For the cantilever beam shown, determine the reactions at the fixed end. The length of the...
Q13. Consider a cantilever beam of 10m length fixed at right end. It carries 5 stones of length 2 m each placed on the beam. The load of each stone is 5 kN/m. A rod of 10 kN load is placed on the beam at 2 m from fixed end and another rod of load 12kN at midpoint of the beam. All the loads are acting downwards. Draw the beam with the loads and fixed condition. Mark the fixed end...
A propped cantilever beam is loaded as shown. Assume that EI = 250,000 kN-m2, and use discontinuity functions to determine (a) the reactions at A and B. (b) the beam deflection at C. The reaction forces are positive if up and negative if down. The reaction moment is positive if counterclockwise and negative if clockwise. Assume LAB = 5.4 m, LBC = 2.9 m, MC = 700 kN-m. V Mc X A B LAB LBC Answers: (a) Ay = KN...
A propped cantilever beam is loaded as shown. Determine the reactions at A and D (positive if the force is up and if the moment is counterclockwise) for the beam. Assume EI = 8.1 x 106 lb-inf. Assume L 66 in., w 29 lb/in., P-440 lb Answers: lb, MA--37752 Ib-in A 1144 572 D= lb.
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...
Problem 2: i. For the cantilever beam (free at A and fixed at B) determine the expression for moment as a function of x, that is M(x). Take A as origin. [10 Points 4 kN/m T - 2 m 27 - 2 m The expression for moment as a function of x, that is M(x), is shown below for a cantilever beam (fixed at A and free at B), considering A as origin. Taking EI constant, determine the slope and...
A propped cantilever beam with length an is subjected to a trapezoidal load with intensities, 2018 and 9,- 30 kN/m Find the reactions at A and B. Hint: The loading is the sum of uniform and triangular loads. (Enter your reaction forces in kN and your reaction moments in KN · m. Solve this problem by the method of superposition. This beam has constant flexural rigidity El. Assume that the +x-axis is to the right, the +y-axis is up along...
Plot the shear force diagram along the length of the beam A cantilever beam as shown in the figure below is used to support a tip load of 1 kN and an axial compressive load of 10 kN. The beam has a length L 1 m and a square cross-section with side length of 0.05m. [15 marks] 1 kN 1 m
QI A cantilever beam carries a horizontal point load of 100 kN at its end, as shown in Figure Q1 (a). In this case, the self weight of the beam must be included. The beam is made from a square box section with a width of b and a depth of b (refer to Figure Q1 (b)). The density of the beam is 20 kN/m and the maximum allowable longitudinal stress of the beam is 200 N/mm². Figure QI (a)...
A cantilever beam supports the applied loads and moments as shown. (a) Calculate the support reactions. (b) Use the graphical method to construct the shear-force and bending moment diagrams for the beam. Also label the values of shear-force and bending=moment at all key points. 30 kN/m 25 kN 12 kN/m 80 kN.m х A В C D E F 1 m 3 m 1 m 1 m 1 m
Q1 A cantilever beam carries a horizontal point load P of 100 kN at its end, as shown in Figure Q1 (a). In this case, the self weight of the beam must be included. The beam is made from a square box section with a width of b and a depth of b (refer to Figure Q1 (b)). The density of the beam is 20 kN/m² and the maximum allowable longitudinal stress of the beam is 200 N/mm2.K b P=...