Problem 2 (15 points) For the loading case on the cantilever beam shown: i) Use the...
For the cantilever beam and loading shown, use the method of superposition to determine (a) the slope at point A, (b) the deflection at point A. Use E 200 GPa. Hint: Use the expression found in Problem 1 for the tri angular load. 120 kN/m W360 × 64 20 kN 2.1 m
For the cantilever beam and loading shown in Figure Q3(b), determine: i The equation of the elastic curve for portion AB of the beam. ii) The deflection and slope at B. wL2 6 0 Mc 6 (a Figure Q3(h)
Q1. For the cantilever beam and loading shown with circular section of 60 mm diameter and E = 200 GPa, use Double Integration Method to determine the value of the first arbitrary constant C1. Unit of force must be in KN and unit of length must be in m. Express your answer in three decimal places. Q2. For the cantilever beam and loading shown with circular section of 60 mm diameter and E = 200 GPa, use Double Integration Method...
4. Use singularity function method to solve the problem. The cantilever beam has modulus of elasticity E and bending moment of inertia I. (1) Draw the free body diagram of the beam (2pts). (2) Find the reactions at the supports (3pts). (3) Find the loading (intensity of load) of the beam in singularity function form (4 pts). (4) What is the vertical shear function like? (4pts) (5) Houw much is the moment? (4pts) (6) Express the elastic curve of the...
For the cantilever beam and loading shown, determine (a) the equation of the elastic curve for portion AB of the beam, (b) the deflection at B, (c) the slope at B. W2 a2 Fig. 29.5
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*
please use singularity functions For the cantilever beam and loading shown, use singularity functions or integration to determine the slope and deflection at the free end. B L/2 — A L /2- 6. PL2/24EI , PL3/48EI 1
Q5. The cantilever beam, AC, is subjected to the load case shown in Figure 5. For the loading shown, do the following: [10 Marks] a) Calculate the magnitude and direction of the reactions at A b) Using the Macaulay function, determine the displacement in y of the point B of the beam (x 2.4 m from the support at A) [10 Marks] c) Determine the slope at B. [5 Marks] The beam has a Young's modulus of E-200 GPa and...
Рkip W kip/ft Problem No. 6 (30 points) The cantilever beam of length L and constant modulus of rigidity El is supported at B and subjected to uniformly distributed load w (kip/ft) throughout and a concentrated load P (kip) at A. (a) Using the method of integration, determine deflection at A (as fraction; do not use decimal). (b) Determine the rotation at A (as fraction; do not use decimal) (c) List two major assumptions used in solving this problem. El...
For the cantilever beam and loading shown, determine the slope and deflection at point B. Use P 5 kN and E 200 GPa. (Round the final answers to two decimal places.) S100 X 11.5 0.75 m 0.5 m The slope at point B is The deflection at point B is x 10-3 rad. mm ↓