1. The cantilever beam shown in the following figure is subjected to a load P or...
(a) A cantilever beam shown in Figure 6 is subjected to a concentrated load P. Deflection of the beam at each point can be defined by the following equations: 6EI Pa 6EI F3x-a) for axx<l The following MATLAB code calculates and plots the deflection diagram for a beam with 1-4 m, d1 = 3 m, b = 1 m,E>210 x 10, Pa, 1 = 285 x 10-6 m4 and P = 20 kN. Find at least FOUR errors in the...
Question 1(10 Marks) Design a strain gage-transducer to measure the deflection of the cantilever beam (Fig.1) if the force P is applied at the end of the beam. Consider the length of the beam is L Question 1(10 Marks) Design a strain gage-transducer to measure the deflection of the cantilever beam (Fig.1) if the force P is applied at the end of the beam. Consider the length of the beam is L
The cantilever beam shown is subjected to a concentrated load of P = 46200 lb. The cross-sectional dimensions and the moment of inertia of the W16x40 wide-flange shape are: d = 16.0 in. tw = 0.305 in. bf = 7.00 in. tf = 0.505 in. Iz = 518 in.4 Compute the value of the shear stress at point K, located at yK = 2.4 in. above the centroidal axis. by P y T tw K Lyk Z d x Ун...
Question 3: A steel (E 30x106 psi and v 0.3) cantilever l-beam is subjected to a distributed load and a concentrated load. The I section is 4-inch-wide and 5-inch-tall, and the flange and web plates are all 0.5-inch-thick, as marked in the figure. a) Draw the moment diagram as a function of x and clearly label the moment values at 1, 2, and 4 ft. (10) b) Find the maximum tensile (normal) stress in the entire beam. (5) c) Find...
The cantilever beam shown is subjected to a concentrated load of P = 34500 lb. The cross-sectional dimensions and the moment of inertia of the W16x31 wide-flange shape are: d = 15.9 in. tw = 0.275 in. be= 5.53 in. tp = 0.440 in. 12 = 375 in 4 Compute the value of the shear stress at point K, located at yk = 2.4 in. above the centroidal axis. bi 11 y 1 K Ук | Ун H Answer: Shear...
1. (19 pts) The cantilever beam is subjected to a distributed load w (unit N/m) as shown in the figure. (a) True or false: If the beam is slender, i.e., length, L >> thickness, t, it is reasonable to neglect the shear strain energy, Us, compared with bending energy, UN. ) (b) What are the reaction forces at supports A and B? (c) What is the moment as a function of location along the beam AB? (d) Use energy method...
QUESTION:5.16 um 5.15 The cantilever beam shown in Figure 5.10 is subjected to a ufr load of w per Auming the den etore unit length. Assuming the deflection as 2l determine the constants ci and c2 using the Rayleigh-Ritz method| 5.16 Solve Problem 5.15 using the Galerkin method
The cantilever beam is subjected to a concentrated load of P = 29 kips. The cross-sectional dimensions of the wide-flange shape are shown in the second figure. Assume yH=3.4 in., yK=1.6 in., d=10.6 in., tw=0.323 in., tf=0.507 in., bf=6.12 in. Determine: The cantilever beam is subjected to a concentrated load of P 29 kips. The cross-sectional dimensions of the wide-flange shape are shown in the second figure. Assume y,-3.4 in., Ук_ 1.6 in., d-10.6 in., t,-0.323 in., tf-0.507 in., bf-6.12...
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...
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...