A timber [E=12GPa] beam is loaded and supported as shown. The cross section of the timber beam is b =110−mm. wide and h=280−mm deep. The beam is supported at B by a 11-mm-diameter steel [ E = 190GPa ] rod, which has no load before the distributed load is applied to the beam. After a distributed load of w=7kN/m is applied to the beam, determine: (a) the force carried by the steel rod. (b) the maximum bending stress in the timber beam. (c) the deflection of the beam at B. Assume L=18.0 m,L1=8.0 m. Treat the reaction force from the rod (1) as the redundant, leaving a simply supported beam as the released beam. Determine the deflection of the wood beam vBw at B due to the distributed load w =7kN/m. An upward deflection is positive, downward is negative.
Determine the deflection vBF1 of the wood beam due to the unknown upward force F1 the rod (1) exerts on the beam. Assume L=18.0 m. Answer: vBF1=( mm/kN)∗ F1 Attempts: unlimited Part 3 Determine the elongation δ1 of the rod (1) due to the force F1. Use positive if the rod stretches and negative if it shortens.
Use the compatibility of deflections at point B to solve for the force F1+ Answer: F1= kN. eTextbook and Media Attempts: unlimited Part 5 Draw a shear force and bending moment diagram on paper for the simply supported beam subjected to the loading w=7kN/m and the calculated force F1. Determine the maximum bending moment in the beam. Answer: Mmax= kN−m eTextbook and Media Attempts: unlimited Part 6 Determine the maximum bending stress in the wood beam.
Determine the maximum bending stress in the wood beam. Answer: σmax= MPa. eTextbook and Media Attempts: unlimited Part 7 Determine the beam deflection at B. Give answer in mm. If up, the deflection is positive, if down, negative.
A timber [E=12GPa] beam is loaded and supported as shown. The cross section of the timber beam is b =110−mm. wide and h=
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A timber [E=12GPa] beam is loaded and supported as shown. The cross section of the timber beam is b =110−mm. wide and h=
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