For problem 3, draw the free body diagram, the shear force diagram, and the mome

Question

For problem 3, draw the free body diagram, the shear force diagram, and the moment diagram (properly aligned) for each beam shown. For the shear force and moment diagrams, use cut sections to determine the shear and moment throughout the beam as functions of x (i.e., write the equations for internal shear force and internal moment as functions of distance x along the length of the beam). Clearly indicate the functions themselves (i.e., the equations), draw the diagrams to scale, and indicate the local maximum and minimum values of shear force and bending moment on the diagrams.

Explanation / Answer

Solution 1.2-1 Circularpost in compression 1 Tension,Compression,and Shear 1 A BC P 1 d AB d BC P 2 P 1 ? 2500lb d AB ? 1.25in. d BC ? 2.25in.(a) N ORMALSTRESSINPART AB (b) L OAD P 2 FOREQUALSTRESSES ? ? AB ? 2040psiSolve for P 2 : P 2 ? 5600lb s BC ? P 1 ? P 2 A BC ? 2500 lb ? P 2 ? 4 (2.25 in.) 2 s AB ? P 1 A AB ? 2500 lb ? 4 (1.25 in.) 2 ? 2040 psiA LTERNATE S OLUTIONFOR P ART (b) ? P 2 ? 2.24 P 1 ? 5600 lb d BC d AB ? 1.8 P 1 ? P 2 d BC 2 ? P 1 d AB 2 or P 2 ? P 1 B ¢ d BC d AB = 2 ? 1 R s AB ? P 1 A AB ? P 1 ? 4 d AB 2 ? s BC ? s AB s BC ? P 1 ? P 2 A BC ? P 1 ? P 2 ? 4 d BC 2 A BC P 1 P 2

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