6.3-6 The composite beam shown in the figure is simply supported and carries a total uniform load of 40 kN/m on a span length of 4.0 m. The beam is built of a southern pine wood member having cross-sectional dimensions of 150 mm × 250 mm and two brass plates of cross-sectional dimensions 30 mm × 150 mm. (a) Determine the maximum stresses og and o, in the brass and wood, respectively, if the moduli of elasticity are Eg = 96 GPa and E = 14 GPa. (Disregard the weight of the beam.) (b) Find the required thickness of the brass plates so that the plate and wood reach their allowable stress values of oB = 70 MPa and Oaw = 8.5 MPa simultaneously under the maxi- mum moment. What is the maximum moment? 40 kN/m 30 mm 250 mm 4.0 m 30 mm 150 mm PROBLEM 6.3-6
6.3-6 The composite beam shown in the figure is simply supported and carries a total uniform load of 40 kN/m on a span length of 4.0 m. The beam is built of a southern pine wood member having cross-sectional dimensions of 150 mm × 250 mm and two brass plates of cross-sectional dimensions 30 mm × 150 mm. (a) Determine the maximum stresses og and o, in the brass and wood, respectively, if the moduli of elasticity are Eg = 96 GPa and E = 14 GPa. (Disregard the weight of the beam.) (b) Find the required thickness of the brass plates so that the plate and wood reach their allowable stress values of oB = 70 MPa and Oaw = 8.5 MPa simultaneously under the maxi- mum moment. What is the maximum moment? 40 kN/m 30 mm 250 mm 4.0 m 30 mm 150 mm PROBLEM 6.3-6
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![6.3-6 The composite beam shown in the figure is
simply supported and carries a total uniform load of
40 kN/m on a span length of 4.0 m. The beam is built of
a southern pine wood member having cross-sectional
dimensions of 150 mm × 250 mm and two brass plates
of cross-sectional dimensions 30 mm × 150 mm.
(a) Determine the maximum stresses og and o, in
the brass and wood, respectively, if the moduli of
elasticity are Eg = 96 GPa and E = 14 GPa.
(Disregard the weight of the beam.)
(b) Find the required thickness of the brass
plates so that the plate and wood reach their
allowable stress values of oB = 70 MPa and
Oaw = 8.5 MPa simultaneously under the maxi-
mum moment. What is the maximum moment?
40 kN/m
30 mm
250 mm
4.0 m
30 mm
150 mm
PROBLEM 6.3-6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbfe1bde-0ba5-470a-be27-bf3b109052b3%2F9d2c073a-c3e9-460c-9255-3fce7b3764d0%2Fs416odn_processed.png&w=3840&q=75)
Transcribed Image Text:6.3-6 The composite beam shown in the figure is
simply supported and carries a total uniform load of
40 kN/m on a span length of 4.0 m. The beam is built of
a southern pine wood member having cross-sectional
dimensions of 150 mm × 250 mm and two brass plates
of cross-sectional dimensions 30 mm × 150 mm.
(a) Determine the maximum stresses og and o, in
the brass and wood, respectively, if the moduli of
elasticity are Eg = 96 GPa and E = 14 GPa.
(Disregard the weight of the beam.)
(b) Find the required thickness of the brass
plates so that the plate and wood reach their
allowable stress values of oB = 70 MPa and
Oaw = 8.5 MPa simultaneously under the maxi-
mum moment. What is the maximum moment?
40 kN/m
30 mm
250 mm
4.0 m
30 mm
150 mm
PROBLEM 6.3-6
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