b) centroid location of the transformed section in the vertical direction. Enter your answer in mm to 1 decimal place.Hint: transform CFRP into an equivalent amount of wood. Calculate the position of the centroid relative to the bottom edge of the transformed section, i.e. centroid position is measured upward from bottom edge of section. A glue-laminated timber beam is reinforced by carbon fiber reinforced plastic (CFRP) material bonded to itsbottom surface. The cross section of the composite beam is shown in figure below. The elastic modulus of thewood is E= 12 GPa and the elastic modulus of the CFRP is 112 GPa. The simply supported beam spans L = 7 mand carries a concentrated load P=3.3 kN at midspan, see figure below.L/2If b₁ = 88 mm and b₂ = 42 mm determine:BSL/2CFRP→b₂250 mm3 mm

Modulus of elasticity of CFRP (ECFRP) = 112 GPa Modulus of elasticity of wood (Ewood) = 12…

Answered: b) centroid location of the transformed…

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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b) centroid location of the transformed section in the vertical direction. Enter your answer in mm to 1 decimal place.

Hint: transform CFRP into an equivalent amount of wood. Calculate the position of the centroid relative to the bottom edge of the transformed section, i.e. centroid position is measured upward from bottom edge of section.

A glue-laminated timber beam is reinforced by carbon fiber reinforced plastic (CFRP) material bonded to its
bottom surface. The cross section of the composite beam is shown in figure below. The elastic modulus of the
wood is E= 12 GPa and the elastic modulus of the CFRP is 112 GPa. The simply supported beam spans L = 7 m
and carries a concentrated load P=3.3 kN at midspan, see figure below.
L/2
If b₁ = 88 mm and b₂ = 42 mm determine:
B
S
L/2
CFRP
→
b₂
250 mm
3 mm

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