3 D 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= 3.9 kN at midspan, see figure below. L/2 Answer: 9.3333 B L/2 C If b₁ = 89 mm and b₂ = 39 mm determine: a) the modular ratio n. Enter your answer to 4 decimal places. CFRP b₁ y b2 250 mm 3 mm

3 D 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= 3.9 kN at midspan, see figure below. L/2 Answer: 9.3333 B L/2 C If b₁ = 89 mm and b₂ = 39 mm determine: a) the modular ratio n. Enter your answer to 4 decimal places. CFRP b₁ y b2 250 mm 3 mm

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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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= 3.9 kN at
midspan, see figure below.
A
L/2
Answer: 9.3333
P
B
L/2
C
If b₁ = 89 mm and b₂ = 39 mm determine:
a) the modular ratio n. Enter your answer to 4 decimal places.
N
CFRP
b₁
y
F
b2
250 mm
3 mm

g) the maximum bending stress in timber. Enter your answer in MPa to 2 decimal places.
Answer:
Check

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Step 1: Given data

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Step 2: Calculation modular ratio and the equivalent wooden beam

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Step 3: Calculation of y coordinate of equivalent wooden beam

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Step 4: Calculation of y coordinate and M.O. I. of equivalent wooden beam

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Step 5: Calculation of maximum bending stress in the timber

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