A beam with a guided support and 10 ft span supports a distributed load of intensity q = 642 lb/ft over its first half (

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A Beam With A Guided Support And 10 Ft Span Supports A Distributed Load Of Intensity Q 642 Lb Ft Over Its First Half 1 (71.62 KiB) Viewed 31 times

A beam with a guided support and 10 ft span supports a distributed load of intensity q = 642 lb/ft over its first half (see figure part (a)) and a moment M = 268 lb-ft at joint B. A O S W 9 5 ft = 13897 с (a) 5 ft Mo 0.25 in. 11.5 in. (b) The beam consists of a wood member (nominal dimensions 6 in. x 12 in. and actual dimensions 5.5 in. x 11.5 in. in cross section, as shown in the figure part (b)) that is reinforced by 0.25-in.-thick steel plates on top and bottom. The moduli of elasticity for the steel and wood are E = 30 x 105 psi and Ew = 1.5 x 106 psi, respectively. (Assume that the component parts of the beams are securely bonded by adhesives or connected by fasteners. Also, be sure to use the general theory for composite beams described in the textbook.) 0.25 in. (a) Calculate the maximum bending stresses in the steel plates and in the wood member due to the applied loads. (Enter the W magnitudes in psi.) 5.5 in. X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. psi 666 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. psi (Enter your (b) If the allowable bending stress in the steel plates is as = 14,000 psi and that in the wood is aw = 900 psi, find 9 max" answer in lb/ft. Assume that the moment at B, Mo, remains at 268 lb-ft.) 25236 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. lb/ft (c) If q = 642 lb/ft and allowable stress values in part (b) apply, what is Mo, max at B? (Enter the magnitude in lb-ft.) 486 x Your response differs from the correct answer by more than 10%. Double check your calculations. lb-ft