A beam with a guided support and 10 t span supports a distributed load of intensity a630 Ib/t over its first haf (see figure part (a)) and a moment M, 313t at joint a. 0.25 in. Mo II.5 in. 025 in. (a) 5.5 in. (b) The beam consists of a wood member (nominal dimensions 6 in. x 12 in. and actual dimensions 5.5 in. x11.5 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 10 psi and E1.5 x 10 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.) (a) Calculate the maximum bending stresses a, in the steel plates and a in the wood member due to the applied loads. (Enter the magnitudes in pai.) psi psi (b) If the allowable bending stress in the steel plates is o 14,000 psi and that in the wood is 900 psi, find (Enter your answer in bft. Assume that the moment at 8, Ma, remains at 313 Ib-ft.) (s) Ifg 630 Ib/t and allowable stress values in part (b) apply, what is M. at 87 (Enter the magnitude in Ib-ft.) Ib-ft

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A beam with a guided support and 10 ft span supports a distributed load of intensity g = 630 Ib/ft over its first half (see figure part (a)) and a moment M. = 313 Ib-ft at joint B.
y
0.25 in.
Мо
11.5 in.
В
5 ft
5 ft
0.25 in.
(a)
5.5 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 106 psi and E = 1.5 x 10° 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.)
(a) Calculate the maximum bending stresses o, in the steel plates and o, in the wood member due to the applied loads. (Enter the magnitudes in psi.)
psi
Ow =
psi
(b) If the allowable bending stress in the steel plates is o, = 14,000 psi and that in the wood is ow = 900 psi, find qmay: (Enter your answer in Ib/ft. Assume that the moment at B, M, remains at 313 Ib-ft.)
Ib/ft
(c) If q = 630 Ib/ft and allowable stress values in part (b) apply, what is Mo. max at B? (Enter the magnitude in Ib-ft.)
Ib-ft
Transcribed Image Text:A beam with a guided support and 10 ft span supports a distributed load of intensity g = 630 Ib/ft over its first half (see figure part (a)) and a moment M. = 313 Ib-ft at joint B. y 0.25 in. Мо 11.5 in. В 5 ft 5 ft 0.25 in. (a) 5.5 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 106 psi and E = 1.5 x 10° 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.) (a) Calculate the maximum bending stresses o, in the steel plates and o, in the wood member due to the applied loads. (Enter the magnitudes in psi.) psi Ow = psi (b) If the allowable bending stress in the steel plates is o, = 14,000 psi and that in the wood is ow = 900 psi, find qmay: (Enter your answer in Ib/ft. Assume that the moment at B, M, remains at 313 Ib-ft.) Ib/ft (c) If q = 630 Ib/ft and allowable stress values in part (b) apply, what is Mo. max at B? (Enter the magnitude in Ib-ft.) Ib-ft
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