For the following beams, draw the simplified free-body diagram and below it the shear and bending moment diagrams. Let the analysis be from left to right. Determine the points of zero shear (if any), their distance from point A, and the bending moments at these points. Indicate the value of all the points, the degree of all curves, and the maximum shear and a maximum bending moment of the beam. PROBLEM 1: Use the method of sections. Beam ABCD has a hanger connected at B and is supported by a roller at A and a pin at C. 100 N L1 M L2 A 3 m B 3 m 1.5 m Parameters L1 = 206 N/m L2 = 30 N/m L3=214 N/m L4 = 89 N/m M = 89 N-m Provide a summary of the equations in the following format. Simplified Equation Exploratory Distance x= x= Shear (N) 2.5 m L4 D L3 Bending Moment (N-m)

For the following beams, draw the simplified free-body diagram and below it the shear and bending moment diagrams. Let the analysis be from left to right. Determine the points of zero shear (if any), their distance from point A, and the bending moments at these points. Indicate the value of all the points, the degree of all curves, and the maximum shear and a maximum bending moment of the beam. PROBLEM 1: Use the method of sections. Beam ABCD has a hanger connected at B and is supported by a roller at A and a pin at C. 100 N L1 M L2 A 3 m B 3 m 1.5 m Parameters L1 = 206 N/m L2 = 30 N/m L3=214 N/m L4 = 89 N/m M = 89 N-m Provide a summary of the equations in the following format. Simplified Equation Exploratory Distance x= x= Shear (N) 2.5 m L4 D L3 Bending Moment (N-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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Part 1 For 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-10.5 ft, b-24.0 ft, P- 20 kips and w - 5.5 kips/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. 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 A, - 0, it has been omitted from the free-body diagram.) Answers: kips Cy- kips Part 2 Determine the shear force acting at each of the following locations: (a) x = 10.5-ft (i.e., just to the left of point B) (b) x = 10.5+ ft (i.e., just to the right of point B) (c) x = 32.5 ft Note that x-0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.…
QUESTION 3 If the allowable bending stresses for a beam in one application is 6 kip/in2 in tension. The cross-section of the beam is W8 x 40. If the beam is 10 foot long and simply supported and has a concentrated load applied at x = 3 ft as shown below. • Generate the shear force and bending moment diagram in terms of P; • Based on the allowable maximum bending moment you just obtained above, calculate/ input the mazimm allowable value of the load P: please, pay attention to units, and calculate your answer to 1 decimal place.. 3 ft 7 ft kip.
Draw shear force and bending moment diagram for the following beam
Shear and bending moment diagram for the following beam
For the beam shown,(1) derive equations for the shear force and the bending moment for any location in the beam. (Place the origin at point A.)(2) 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. Let , , , and . Derive the equations and construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 12 kips/ft.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.)Answers: Ay = kips, Cy = kips.
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 w=20.0 kips/ft, a=6.0 ft, and b=20.5 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: By= Calculate the reaction forces By 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 Bx = 0, it has been omitted from the free-body diagram.) Cy= Answers: (a) V= (b) V= 351 183.54 (d) V= -120 222.561 (c) V= i -360 B Determine the shear force acting at each of the following locations: (a) x = 6.0-ft (i.e., just to the left of support B) (b) x = 6.0+ ft (i.e., just to the right of support B) (c) x = 25.5 ft (d) x = 26.5-ft (i.e., just to the left of support C) Note that x = 0 at point A.…
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 w = 20.0 kips/ft, a=6.0 ft, and b=20.5 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 A B a W Calculate the reaction forces By 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 Bx = O, it has been omitted from the free-body diagram.) B b b X C X
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 12 kips/ft.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.)Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention.Answer: Mmax = Enter your answer in accordance to the question statement kip-ft. Save for Later
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-9 ft, b-6 ft and w=10.5 kips/ft. 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 A, -0, it has been omitted from the free-body diagram.) Answer: (a) Vi (b) V = i (c) V- a Answers: A, kips, Cy Determine the shear force acting at each of the following locations: (a) x = 0+ ft (i..., just to the right of support A) (b) x-9 ft (c)x=13ft When entering your answers, use the shear force sign convention. kips. kips. kips. b (a) M- (b) M- (c) M-i С Cy The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips. Answer:x-i ft. kip-ft. kip-ft. kip-ft. kips. Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention.…
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 12 kips/ft.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.) The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips.Answer: x = Enter your answer in accordance to the question statement ft.
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