Determine the shear and moment as functions of x, and then draw the shear and moment diagram for the beam. Use the Equilibrium Method to establish the equations that describe the shear and moment diagrams. 15 kN/m A 30 kN/m 4.5 m 1.5 m B
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Q: 3. Draw the shear and moment diagrams for the beam. 7 kN 12 kN·m -2 m- -2 m 4 m B
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- 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.Determine the bending moment M in the beam at the point located 1.32 m to the left of point C. The ground reactions and shear-force diagram are shown. 2.0 kN/m 5.0 kN/m 3m 5m 4.70 kN 14.30 kN 10.70 6.00 OxS.14 -14.30 O 13.34 kN-m O 18.53 kN-m O 9.14 kN-m O 14.52 kN-m O 12.14 kN-mUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 3.8 m, b = 7.6 m, c = 5.1 m, P = 11 kN, w = 41 kN/m, and Q = 29 kN. Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Additionally: (a) Determine V and M in the beam at a point located 0.50 m to the right of B. (b) Determine V and M in the beam at a point located 1.15 m to the left of C. 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 presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. В a b Answer: Vmax kN Mmax kN•m (a) Vx1= kN Mx1 = kN•m (b) Vx2 = kN Mx2 = kN•m
- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 2.2 m, b = 4.4 m, c = 3 m, P = 16 kN, w = 34 kN/m, and Q = 26 kN. Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Additionally:(a) Determine V and M in the beam at a point located 0.65 m to the right of B.(b) Determine V and M in the beam at a point located 1.40 m to the left of C.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 presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.Determine the bending moment M in the beam at the point located L = 3.45 m to the left of point C. The ground reactions and shear- force diagram are shown. 40.0 kN 7.0 kN/m A B 3 m 12 m 65.60 kN 58.40 kN 65.60 65.60 25,60 @x=6.66 m -58.40 O 170.9 kN-m O 118.8 kN-m O 129.1 kN-m O 222.0 kN-m O 159.8 kN-m Units: kNUse 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 bending-moment diagram and identify the magnitude of the largest moment (consider both positive and negative). The ground reactions and the shear-force diagram are provided. M = 13 kN-m Ay = 3.46 KN Dy Units: KN = 32.54 kN M 4 m 29.5 kN-m 43.3 kN-m 25.8 kN-m O 22.9 kN-m 31.48 kN-m B Ay 4 m 15 kN C Ay 4 m Ay-15 7 kN/m D 3 m 21 Ay-15 E XUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams 20 KN 60 KN/m 20 KN/m 2m 2m 3mDetermine the bending moment M in the beam at the point located 0.70 m to the left of point D. The ground reactions and shear-force diagram are shown. 16.80 KN 16.80 Units: KN 2 m 22.01 kN-m 37.70 kN-m 27.44 kN-m 19.82 kN-m 24.98 kN-m 14.0 kN 16.80 2.80 2 m 42.0 KN 2.80 1m D 39.20 KN -39.20 -39.20
- Determine the shear force V in the beam at the point located 4.50 m to the left of point C. The ground reactions and shear-force diagram are shown. 65.60 kN Units: KN 40.0 KN 3 m B 65.60 65.60 25,60 -31.0 KN -26.9 KN -34.9 KN -28.4 KN O -17.3 kN 7.0 kN/m 12 m @x=6.66 m 58.40 KN -58.40Draw the shear and moment diagram of the overhanging beam shown below. For this part, please show the necessary solutions using the long method, not the area moment method. Each correct line/curve with degrees equates to 1 pt. 4 kN/m В. 3 m 3 mFor 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