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For the beam below, let the uniform distributed load (w) be 15 kN/m and the beam...
The simply supported beam is subjected to a uniform distributed load, w of 30 kN/m in the negative y-direction and a point load, P of 15 kN in the negative z-direction. The total length, L of the beam is 6 m. Answer the questions that follow: 'n Eenvoudige opgelegde balk word belas met 'n uniform verspreide belasting van w 30 kN/m in die negatiewe y-rigting en 'n puntlas P = 15 kN in die negatiewe z-rigting. Die totale lengte, L...
The two-span continuos beam (ABC) shown in the sketch below carries a uniformly distributed load, w, in the left side span AB. Assume that EI is constant. Use the method of virtual work, together with the principle of relative displacements, to determine the following quantities in terms of E,I,L and w: The two-span continuous beam (ABC) shown in the sketch below carries a uniformly distributed load, w, in the left side span AB. Assume that El of the beam is...
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...
The below wooden double overhanging beam is under a uniformly distributed load W. The wood is weak along the orientation of the grain (or wood cell fibres) that makes an angle of 30° with the horizontal (see figure). The maximum shear stress on a plane parallel to the grain that the wood can sustain is t,max = 5 MPa, and the maximum normal stress of wood is omax = 25 MPa. The Young modulus of this wood is E=15 GPa....
Question 10 If the intensity of the distributed load acting on the beam is w = 3 kN/m, determine the vertical reaction force at support B 9.05 KN 6.21 kN 3.15 KN 8.78 KN
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load w and a moment MI shown in the figure. Neglect the weight of the beam. (a) Draw the free body diagram for the beam showing all the 2 m reactions, replacing the support M.-2 kNm by the reaction forces/moments. (b) Use the equations of equilibrium to find the reaction forces/moments at R (c) Give the expression for the shear force, V- V(x), and the...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa. F 8 kN 8cm 3cm 3cm 7 m 5 m 3 m 2cm W= 6 kN/m 6cm A D B 2cm 7TITT TITIT Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and...
Select the lightest W shape to support a uniformly distributed load of 80 kN/m and concentrated loads of 26kN located 4.5 m from the end of the beam. The beam is 16 m, Deflection is not to exceed span/280.
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...
x Incorrect Two beams support a uniformly distributed load of w = 28 kN/m, as shown. Beam (1) is supported by a fixed support at A and by a simply supported beam (2) at D. In the unloaded condition, beam (1) touches, but exerts no force on, beam (2). Beam (1) has a depth of 300 mm, a moment of inertia of 11 = 125 x 106 mm, a length of L = 3.4 m, and an elastic modulus of...