The beam shown in Figure 2 has a constant flexural rigidity along its length. The elastic modulus (E) is 70 GPa and moment of inertial is 0.5 x 109 mm4. Use the moment area method to determine the slope at the support B.
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Consider the beam shown in (Figure 1). Solve this problem using the moment-area theorems. Take E = 200 GPa, I = 310(106) mm4. Determine the slope at B measured counterclockwise from the positive x axis.Determine the maximum displacement of the beam measured upward.
3. 20 Determine the slope and deflection at point Dunder flexure using Moment-Area Method. Flexural rigidity of the beam is El and it is constant 5=5m Results table 0= A= 5 kN 3 kN/m A B S 1 m 2 m * 5m Figure 3.
x Incorrect Two beams support a uniformly distributed load of w = 28 kN/m, as shown. Beam (1) is supported by a fixed support at A and by a simply supported beam (2) at D. In the unloaded condition, beam (1) touches, but exerts no force on, beam (2). Beam (1) has a depth of 300 mm, a moment of inertia of 11 = 125 x 106 mm, a length of L = 3.4 m, and an elastic modulus of...
Figure 3b() shows a step beam with different moment of inertia in member 1 and 2. Assemble the structure stiffness matrix, Ke. Then, calculate the reactions at both supports by using matrik stifness method. Assuming the elastic modulus of beam, E 200 GPa. 150 kN 3 5m 2 10 m 1 = 500 x 106 mm4 I = 250 x 106 mm 4 Rajah 3b(@)/Figure 3b() Given: Stiffness relations for a beam element 12 6 12 6 z12 12 6...
The bending moment diagram of a fixed ended beam with an external moment couple of 200 kip-ft applied at midspan is shown below. The flexural rigidity EI is constant. In terms of El, determine (a) The equations for the slope v'(x) for each segment of the beam. (b) The equations for the deflection v(x) for each segment of the beam. (c) The slope at midspan. (d) BONUS 15%): Determine the maximum vertical deflection, the maximum slope, and the locations of each.
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...
2. The governing differential equation that relates the deflection y of a beam to the load w ia where both y and w are are functions of r. In the above equation, E is the modulus of elasticity and I is the moment of inertia of the beam. For the beam and loading shown in the figure, first de m, E = 200 GPa, 1 = 100 × 106 mm4 and uo 100 kN/m and determine the maximum deflection. Note...
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q = 18kN/m and a concentrated load of P = 23kN at the centre. Consider length of the beam, L = 3m, Young's modulus, E = 200GPa and moment of inertial, I = 30 x 10 mm-. Assume the deflection of the beam can be expressed by elastic curve equations of the form: y(x) = Ax4 + Bx3 + Cx2 + Dx + E. 1) Sketch...
Consider a cantilever beam under a concentrated force and moment as shown below. The deflections ofthe beam under the force F (y) and moment M (y) are given by: 2. y' Mo L-x) , and y2 Me , where EI is the beam's flexural rigidity. The slope of the beam, 0, is the derivative of the deflection. Write a program that asks the user to input beam's length L, flexural rigidity EI (you may consider this as a single parameter,...
Use Moment Area Theorems in the beam shown in figure 3 to determine the following: a- Deflection at C. b- Deflection at D. c- Slope at C. d- Slope at D. Use E for modulus of elasticity and I for the moment of inertia for the whole beam. 20KN B k C pin Roller 4m 6m 4m Figure 3