Required information Problem 05.089 - Find the allowable load for the T cross section with the given allowable stresses in tension and compression - DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS Beams AB, BC, and CD have the cross section shown and are pin-connected at B and C. The allowable normal stress is +130 MPa in tension and -150 MPa in compression. Problem 05.089.b - Determine the corresponding maximum distance a for which the cantilever beams AB and CD are not overstressed Determine the corresponding maximum distance a for which the cantilever beams AB and CD are not overstressed. (Round the final answer to three decimal places.) The corresponding maximum distance a is [ ] m.
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The moment at the fixed end of a cantilever beam loaded at the free end is given by: M = P*a where: - P is the load, - a is the distance from the fixed end to the point where the load is applied. Substituting M into the stress formula, we get: Show more…
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A beam of T-section is supported and loaded as shown in the figure. The cross section has width $b=65 \mathrm{mm}$ height $h=75 \mathrm{mm},$ and thickness $t=13 \mathrm{mm}$ (a) Determine the maximum tensile and compressive stresses in the beam. (b) If the allowable stresses in tension and compression are $124 \mathrm{MPa}$ and $82 \mathrm{MPa}$, respectively, what is the required depth $h$ of the beam? Assume that thickness $t$ remains at $13 \mathrm{mm}$ and that flange width $b=65 \mathrm{mm}$ (c) Find the new values of loads $P$ and $q$ so that allowable tension (124 MPa) and compression (82 MPa) stresses are reached simultaneously for the beam. Use the beam cross section in part (a) (see figure) and assume that $L_{1}, L_{2}$ and $L_{3}$ are unchanged.
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