Problem-1 (15 points) A cantilever beam ACB supports a concentrated load P and a couple moment Mo, as shown in the figure below. (a) Determine the total strain energy of the beam, (b) Determine t...
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 Method of superposition to solve*** 2.5 k 35 k-in. Problem 9.5-7 The cantilever beam ACB shown in the figure has flexural rigidity EI = 2.1 x 106 k-in.2 Calculate the downward deflections and 8, at points Cand B, respectively, due to the simultaneous action of the moment of 35 k-in. applied at point C and the concentrated load of 2.5 k applied at the free end B. B 48 in. 48 in.
A simple beam AB supports a concentrated load P acting at distances a and b from the left-hand and right-hand supports, respectively (Fig. 9-12a). Determine the equations of the deflection curve, the angles of rota- tion a and at the supports, the maximum deflection 9mx, and the deflection &c at the midpoint C of the beam (Fig. 9-12b). (Note: The beam has length L and constant flexural rigidity El.) Fig. 9-12 Example 9-3: Deflections of a simple beam with a...
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.
engineering mechain Problem-1: (20 points) A cantilever beam is supported by a distributed load, concentrated load and moment as shown in the figure. Use wo= 1 kN/m and L=12 m. Determine the following: a. Write down the equation of shear force and bending moment for the portion of the beam from A to B. b. Draw the shear force diagram for the entire beam c. Draw the bending moment diagram for the entire beam d. What is the shear force...
The cantilever beam shown in the figure is subjected to a concentrated load at point B. The stresses acting at point H on the beam are to be determined. H Cross section For this analysis, use the following values: Beam and Load. a = 1.75 m b=0.30 m @= 60 degrees P = 25 KN Cross-sectional Dimensions d=250 mm bp = 125 mm ty=7 mm tw = 7 mm C= 30 mm (Note: The load P applied at Bacts in...
The cantilever beam shown in the figure is subjected to a concentrated load at point B. The stresses acting at point Hon the beam are to be determined Ques! Text- Quest Text Ent T Quest Text End Cross section Viewir Text-Ent For this analysis, use the following values Beam and Load. Questi Muitstep a. 1.75 m b-0.30 m 0.63 degrees P.49 KN Questid Text Entry Questio Text Entry Cross-sectional Dimensions d - 275 mm by - 150 mm - 13...
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...
1.A cantilever AD is subjected to a pure moment wa at B and uniformly distributed load of intensity w along AB and BC and as shown in Figure 1. The beam has constant EI. Ignore the weight of the beanm (a)Determine the reaction forces at the fixed end D. (6 marks) (b) Express the elastic curve of the beam in terms of EI, w, a and x. (14 marks) (c)Determine the allowable intensity w if the deflection at A is...
2 - Using moment area method, for the beam shown in Figure P-2 find deflection at the center (point C) and rotation under the concentrated load (point D). Also, find location and value of the maximunm deflection. EI constant. 3- Repeat Problem 2 where I for CB is twice as large as I for AC. 4 - For the beam shown in Figure P-3, find the reactions and draw shear and moment diagrams. A is fixed, B and D are hinges, and...