View Policies Current Attempt in Progress For the beam shown, the magnitude of the concentrated load is P = 23 kN, the magnitude of the couple is Mg = 350 kN-m, and the beam lengths are a = 7.2 m and b = 21.6 m. (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. Use your diagrams to determine the magnitudes of the maximum shear force and the maximum bending moment. M 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. MB A В C
For the beam shown, the magnitude of the concentrated load is P = 23 kN, the magnitude of the couple is MB = 350 kN·m, and the beam lengths are a = 7.2 m and b = 21.6 m.
(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. Use your diagrams to determine the magnitudes of the maximum shear force and the maximum bending moment.
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.
Part 1
Cut a cross-section through the beam at variable distance x, where a < x < (a+b). Derive equations for the shear force V and the bending moment M for any location in this section of the beam. Use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Do this on paper.
Use your diagrams to determine the magnitude of the maximum shear force in the beam.
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