3. Set up necessary equations to solve for the beam reactions. Due to poor construction, roller support B settles by 12 mm. If E=200 GPa and l=80(10)6 mm4 24KN/m C 4m 4m
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- Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.Solve Problem 11.3-3 for a W 10 × 45 steel column having a length L = 28 ft.3. Determine the displacement and slope (i.e. 0) at the load point for the stepped beam shown in the following figure. Also determine the reaction forces and moments. Each element has E = 200 GPa. The area moment of inertia are given as I₁ = 1.25 × 105 mm4, and 2 = 4 x 104 mm. Clearly show the elemental stiffness matrices (k) for each element, assembly of k matrices to get global stiffness matrix (K) and application of boundary conditions. Then solve the reduced K matrix to get displacements and reactions 3000 N 150 mm 75 mm 125 mm
- The beam shown below is supported by rollers at A and B, and by a pin at C. If EI is constant over the length of the beam, find the reaction forces at A, B, and C. 15 kip AT 6 ft B_ 6 ft 12 ft 3 kip/ft CThe beam is supported by a pin at point A and a roller at point C. A distributed load is applied to the beam. Neglect the weight and thickness of the beam. Hints: 1. will need to use similar triangles to find the height after sectioning at B. 2. Review direction of normal force, shear force and bending moment and which is positive or negative. W2 W1 A di d2 Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value W1 190 N-m W2 440 N-m di 5 m d2 5 m a. Determine the magnitude of the normal force at point B, NB. . b. Determine the magnitude of the shear force at point B, VB- c. Is the shear force VB a positive or negative shear force? d. Determine the magnitude of the bending moment at point B, MB. e. Is the bending moment MB a positive or negative bending moment? Round your final answers to 3 significant digits/figures.MA MB= Mc= MD= Required information For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V=50 lbf/in and V2 = 7 in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Hinge = 1400 lbf/ A BI AC R₂ R₁ 4 in 4 in 2 in V1 Determine the values of the moments at points A, B, C, and D. lbf.in lbf.in lbf.in Ibf.in V2 D R₂
- 700N M-150UNm 2m 3m For the above dlagram, given that F, - 450 N. 0-45 degrees and d-5 m calculate the following (neglect the depth of the beam). Note that there is a pin support at A and a roller support at B. The magnitude of the horizontal component of the reaction force at A, Rar. Please provide the answer in Newtons and report to three significant figures. Please Include the unit ("N") within your answer (eg. If the calculated answer was 55.562 Newtons please Input: 55.6 N). Answer: The magnitude of the vertical component of the reaction force at A, Rar. Please provide the answer in Newtons and report to three significant figures. Please include the unit ("N") within your answer (eg. If the calculated answer was 55.562 Newtons please Input: 55.6 N). Answer: The magnitude of the horizontal component of the reaction force at B. Re. Please provide the answer in Newtons and report to three significant figures. Please Include the unit ("N") within your answer (eg. If the calculated…For the beam stated in P3-31, compute the maximum stress due to bending and the maximum vertical shear stress if it has a solid circular section. Objective: Omax =?, Vertical Tmax =? R₁ 3 ft 1200 lb 4 ft Ap=D2/8 Q = A₂9 1200 lb 0.212D =ỹ -X D 3 ft R₂If F1= 24kN F2=26kN F3=21.5kN R1 = 37.75Nm R2= 33.75Nm calculate the max force the beam is under using the attached image
- a beam is supported by a pin support at A and a roller support at B. For this question, leave your answer in terms of the variables w and L. (a) Using equilibrium of the full beam, find the support forces at A and B. (b) First section: Make an arbitrary cut between points A and B. Take the distance of the cut to be x along the beam from point A. Draw the free-body diagram for the left section and find functions for the internal shear force, V(x), and bending moment, M(x), in the section of the beam between A and B. (c) Second section: Repeat part (b) for the section of the beam between B and C. Take x to still be the distance from point A. (f) Find the value of x at which V(x) = 0. The internal bending moment reaches a maximum at the same point as V(x) = 0. Find the maximum bending mo- ment. pin Sketch the shear and bending moment diagrams. B L W C rollerConsider the following values in the given beam above: L1=6m L2 = 2 m L3 = 4 m L4=3m L5=2 m L6=1m W1 = 90 kN/m W2 = 30 kN/m P = 50 kN M = 60 kN-m Point E is an internal hinge W1 B L2 L3 2 m E W2 L5 L6 HFind the support reactions, draw the free-body diagram of the beams that shows the reactions and the equivalent loadings of the beams. Show the computation where Mo = 10,800 kip-in, P = 1205 lb, F = 1.25 kip, Wa = 2750 lb/ft, Wb = 1.055 kip/ft, a = c = 7 ft, b = 12 ft.