A simply supported composite beam 2 m long carries a uniformly distributed load of intensity q = 2.3 kN/m (see figure). q=2.3 kN/m 2 m s (a) Find the maximum bending stresses (Enter the magnitudes.) 0 100 mm The beam is constructed of a wood member, 100 mm wide by 150 mm deep, and is reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. (Assume that the component parts of the beam are securely bonded by adhesives or connected by fasteners. Also, be sure to use the general theory for composite beams described in the section titled 'Composite Beams.") and a, (in MPa) in the wood and steel, respectively, due to the uniform load if the moduli of elasticity are E = 10 GPa for the wood and E₂ = 210 GPa for the steel. 1.7377777777 ✓ MPa 12.8119 ✓ MPa 150 mm 8 mm (b) Find the required thickness (in mm) of the steel plate so that the steel plate and wood reach their allowable stress values, as = 100 MPa and aw = 8.3 MPa, simultaneously under the maximum moment. 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. mm

Elements Of Electromagnetics
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A simply supported composite beam 2 m long carries a uniformly distributed load of intensity q = 2.3 kN/m (see figure).
q= 2.3 kN/m
2 m
ow = 1.7377777777 ✔ MPa
12.8119
MPa
The beam is constructed of a wood member, 100 mm wide by 150 mm deep, and is reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. (Assume that the component parts of the beam are
securely bonded by adhesives or connected by fasteners. Also, be sure to use the general theory for composite beams described in the section titled 'Composite Beams.')
Need Help?
100 mm
(a) Find the maximum bending stresses ow and a (in MPa) in the wood and steel, respectively, due to the uniform load if the moduli of elasticity are E = 10 GPa for the wood and E = 210 GPa for the steel.
(Enter the magnitudes.)
150 mm
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8
mm
(b) Find the required thickness (in mm) of the steel plate so that the steel plate and wood reach their allowable stress values, as = 100 MPa and aw = 8.3 MPa, simultaneously under the maximum moment.
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. mm
Watch It
Transcribed Image Text:A simply supported composite beam 2 m long carries a uniformly distributed load of intensity q = 2.3 kN/m (see figure). q= 2.3 kN/m 2 m ow = 1.7377777777 ✔ MPa 12.8119 MPa The beam is constructed of a wood member, 100 mm wide by 150 mm deep, and is reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. (Assume that the component parts of the beam are securely bonded by adhesives or connected by fasteners. Also, be sure to use the general theory for composite beams described in the section titled 'Composite Beams.') Need Help? 100 mm (a) Find the maximum bending stresses ow and a (in MPa) in the wood and steel, respectively, due to the uniform load if the moduli of elasticity are E = 10 GPa for the wood and E = 210 GPa for the steel. (Enter the magnitudes.) 150 mm Read It 8 mm (b) Find the required thickness (in mm) of the steel plate so that the steel plate and wood reach their allowable stress values, as = 100 MPa and aw = 8.3 MPa, simultaneously under the maximum moment. 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. mm Watch It
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