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 = 6 m and carries a concentrated load P= 3.8 kN at midspan, see figure below. b₁ L/2 If b₁ = 88 mm and b₂ = 41 mm determine: P B L/2 C CFRP y b₂ f) the maximum bending moment in the beam. Enter your answer in kNm to 3 decimal places. g) the maximum bending stress in timber. Enter your answer in MPa to 2 decimal places. h) the maximum bending stress in the CFRP. Enter your answer in MPa to 2 decimal places. 250 mm 3 mm

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.3.11P: A beam is constructed of two angle sections, each L5 x 3 x 1/2, that reinforce a 2 x g (actual...
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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 = 6 m and carries a concentrated load P= 3.8 kN at midspan, see figure below.
b₁
L/2
If b₁ = 88 mm and b₂ = 41 mm determine:
B
L/2
C
CFRP
b₂
f) the maximum bending moment in the beam. Enter your answer in kNm to 3
decimal places.
g) the maximum bending stress in timber. Enter your answer in MPa to 2 decimal
places.
h) the maximum bending stress in the CFRP. Enter your answer in MPa to 2
decimal places.
250 mm
3 mm
Transcribed Image Text: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 = 6 m and carries a concentrated load P= 3.8 kN at midspan, see figure below. b₁ L/2 If b₁ = 88 mm and b₂ = 41 mm determine: B L/2 C CFRP b₂ f) the maximum bending moment in the beam. Enter your answer in kNm to 3 decimal places. g) the maximum bending stress in timber. Enter your answer in MPa to 2 decimal places. h) the maximum bending stress in the CFRP. Enter your answer in MPa to 2 decimal places. 250 mm 3 mm
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