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 150 mm 250 mm and two brass plates of cross-sectional dimensions 30 mm 150 mm. (a) Determine the maximum stresses B and w in the brass and wood, respectively, if the moduli of elasticity are EB 96 GPa and Ew 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, saB 70 MPa and saw 8.5 MPa, simultaneously under the maximum moment. What is the maximum moment? Problem 6.3-4 The composite beam shown in the figure is simplysupported and carries a total uniform load of 40 kN/m on a spanlength of 4.0 m. The beam is built of a southern pine wood memberhaving cross-sectional dimensions 150 mm × 250 mm and twobrass plates of cross-sectional dimensions 30 mm X 150 mm.y40 kN/m50 mm250 mm(a) Determine the maximum stresses og and o, in the brass andwood, respectively, if the moduli of elasticity are Egand E, = 14 GPa. (Disregard the weight of the beam.)(b) Find the required thickness of the brass plates so that the plateand wood reach their allowable stress values, oaB= 96 GPa4.0 m50 mm150 mm70 MPаand oaw = 8.5 MPa, simultaneously under the maximummoment. What is the maximum moment?

In composite beam, bending strain diagram is linear and strain compatibility conditions is used to…

Answered: The composite beam shown in the figure…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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 150 mm 250 mm and two brass plates of cross-sectional dimensions 30 mm 150 mm. (a) Determine the maximum stresses B and w in the brass and wood, respectively, if the moduli of elasticity are EB 96 GPa and Ew 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, saB 70 MPa and saw 8.5 MPa, simultaneously under the maximum moment. What is the maximum moment?

Problem 6.3-4 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 150 mm × 250 mm and two
brass plates of cross-sectional dimensions 30 mm X 150 mm.
y
40 kN/m
50 mm
250 mm
(a) Determine the maximum stresses og and o, in the brass and
wood, respectively, if the moduli of elasticity are Eg
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, oaB
= 96 GPa
4.0 m
50 mm
150 mm
70 MPа
and oaw = 8.5 MPa, simultaneously under the maximum
moment. What is the maximum moment?

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