Note: In the second method, the uniformly distributed load between A and C will cause anticlockwisemoment about C, while the load between C and B will cause clockwise moment. But for the sake of simplicity, wehave taken the entire load from A to B (equal to 0.6 × 5) acting at its centre (i.e. 2.5 m from A or 2.5 - x) from C.EXERCISE 12.11. A simply supported beam AB of span 4 m is carrying a point loads of 5, 2 and 3 kN at 1, 2and 3 m respectively from the support A. Calculate the reactions at the supports A and B.[Ans. 5.5 kN and 4.5 kN]2. A simply supported beam of span 6 m is carrying a uniformly distributed load of 2 kN/mover a length of 3 m from the right end B. Calculate the support reactions.[Ans. R = 1.5 kN, R, = 4.5 kN]3. A simply supported beam AB of span 6 m is loaded as shown in Fig. 12.14.2 kN5 kN2 kN/m2 kN/m+1.5 m→AВE3 mD+1.5 m-6 mFig. 12.14.Determine the reactions at A and B.[Ans. 6.875 kN, 9.125 kN]226 I A Textbook of Engineering Mechanics4. A beam AB6 m long rests on two supports 4 m apart, the right hand end is overhangingby 2 m. The beam carries a uniformly distributed load of 1 kN/m over the entire lengthof the beam.Determine the reactions at the two supports.[Ans. R = 1.5 kN, R„= 4.5 kN]5. A beam ABCDEF of 7.5 m long and span 4.5 m is supported at B and E. The beam isloaded as shown in Fig. 12.15.5 kN-9 kN/m3 kN/mAB+1.5m 1.5m-E1.5 m→+1.8m4.5 mFig. 12.15.Find graphically, or otherwise, the support reactions at the two supports.[Ans. R3 = 29.33 kN, R; = 12.57 kN]6. A beam ABCDE hinged at A and supported on rollers at D, is loaded as shown in Fig. 12.16.6 kN3 kN1 kN/m30°В+ 2 m + 2 m→4 m1 mFig. 12.16.Find the reactions at A and D.[Ans. R = 5.94 kN, R, = 7.125 kN, 0 = 61°]12.14. ROLLER SUPPORTED BEAMSIn such a case, the end of a beam is supported on rollers, and the reaction on such an end isalways normal to the support, as shown in Fig. 12.17 (a) and (b). All the steel trusses, of the bridges,have one of their ends as supported on rollers.

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1. A simply supported beam AB of span 4 m is carrying a point loads of 5, 2 and 3 kN at 1, 2 and 3 m respectively from the support A. Calculate the reactions at the supports A and B. [Ans. 5.5 kN and 4.5 kN]

1. A simply supported beam AB of span 4 m is carrying a point loads of 5, 2 and 3 kN at 1, 2 and 3 m respectively from the support A. Calculate the reactions at the supports A and B. [Ans. 5.5 kN and 4.5 kN]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Problem 4.1 - Beam AB is supported by a ball-and-socket at point A and guy wires FC and ED. Find a) the components of the reaction at support A (RAX, RAY, & RAZ) and b) the forces in the guy wires (TED & TFC). 1 m D 4 r m C 3 m 2 m A E F BA 2 m 2 m 50 kg 3 m
6. Q1: For the beam Shown in Figure 1 (40 Points) 8kN/m 3kN/m 8kN/m 1. Find the reaction at support B RBy, the bending moment at B, and the bending moment at C. B- A 2. Draw the shear force and bending 3m 2m 2m 3m moment diagram for the beam. Figure 1 Q2: (30 Points) For the simply supported beam with loading and cross section shown in Figure 2, determine the following: 1. The location of the centroid measured 10 kN 10 kN 100 from the top fiber in (mm). 2. The moment of inertia about the 50 centroidal x axis (mm“) 3. The maximum compressive stress in 0.6m 0.6 m 0.6 m 30 30 60 30, (MPa) 4. The maximum shear stress at the neutral axis in (MPa) All cross-section 5. The average shear stress on the section dimensions in mm (MPа) If the allowable stress in tension, compression, and shear are 4 MPa, 18 MP, and 12 MPa respectively. is this Figure 2 beam safe?
Sketch below the free-body diagram for the beam. Do not forget that the beam also has a mass! Label all the forces (with symbols, do not use numerical values.) CM
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How to solve this question step by step
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1. Compute the total load of the beam 2. Compute the reactions R1 and R2
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PART 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=2.0 m, PB = 2 kN, PC = 2 kN, and MB = 20 kN-m. 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. IMAGE* Calculate the reaction forces Ay and MA 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.) IMAGE* PART 2 Determine the shear force acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of fixed support A)(b) x = 3.5– m (i.e., just to the left of B)(c) x = 3.5+ m (i.e., just to the right of B)(d) x = 5.5– m (i.e., just to the left of C)When entering your answers, use the shear force sign convention.Answer:(a) V = ? kN.(b) V = ? kN.(c) V = ? kN.(d) V = ? kN. PART 3…
The beam AB in the figure supports a load which varies from an intensity of 50 KN per linear meter to 200 KN per meter. 8.4 Compute the reaction at B. 200 KN/m 50 KN/m В 6 m
Determine the reactions at A and B for the loaded beamas shown in Figure