3. A beam is simply supported on both ends where the flexural rigidity EI-1, the distance between...
(2) A simply supported beam of flexural rigidity El carries a constant uniformly distributed load of intensity p per unit length as shown Figure 2 below. Assume the deflection shape to be a polynomial in x, and is given by v (x) = a., + as+ a2 x, where ao, a.呙are constants to be determined. (a) State the boundary conditions for the deflection equation. Using the boundary conditions stated in (a) and the Rayleigh-Ritz method, determine (b) the constants a,...
2. A beam with a uniform flexural rigidity, EI, is loaded by a triangular distributed load, Pz(x), as shown below: a) Find the deflection w(x) (10pts) b) Sketch the shear force V(x) and the beading moment M(x) along the length of the beam, labeling all significant points. (5pts) c) Calculate the maximum bending stress, Omax, and indicate where it occurs. (5pts) z, W Cross Section - 1/3 — * - 2/3 —
A simply supported uniform beam (with length L and flexural rigidity El) carries a moment Mo (clockwise) at a distance -21B away from the left end (x-0). Calculate the deflection () and slope (dv/de) at 21/3 by using the Rayleigh-Ritz Method. Assume a deflection curve of the form v-asin(rx/L), where a is to be determined
A flanged beam simply supported at both ends as shown in the figure below. Determine the steel reinforcements and links required for the beam subject to bending moment and shear forces ood Swt Center-to-center distance btw supports Section Elevation Design parameters: Beam overall depth, h = 750 mm Beam breadth, b = 300 mm c/c distance btw supports = 10050 mm Width of LHS support, Sw1 400 mm Width of RHS support, Sw2 850 mm Slab thickness, h c/c distance...
An 6.5m span simply supported beam is laterally unsupported between both ends . The beam bent about its majo r axis and is subject to a transverse distributed factored load of 10 kN/m (including a self weight allowance). It is required to find an economic section to carry the given loads. (Fy=350MPa).
54. Consider a simply supported (at both ends) beam subjected to loading g Asin ( sin (t) Derive the response and arrive at a conclusion about Resonance. 54. Consider a simply supported (at both ends) beam subjected to loading g Asin ( sin (t) Derive the response and arrive at a conclusion about Resonance.
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and B in terms of w and L. (4 marks) (b) At an arbitrary point, x, express the internal mom (c) Show that the deflection curve of the beam under the loading situation is ent, M(x), in x, w, and L. (5 marks) 24EI...
Problem #3 (25 points) A simply supported, W12x65 beam (A572 Gr. 55 - Fy- 55 ksi; Fu 70 ksi) is subjected to concentrated loads at third points as shown below. The beam is laterally supported at the ends and at third points (i.e., at each concentrated load). Considering x-axis flexural capacity only, what is the maximum factored load, Pu which can be applied? Assume that the controlling load combination is 1.2D 1.6L P Pu Problem #3 (25 points) A simply...
Find the reactions at the supports for a simply supported beam of length 15 m in which the point load of 180 kN is acting at a distance of 5 m, UDL of intensity 130 kN/m acting at a distance of 7 m both from the right end.
Steel Design 3. Given a. W27X84 A992 Steel beam is simply supported over a 25' FT beam length. b. The compression flange of the beam is fully braced along the beam length. c. A uniformly distributed service dead load of 2.5 KLF. d. A uniformly distributed service live load of 3.5 KLF. e. A live load deflection limit of L/360. A dead live load deflection limit of L/240. f. Neglect the self-weight of the beam in all calculations. Determine: The...