E= 200GPa
I=700*106 mm4
For the beam shown determine:
1. Using the method of the three-moment equation, determine the reactions at eachone of the supports.
2. Using the double integration method, determine the slope and deflection equations.that describe the behavior
throughout the beam.
3. Using the moment area method verify that the deflection values at C and theslope in B are similar to those
obtained through the double integration method.4. Ask God for forgiveness for all your sins
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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*
The cantilevered beam shown here has a known rigidity, EI, and length, b, and is loaded with a point force and a point moment as shown a) Determine all reactions forces and draw the shear and moment diagrams for this loading.b) Using discontinuity functions and the integration method, find the deflection and the slope of the beam at the free end.c) Using the moment-area method, find the deflection and the slope of the beam at the location of the point load.
3.) Determine the maximum deflection and the maximum slope for beam shown below using either the moment area method or the conjugate beam method. (25P) 120 kN A AE ー10m ㅡㅡ 5 m EI constant E -200 GPa 1 = 700(106) mnm4
A beam of the roof of a building is assumed to be loaded as in Figure below along with its support conditions at the end. Determine: (i)the reactions at the supports A and C (i) the deflection in the middle of the span by the double-integration method Wa Fixed end Fixed end A beam of the roof of a building is assumed to be loaded as in Figure below along with its support conditions at the end. Determine: (i)the reactions...
9. For the beam loaded and supported as shown in Figure (see Week 4), use the integration method to determine (a) The equation of the elastic curve using the xi and x2 coordinates (b) The slope at A. (c) The deflection at C Take E 200 GPa and1- 4 x 108 mm4 30 kN 20 kNm 4 m 2 m 9. For the beam loaded and supported as shown in Figure (see Week 4), use the integration method to determine...
3 (a) For the beam shown in Figure Q3.1, E 200GPa and I 22:10 m throughout. By using the stiffness method and neglecting axial effects: (i) Calculate the rotations of each of the supports [5 marks (ii) Calculate the bending moment and shear force diagrams. [10 marks] (iii) Calculate the reactions and check equilibrium. [5 marks] 7.5kNm SkNm 2 2 Im Im Figure Q3.1 3 (a) For the beam shown in Figure Q3.1, E 200GPa and I 22:10 m throughout....
3 (a) For the beam shown in Figure Q3.1, E 200GPa and I 22:10 m throughout. By using the stiffness method and neglecting axial effects: (i) Calculate the rotations of each of the supports [5 marks (ii) Calculate the bending moment and shear force diagrams. [10 marks] (iii) Calculate the reactions and check equilibrium. [5 marks] 7.5kNm SkNm 2 2 Im Im Figure Q3.1 3 (a) For the beam shown in Figure Q3.1, E 200GPa and I 22:10 m throughout....
3. A simply supported beam is loaded as shown. Determine the maximum deflection of the beam, and slope at A. Use any of the three methods: 1) double integration, 2) moment-area, or 3) conjugate beam 5k 5K (20) DJ E = 29x10° psi I = 600 in4 klokt kloft * loft &
Determine the reactions and draw the shear and bending moment diagrams for the shown beam using slope-deflection method.
Part II: Problem 6 Determine the equations for deflection (y) and slope (θ) as a function of x for the beam below. What is the deflection at A and the slope at A when E = 200 GPa and I=65.0 (106) mm4?