Construct the shear and moment diagrams for the loaded beam shown. After you have the diagrams, answer the questions. W = w₁+kx² 4.4 kN/m 2.9 kN/m w A 4.6 m Questions: B At x = 1.5 m, V = i KN, M = i kN·m At x = 3.9 m, V = i KN, M = i kN·m at x The absolute value of the maximum shear force Vmax i kN. i = is The absolute value of the maximum bending moment is Mmax i at x kN.m, i
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- 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.Use 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•mUse 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.
- Draw the shear and moment diagrams for the beam shown. After you have the diagrams, answer the questions. The distance x is measured from point A to the right. 265 Ib/ft 7.9' 3.7' Questions: At x = 3.9 m, V = ! Ib, M= Ib-ft At x = 9.8, V = i Ib, M = Ib-ft %3D The maximum absolute value of the shear force: |Vmax| = i Ib The maximum absolute value of the bending moment: |Mmax| Ib-ft %3D The bending moment is zero between the supports at x = i ftUse 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 = 14 kN-m Ay = 3.54 KN Dy = 32.46 kN Units: KN Ay M 4m O 31.52 kN-m O 20.0 kN-m O 33.6 kN-m 23.2 kN-m O 26.1 kN-m B Ay 4 m 15 kN C A, 4 m A,-15 7 kN/m D 3 m 21 A₁-15 E X50 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.
- 3 For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V = 9 kN, V2 = 9 kN, V3 = 200 mm, and V4 = 1100 mm. ATAT-V3 Provide values at all key points shown in the given shear-force and bending-moment diagrams. X (mm) B A = B = C = D = E= F= P = Q = E * KN * KN * KN × KN KN x KN ✩ kN.mm *kN.mm D 0.00 Reaction force R₁ (left) = In the shear-force and bending-moment diagrams given, +V 0.00 X (mm) 6.3 kN and reaction force R2 (right) = P 11.7 kN. Q 0.00Use 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 XFor 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 XDraw the shear and moment diagrams, then anwer the questions. The distance x is measured from point A to the right. Assume w = 460 Ib/ft, a = 3.5 ft, b = 2.8 ft. B Questions: At x = 1.1 ft, V= i 253.852 Ib, M= i 372.01 Ib-ft At x = 5.4 ft, V = -298.148 Ib, M = 268.334 Ib-ftFor 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 Answers: By a = 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.) = a i B Cy i = W B b W b kips X kips X