Determine the elastic curve for the beam in terms of El. Use the Discontinuity Method. 3...
P10.035 (Multistep) For the beam and loading shown, use discontinuity functions to compute (a) the deflection of the beam at A and (b) the deflection of the beam at C. Assume a constant value of EI 26000 kN m for the beam. Also, assume P-31 kN, W 23 kN/m, wc -62 kN/m, a -2.1 m, b-3.7 m, and c1.3m WB *Part 1 Calculate the reaction forces B, and D acting on the beam. Positive values for the reactions are indicated...
For the beam and loading shown in the figure, integrate the load
distribution to determine the equation of the elastic curve for the
beam, and the maximum deflection for the beam. Assume that
EI is constant for the beam. Assume EI=25000 kN⋅m2, L=2.4
m, and w0=61 kN/m.
(a) Use your equation for the elastic curve to
determine the deflection at x=1.5 m. Enter a negative value if
the deflection is downward, or a positive value if it is
upward.
(b)...
3. (25%) Determine the equations of elastic curve for the cantilever beam of bending rigidity El using the coordinates X1 and x3, and find the slope and deflection at the free end B. B
3. (25%) Determine the equations of elastic curve for the cantilever beam of bending rigidity El using the coordinates X1 and x3, and find the slope and deflection at the free end B. B
3. Determine the deflection at point C, and the equation(s) of the elastic curve (for the entire beam). Use E- 200 GPa. Required: use direct integration (similar to Sample Problem 9.). Show all work, especially how constants of integration are determined. Note: the origin, x-0 should be at port A for all parts of your work. Show statics work to justify the M(x) functions that are the basis of your solution. M,-38 kN . m W100 X 19.3 a 0.8...
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...
Question 3 Use discontinuity equations to develop the load function w(x) for the beam shown below. Include the beam reaction in this expression. Integrate w(x) to determine V(x), and M(x), Use these functions to plot the shear-force and bending-moment diagrams using excel. Include table data obtained Determine the bending moment M in the beam at the point located 2.12 m to the left of point C 2.0 kN/m 5.0 kN/m 3 m 5 m 4.70 kN 14.30 kN
7-8. An overhanging beam is supported shown functions equation of the elastic curve and deflection Using determine and loaded discontinuity the the as at point C d w AA al2 a al2-
7-8. An overhanging beam is supported shown functions equation of the elastic curve and deflection Using determine and loaded discontinuity the the as at point C d w AA al2 a al2-
Question 3: (8 Marks) Apply Moment Area Theorems and Conjugate Beam Method to determine the slope and deflection at points B and C of the beam (Figure 3). El constant. 20 kN 400 kNm 15m 10 m Figure 3
Q2: (12-4) Determine the equation of the elastic curve for the beam using the x coordinate that is valid for osx< L/2. Specify the slope at A and the beam's maximum deflection. El is constant.
Q2: (12-4) Determine the equation of the elastic curve for the beam using the x coordinate that is valid for osx
Part A Consider the beam shown in (Figure 1). EI is constant Determine the equation of the elastic curve tor the beam using the z1 coordinate tor 0 L/2 Express your answer in terms of the variables P, E, I, L, and 01F Figure 1 of 1 Submit Part B Determine the equation of the elastic curve tor the beam using the 2 coordinate for L/2L Express your answer in terms of the variables P, E, I, L, and z...