Figure Q2 shows a beam subjected to distributed loading. Knowing the beam is fixed supported at one end and roller supported at the other end; (a) Draw the Free Body Diagram (FBD) of the beam (b) Sketch the possible elastic curve of the beam (c) Define the elastic curve formulation y of the beam using Macaulay Function (d) Define support reactions of the beam

Figure Q2 shows a beam subjected to distributed loading. Knowing the beam is fixed supported at one end and roller supported at the other end; (a) Draw the Free Body Diagram (FBD) of the beam (b) Sketch the possible elastic curve of the beam (c) Define the elastic curve formulation y of the beam using Macaulay Function (d) Define support reactions of the beam

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.38P: A fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the...

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A fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the middle region of the beam (sec figure). Obtain a formula for the fixed-end moments MAand MBin terms of the load q, the length L, and the length h of the loaded part of the beam. Plot a graph of the fixed-end moment MAversus the length b of the loaded part of the beam. For convenience, plot the graph in the following nondimensional form: MAqL2/l2versusbL with the ratio b/L varying between its extreme values of 0 and 1. (c) For the special case in which ù = h = L/3, draw the shear-force and bending-moment diagrams for the beam, labeling all critical ordinates.
Beam ABC is loaded by a uniform load q and point load P at joint C. Using the method of superposition, calculate the deflection at joint C. Assume that L = 4 m, a =2ra, q = 15 kN/m, P = 7.5 kN, £ = 200 GPa, and / = 70.8 X 106 mm4.
Figure Q2 shows a beam subjected to distributed loading. Knowing the beam is fixed supported at one end and roller supported at the other end; (a) Draw the Free Body Diagram (FBD) of the beam (b) Sketch the possible elastic curve of the beam
TEXT: A five (5) metre long beam is stored in A, B and C, as indicated on the sketch. The beam has ajoints in point D. The beam has an outer downward directed evenly distributed load q=4kN/m and a concentratedhorizontal load N=20kN , as indicated on the sketch. a) Calculate the bearing reactions of the beam for the external given load effect.b) Calculate the joint force in the joint D.
SHOW THE FOLLOWING: 1. COMPUTATION OF REACTIONS 2. SHEAR AND MOMENT DIAGRAM 3. MAXIMUM BENDING MOMENT @ THE LOACTION OF THE MAXIMUM DEFLECTION 4. VALUE OF THE MAXIMUM DEFLECTION (A/B). A beam 7 m long is simply supported at its ends and loaded as follows: 120 kN at 1 m from one end A, 20kN at 4 m from A and 60 kN at 5 m from A. Calculate the position and magnitude of the maximum deflection. The second moment of area of the beam section is 400 x 10-m* and E for the beam material is 210 GN/m².
(a) Sketch a free-body diagram showing the forces and reactions imposed on the rigid I-beam in Fig. (a). (b) How many unknown reactions are there in this problem? Is the beam statically determinate or indeterminate? (c) In Fig. (b), the connection to the rigid wall at point A in Fig. (a) is replaced by a torsional spring with stiffness kt. The roller support at point C in Fig. (a) is replaced by a linear spring with stiffness k, oriented vertically, as shown. Sketch the free-body diagram showing the forces and reactions acting on the rigid I-beam in Fig (b). (d) Compute the reactions at points A and C, expressed in terms of F, FH, L, k, kt, etc. A 1/2 B (a) 1/1/12 F. H D X kt A 下 B (b) 1/12 H D C www
200 kN/m 140 kN I (m) 5 10 7.5 Figure.2: Encastré beam under variety of loads Your tasks are as follows: 1- Construct free-body diagram (FBD) to show the reaction forces and moments, and the equivalent force of the distributed load, knowing that the upward reaction force on left side is 200 kN and the reaction moment is clockwise with a value of 1300 kN.m. 2- Show FBD for each required section/cut and include the internal forces and moments. 3- Write the distribution functions of the shear force and bending moment for each cut in the heam. 4- By hand construct diagrams for the shear force and bending moment distributions. 5- Determine the magnitudces and positions of maximum shcar force and bending momcnt.
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.m
Objective:(i) Use the superposition method to verify your answer.(ii) Sketch V and M diagram for the beam.(iii) Select the wide-flange beam which should be used.Subject: Strength of materialsNote: My 50% solution is attached below. Kindly take a look at it and use the equation there to continue the following. Thanks!
(iii) Determine the support reactions for the following loaded beam as shown in Figure 3. 15 kN 20KN/m 20 kN/m A B 3m. 3m. 6m- Figure 3
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the slope at A, (c) the slope at B, and (d) the deflection at midspan. Assume that El is constant for the beam. Let Mo = 50KN-m, L= 4.5 m, E= 180 GPa, and I = 115x 106 mm4. Mo B Answer: (b) 0A = i rad (c) Og = i rad (d) vmid = i mm
Question 4 Derive the equations of the deflection curve for a simple beam AB loaded by a couple (4 1) Mo acting at distance a from the left-hand support as shown in Figure Q4 Determine the deflection , at the point where the load is applied Use the second- (4 2) order differental equation of the deflection curve Mo A Figure Q4 Simply supported beam with a couple applied at its mid-span