And by substituting the given values in the
derived formula,
i.e., =(120×6³) /192
We get Ans =135 KNm³
Consider one span of a continuous beam has a concentrated load P=120kN applied at mid-span. The...
Consider one span of a continuous beam has a concentrated load P=120kN applied at mid-span. The span of the beam L=6m. Р L/2 M M2 L In order to solve for the deflection of the beam, the structure can be computed by superimposing the following three system I, II and II. II (III M M2 L A B A ВА B System 1 System II System III Final Solution Assume system II is a simply supported beam with an external...
Consider one span of a continuous beam has a concentrated load P=120kN applied at mid-span. The span of the beam L=6m. P L/2 M CE M L In order to solve for the deflection of the beam, the structure can be computed by superimposing the following three system I, II and II. II (III M M - A 00 B A А B System 1 System II System 111 Final Solution System I is a simply supported beam with a...
Consider one span of a continuous beam has a concentrated load P=120kN applied at mid-span. The span of the beam L=6m. P L/2 M, ) M2 L In order to solve for the deflection of the beam, the structure can be computed by superimposing the following three system I, II and II. (II III M M2 L L A B A 00 A B System 1 System 11 System III Final Solution 9. RT AE Assume system III is a...
A steel I-beam with a span of 20 feet will support both a concentrated load of 15 kips at the beam center and a uniformly distributed load of 2 kips/ft along the entire beam length. The steel beam is Grade 50 (Fy= 50,000 psi). i) Calculate for the lightest W-shape section that will safely carry the load, with the depth not to exceed 17 inches. Provide sketches. ii) The analysis is to include (a) bending strength, (b) shear strength, and...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN/m is applied force acts downward on the span of BC as shown in Figure 2. The EI of the beam is over the span of AB and a 60kN constant (a) Determine the internal moments at A and B using the slope-deflection method [10 marks] (b) Draw the bending values of bending (c) Sketch the deformed...
Problem 7.5 of your textbook (Haldar & Mahadevan): A simply supported beam of span L 360 inches is loaded by a uniformly distributed load w kip/in. and a concentrated kip applied at the midspan. The maximum deflection of the beam at the midspan can be calculated as: mar- 384 EI 48 E A beam with El 63.51 x 106 kip-in.2 Is selected to carry the load. Both w and P are statistically independent RVs with mean values estimated to be...
A rectangular reinforced concrete beam of span 16 ft supports a concentrated load of 40 kips at mid-point of the beam and a uniformly-distributed load of 4 kips/ft over the entire span. Given: (a) The breadth of the beam is 18 inches. (b) Concrete compressive strength, f 'c, is 3500 psi. (c) Rebar is Grade 40 steel i) Determine the maximum moment and maximum shear acting on the beam. ii) Determine the minimum effective depth 'd' of the beam section...
An A992 beam, simply supported at both ends, spans 20 ft and is loaded at mid-span with a dead load of 8.o kips and live load of 24.0 kips, in addition to its self-weight. Assume full lateral support and a compact section. Select the lightest weight wide-flange members with respect to bending capacity. Does the member selected in part (a), satisfy the live load deflection criteria of L/360.? Does the member selected in part (a), satisfy the live load deflection...
A cantilever beam of length L and constant EI carries a
concentrated load P at a distance of L/4 from the free end. Use any
method that you chose to develop an expression for the deflection
of the free end. VEI = ?
Loading Loading Function wwx) Shear V /w(xdx Moment M-Vax 1/4 M = M-a) V-M, M-M V-a) N-P) 03 V- M- (3 shop
(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...