Problem 1: ( )Draw the shear force (V) and bending moment (M) diagrams for the beam AG below with the following order: • Draw the necessary FBD and find the support reactions. On the shear and moment diagrams, show all critical points, and give their locations and magnitudes. Indicate the order of all curves (for example 1t degree, 2nd degree, 3rd degree). Note: You don't have to find the equations defining the shear and moment diagrams unless necessary. 30 kN 20 kN 4 kN/m 10 kNm D A F B hinge G 2 m 5 m 2 m 2 m 2 m 2 m

Problem 1: ( )Draw the shear force (V) and bending moment (M) diagrams for the beam AG below with the following order: • Draw the necessary FBD and find the support reactions. On the shear and moment diagrams, show all critical points, and give their locations and magnitudes. Indicate the order of all curves (for example 1t degree, 2nd degree, 3rd degree). Note: You don't have to find the equations defining the shear and moment diagrams unless necessary. 30 kN 20 kN 4 kN/m 10 kNm D A F B hinge G 2 m 5 m 2 m 2 m 2 m 2 m

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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For the loaded beam shown in Figure below : 2.1.Determine the reaction forces at the points of support of the beam in Figure Q2 above by applying the principle of equilibrium of moments and start your solution by drawing free body diagram of the beam. 2.2. Develop the equations for shear force and bending moment for the spans AB, BC and CD of the loaded beam shown above and for each equation developed, determine the values of shear forces and bending moment at the points A, B, C and D 2.3. Draw the shear force and bending moment diagrams for the loaded beam shown above.
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 roller
Q/ For the beams and loading shown below. A-Draw the shear force and bending-moment diagrams. B- Determine the equations of the shear force and bending-moment curves for the segments CD in Figure 2 C- Compute the bending stress at point (a) on section C. D- Determine the values and locations of the maximum tensile and compression bending stresses. Figure (2) R Point a Radius of hole: 40kN 0.5m 30 20KN/m 0.7m A B D |B 1m Im 3m Radius = R= 100 mm
SHEAR AND MOMENT DIAGRAM PROBLEM 2 Use the AREA method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 6.9 ft, b = 10.4 ft, c = 5.8 ft, and w = 9.5 kips/ft. Label all significant points on each diagram and identify the maximum moments (both positive and negative) along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams. Determine the maximum shear force and bending moment in the beam. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. The roller at point D indicates that motion is restricted both up and down, and the beam will not lift off the roller. a B W b C D X
Part 1 For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=11.5 ft, b-5.0 ft, c= 8.0 ft, w = 7 kips/ft and M = 250 kip-ft. 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. A Answers: Ay = Calculate the reaction forces Ay and C, 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.) Cy= Part 2 Answers: (a) V= (c) V= (b) V- i i (e) V- (d) V- i Part 3 (a) M- i Determine the shear force acting at each of the following locations: (a)x=0+ ft (i.e., just to the right of support A) (b) x 11.5 ft (i.e., at point B) (c) x 16.5-ft (i.e., just to the left of the support C) (d) x = 16.5+ ft (i.e., just to…
(a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A.) (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Specify the values for key points on the diagrams. Wo A L
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For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=14.0 ft, b=3.0 ft, c= 7.0 ft, w = 9 kips/ft and M = 300 kip-ft. 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= Cy= b Calculate the reaction forces Ay and Cy 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.) i W i a W M a B M B ес b kips kips с Cy с X с -X
For the beam shown, derive the expressions for V and M, and draw the shear force and bending moment diagrams. Calculate the shear force V and bending moment M at a cross section located 0.5 m from the fixed support. Neglect the weight of the beam. (Show complete calculation and step by step process. Show free body diagram)
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