A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q 3.0 kN/m (see figure). The beam is constructed of a wood member, 100 mm wide by 150 mm deep, reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. (a) Find the maximum bending stresses sw and ss in the wood and steel, respectively, due to the uniform load if the moduli of elasticity are Ew 10 GPa for the wood and Es 210 GPa for the steel. (b) Find the required thickness of the steel plate so that the steel plate and wood reach their allowable stress values, sas 100 MPa and saw 8.5 MPa, simultaneously under the maximum moment.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q 3.0 kN/m (see figure). The beam is constructed of a wood member, 100 mm wide by 150 mm deep, reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. (a) Find the maximum bending stresses sw and ss in the wood and steel, respectively, due to the uniform load if the moduli of elasticity are Ew 10 GPa for the wood and Es 210 GPa for the steel. (b) Find the required thickness of the steel plate so that the steel plate and wood reach their allowable stress values, sas 100 MPa and saw 8.5 MPa, simultaneously under the maximum moment.

Problem 6.2-10 A simply supported composite beam
3 m long carries a uniformly distributed load of intensity
q = 3.0 kN/m (see figure). The beam is constructed of a wood
member, 100 mm wide by 150 mm deep, reinforced on its
lower side by a steel plate 8 mm thick and 100 mm wide.
| y
q = 3.0 kN/m
150 mm
(a) Find the maximum bending stresses ow
wood and steel, respectively, due to the uniform load if
the moduli of elasticity are E, = 10 GPa for the wood
and Es
(b) Find the required thickness of the steel plate so that the
steel plate and wood reach their allowable stress values,
Oas = 100 MPa and oaw = 8.5 MPa, simultaneously
under the maximum moment.
and
in the
8
mm
= 210 GPa for the steel.
3 m
100 mm
Transcribed Image Text:Problem 6.2-10 A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q = 3.0 kN/m (see figure). The beam is constructed of a wood member, 100 mm wide by 150 mm deep, reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. | y q = 3.0 kN/m 150 mm (a) Find the maximum bending stresses ow wood and steel, respectively, due to the uniform load if the moduli of elasticity are E, = 10 GPa for the wood and Es (b) Find the required thickness of the steel plate so that the steel plate and wood reach their allowable stress values, Oas = 100 MPa and oaw = 8.5 MPa, simultaneously under the maximum moment. and in the 8 mm = 210 GPa for the steel. 3 m 100 mm
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