Construct the shear and moment diagrams for the loaded beam shown. After you have the diagrams, answerthe questions.1.2 kN/mWAQuestions:Atx 1.1 m, V =W = w₁+kx²1.9 kN/m4.5 mxKN, M=ikN·mAt x = 3.7 m,V = iKN, M=The absolute value of the maximum shear Vmaxforce isThe absolute value of the maximumbending moment isMmaxiIIkN·mKNx =rKN-m,x =r

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Answered: Construct the shear and moment diagrams…

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 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. y A a A a O B₁ B 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.) W B b W b C C₂ X
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. y A a A a O B₁ B 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.) W B b W b C C₂ X
Q1: For the beams and loading shown below, A- Draw the shear force and bending-moment diagrams. .. B- Determine the equations ofthe shear force and bending-moment curves for the segments (BC in Figure 1, 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. 230 mm Figure (1) 30 mm a 6 kN/m M=72 kN.m E 150 mm 10 mm A AB D 10 mm 2m 4m 1m 1m RE 10 mm
Q1. Figure below shows a simply supported beam that has a rectangular cross section 120 mm wide and 200 mm high. a. Determine the maximum bending stress in the beam. b. Calculate the bending stress experienced by a point on section B that is 25 mm below the top of the beam. (Consider the distance of this point from the N.A when solving this part) |15KN 6 kN/m B D 0.8 m 2 m 1.0 m R = 14 kN RE = 19 kN
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 2.8 m, b = 5.6 m, c = 3.8 m, P = 20 kN, w = 45 kN/m, and Q-10 kN. A P B W b C X What is the maximum bending moment on the beam? Answer in kN-m rounded-off to 2 decimal places When entering your answers, use the bending moment sign convention. I
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Leta = 5.2 ft, w = 235 Ib/ft, Mp = 7000 lb-ft, and P = 11001b. 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. Mp Determine the bending moment acting at each of the following locations: (a) x = 5.2 ft (i.e., at point B) (b) x = 10.4 ft (i.e., at point C) (c) x = 15.6 – ft (i.e., just to the left of point D) (d) x = 15.6 + ft (i.e., just to the right of point D) (e) x = 20.8 ft (i.e., at point E) When entering your answers, 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= 2.5 m, b= 7.0 m, MB = 85 kN-m and Mc = 130 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. y MB Mc В C D Determine the shear force acting at each of the following locations: (a) x = 0+ m (i.e., just to the right of point A) (b) x = 2.5- m (i.e.,. just to the left of B) (c) x = 2.5+ m (i.e., just to the right of B) (d) x = 12.0- m (i.e. just to the left of D) When entering your answers, use the shear force sign convention. Answers: (a) V = i kN. (b) V - i kN. (c) V = i kN. (d) V = i kN.
For the problem shown below (left), W = 51 lbs while L1 = 4.4 inches and L2 = 12 inches. This results in the shear force diagram as shown on the right, where A, is the reaction force in the vertical direction at point A. Based on this shear diagram, what is the maximum moment in the portion of the horizontal beam from x = O to x = L1 in units of lb-in to two decimal places. (Be sure to use a negative sign to designate a negative moment if necessary.) A |--L1-——————— L2 Ay lb 0 -Ay lb W L1 L2 W -L1- BO L1- -X
50 kN *** w 1* 4 m 3 kN/m 5 75 kN 37° Draw the shear force diagram and the bending moment diagram for the anchor beam below.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a= 3.5 ft, b= 8.0 ft, t, c= 5.0 ft, d= 3.0 ft, w = 8.5 kips/ft and P = 54 kips. 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. P В D E b d Calculate the maximum bending moment (i.e., either positive or negative) that occurs between points B and C. When entering your answers, use the bending moment sign convention. Answers: M = i kip-ft.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a= 3.5 ft, b= 8.0 ft, t, c= 5.0 ft, d= 3.0 ft, w = 8.5 kips/ft and P = 54 kips. 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. P В D E d The shear-force diagram crosses the V = 0 axis between points B and C. Determine the location x (measured from A) where V = 0 kips. Answer: x = i ft.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a= 3.5 ft, b= 8.0 ft, t, c= 5.0 ft, d= 3.0 ft, w = 8.5 kips/ft and P = 54 kips. 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. P В D E a d 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 = 3.5 ft (c) x = 11.5 ft (d) x = 16.5- ft (i.e., just to the left of D) (e) x = 16.5+ ft (i.e., just to the right of D) (f) x = 19.5- ft (i.e., just to the left of support E) When entering your answers, use the shear force sign convention. Answers: (a) V = i kips. (b) V - i kips. (c) V= i kips. (d) V = i kips. (e) V = i kips. (f) V = i kips.

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