For the beam shown: a. Find Reactions at the Hinge and the Roller b, Sketch the Shear Force Diagram c, Sketch the Moment Diagram 450 lb Ib 100 ft A В -3 ft>* 9 ft- For a Free Body Diagram V(__) (units) M(_ (units)
Q: For the beam loaded as shown, compute the value of (area)aB-XB. 500 N 2 m 1 m 1 m wwww 400 N/m B…
A: ∑MR2=0 4R1 = 400 (3) (2.5) +500(2) R1 = 1000 N ∑MR1=0 4R2 = 400 (3) (1.5) +500(2) R2= 700 N
Q: | 6000 lb 4000 lb 2000 lb 4t 4t - 4 ft 4 ft - FIG. P4.24
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A: given; lets take reaction force at A=RAlets take reaction force at B=RBweight density=q0AB=LAC=CB=L2…
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A: L = 50 cm L1 = 17.5 cm L3 = 7.5 cm Self weight = 5 N F1 = 1.5 N F2 = 1 N F3 = 1.5 N
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A: For solution refer below images.
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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.A beam ABC is fixed at end A and supported by beam DE at point B (sec figure). Both beams have the same cross section and are made of the same material. Determine all reactions due to the load P. What is the numerically largest bending moment in cither beam?Determine the fixed-end moments (MAand MB) and fixed-end forces (R4and Rs) for a beam of length L supporting a triangular load of maximum intensity q0(see figure). Then draw the shear-force and bending-moment diagrams, labeling all critical ordinates.
- A fixed-end beam AB supports a uniform load of intensity q = 75 lb/ft acting over part of the span. Assume that EI = 300kip-ft2. Calculate the reactions at A and B. Find the maximum displacement and its location. Repeat part (a) if the distributed load is applied from A to B.A fixed-end beam AB of a length L supports a uniform load of intensity q (see figure). Beginning with the second-order differential equation of the deflection curve (the bending-moment equation), obtain the reactions, shear forces, bending moments, slopes, and deflections of the beam. Construct the shear-force and bending-moment diagrams, Labeling all critical ordinales.Find expressions for shear force V and moment M at mid-span of beam AB in terms of peak load intensity q0and beam length variables a and L Let a = 5L/b.
- A beam A BCD rests on simple supports at B and C (see figure). The beam has a slight initial curvature so that end A is 18 mm above the elevation of the supports and end D is 12 mm above. What moments Mtand M^, acting at points A and Dtrespectively, will move points A and D downward to the level of the supports? (The flexural rigidity EI of the beam is 2.5 X 106 N m2 and L = 2.5m).2. For the 20 meter beam shown, there is a roller at "A" (Ay = 52 kN; it is acting upward), and a pin joint at "B" (By=-- 17 kN; it is acting downward). (a) Draw complete shear force and bending moment diagrams. (b) If x=0 is at the left end of the beam, write equations for the shear force and bending moment, and indicate the appropriate sections. (You may use the table on the next page.) 50 KN 15 KN A 90 kN-m 2 m3 m -5 m B *4 -7 m 120 kN-m € 3 mLet a = 4 m, b = 1 m, PB = 30 kN, Pc = 40 kN, and PE = 15 KN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts PB B a Pc a PE E Calculate the reaction force Ay acting on the beam. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Final answer in kN rounded-off to 1 decimal place
- 4. For the beam shown, find the reactions at the supports and plot the shear-force and bending moment diagrams. Label the diagrams properly and provide values at all key points. y 400 lbf Hinge A B AC R₁ 4 in 4 in 2 in 40 lbf/in R2 10 in D R3 -XFor the simply supported beam subjected to the loads shown. Let a-3.00 m, b=4.00 m, PB = 30kN, and Pc = 65kN. Construct the shear-force and bending- moment diagrams on paper and use the results to answer the questions in the subsequent parts a ANSWER IN KN B PB Pc C b Calculate the reaction forces Ay acting on the beam. D xFor the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A.) Let a=2.50 m, b=4.25 m, PB = 45kN, and Pc = 90kN. 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. Answers: Ay = Dy= Mi i B Calculate the reaction forces Ay and Dy 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.) PB a PB B a Pc a Pc C kN b KN b D X D₂ X