respect to a centroidal axis parallel to the given y-axis? a. 6275933.10 mm b. 5178994.59 mm 90 mm- c. 7822008.93 mm d. 4444962.54 mm
- 32 kips 05 For the beam shown, estimate the displacement at point B in terms of El.Tha). (9.26 displacment of Point D. Using the method of virtual work, find the vertical E = 29,000 Ksi. 1 in 2 2 3 31 All members have a cross- Sectional area of G 10 B. 3K ( с 4' 41% 3K down word 733 41 3kDetermine the sum of the moments created by the forces shown in the accompanying figure about points А, В, С аnd D. A, 5 cm 35 2 cm B 50 N 3 cm 50 N 100 N Note: Assign a positive sign to counterclockwise rotations..
- 2-Determine the slope and deflection at point B of the beam shown by the direct integration method 1(Ut ñş) 50KN m A В 4 m El = constant E 70 GPa %3D I 164 (106) mm4 %3DDraw the M, N, T diagrams of the beam in the figure using the integration method. 8kN 4kN/m 13 A В 3kNm 5m 1.5m7.34 and 7.35 Use the virtual work method to determine the slope and deflection at point D of the beam shown. A -7 m 120 kN ↓ B -3 m C ΕΙ = constant E = 200 GPa I = 262 (106) mm² -5 m