*19. A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C, and B (see figure). The cylinders are filled with oil and are connected by a tube so that the oil pressure on each piston is the same. The pistons at A and B have diameter d, and the piston at C has diameter d2. (a) Determine the ratio of d, to di so that the largest bending moment in the beam is as small as possible. (b) Under these optimum conditions, what is the largest bending moment Mmax in the beam? (c) What is the difference in elevation between point C and the end supports? L В A C
*19. A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C, and B (see figure). The cylinders are filled with oil and are connected by a tube so that the oil pressure on each piston is the same. The pistons at A and B have diameter d, and the piston at C has diameter d2. (a) Determine the ratio of d, to di so that the largest bending moment in the beam is as small as possible. (b) Under these optimum conditions, what is the largest bending moment Mmax in the beam? (c) What is the difference in elevation between point C and the end supports? L В A C
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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