A For the beam shown in the figure, determine the mechanical elements using the Slope Deflection Method and the Stiffness Matrix Method. The bending stiffness El is constant. Do not omit El in matrix 4k/ft 15 ft B 20 ft C 15 ft-
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- L by the double integeration method. E = 200 GPa , I = 20 X10ʻmm“, and L = 3.0 m._Extra points will be added if you also model it using RISA-2D software. Send me the model file, the deflected shape in a PDF file Compute the values of slope and deflection for the beam shown below at x = with the maximum deflection values, and a screenshot (image) for the deflection value at the pointL shown on the deflected shape. 350 KN/m 70 KN/m 400 KN.mUse the slope deflection method by using the graphical method to calculate deflections and draw bending moment diagrams then draw the shear force, axial force and bending moment diagrams.Mechanics of deformable bodies: shear and moment diagram in beams. From the given figures below, draw the shear and moment diagram of the beam. Its either using the shear and moment diagram or area method. Please show the solving solution also.
- 1. In figure (1), shows a uniform beam subjected to a linear increasing distributed load. The equation for the resulting elastic curve is: w y = 120EIL (-x5+2L?x3 - L*x) Using the numerical methods to determine the point of max. deflection (that is, the value of x where "Y 0. Then substitute dx this value in the given equation to find the value of maximum deflection. Using the following parameter values in your computations: L = 600cm; E50000 k N/cm2;1=30000cm* and w =2.5k N/cm. (a) r Ly 0) =0, v- 0) (b) Figure (1)For the beam and loading shown in Figure 5, determine the value of (r) at the point of action of the resuitant force of the distributed load using point B as the origin. Parabola Vertex 2000 N/m 900 N/m B 6 m A Figure 5: A parabolic distributed load on a beam AB. Answer: If the loading were analysed using point A as the origin, would the value of w at the location of the resultant change? Select one: a. No b. YesFor the same beam and loading case in Figure Q1, which of the following best describes the mostaqREDdiate method for finding the vertical deflection for any point along its length? Oa Use the Tresca criterion. Ob. Form an equation for the bending moment as a function of x - writing some terms using Macaulay notation - and then use double integration. OC Apply Euler's theory of buckling. O d Apply Castigliano's theorem. O. Form an equation for the bending moment as a function of x and then use double integration (Macaulay notation is NOT required for this problem). OF. None of the provided answers are correct.
- Instruction: Solve the following problems about deflections of beam using Double Integration Method. 60N 1. Find the deflection of the beam shown: a) At 1 meter from the left support b) At the midspan c) At 4 meters from the left support 3m 3m Use flexural rigidity = EI R1 R2Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b-9.0 ft. c=4.0 ft, d=3.0ft, w=8 kips/ft and P = 66 kips. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. B B ÎÎÎÎÎÎ Answers: Ay=i b d For this loading, calculate the reaction forces Ay and Ey acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) W C b C C D E kips, Ey = i E X Ey kips.6 30.| zain IQ bäð öeljäll - 2_5217624247974759356.pdf ビン Cumaression -5ッ7.o46 +3.M N.A Coupression Tens.'on Teusiou HiWi A beam with I cross-Section is Subjected to negative bending moment M: 50 k.m.The Cross sectioncel dimensions of the beam are shown. Determine the magnitude of maximum pendling stress. loumm 120 mm و من ۹
- B X-SeT Problem Statement: Consider an S203x34 beam under self-weight loading only with a length of 11.4 m. Find the following, assuming the beam is composed of structural steel. (a) The deflection of the beam at B. (b) The slope of the beam at point B. (c) The factor of safety against yielding for the beam. (Use the sectional modulus for this question.) (d) The maximum length of the beam given a factor of safety of 2.02 against yielding. (e) The deflection of the beam at point B using the length calculated from part (d). Answers: (Denote upward deflections with positive values, and downward deflections with negative values. Denote positive slopes with positive values and negative slopes with negative values.) (а) ув - (b) OB = (c) FS = (d) anew = (е) ув,леш be sure to include units with your answersThe dimensions are of the graph are d1 = 7 cm , L1 = 6 m , d2 = 4.2 cm , and L2 = 5 m with applied loads F1 = 130 kN and F2 = 60 kN . The modulus of elasticity is E = 80 GPa . Use the following steps to find the deflection at point D. Point B is halfway between points A and C. What is the reaction force at A? Let a positive reaction force be to the right.1. By the m oment-are a me thod find the slope and de flectio n at the free end A of the can tile ver beam AB. E = 30,000k/in and I = 200 in . Refer to the figure below. A l decim a ls must be in c lu ded, do not round o ff answers. A ll fig ures must be included and drawn straight. curves may be done freehand. Sum m arize your answers as shown be lo w. Required Va lu es Answer B A L1 L2 k/ft ft ft 0.690 6