Civil Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 4 (Q.No. 39)
39.
The width b and depth d of a beam cut from a wooden cylindrical log of 100 cm diameter for maximum strength are :
b = 57.73 cm d = 81.65 cm
b = 81.65 cm d = 57.73 cm
b = 50.00 cm d = 50.00 cm
b = 40.00 cm d = 80.00 cm
b = 30.00 cm d = 60.00 cm.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
8 comments Page 1 of 1.

Pratik said:   6 years ago
d= √2/3 * D, b = D/√3.
(1)

Anand said:   7 years ago
Dia of cylinder = D.
The Width of beam = b.
The Depth of beam = d.

So, D2 = b2 + d2 --> 1.

Section modulus Z = bd2/6.
Z change with breath section.
Partial derivative of b get D2 = 3b2.

Apply eqn 1.
d/b = 2^0.5.

Manish said:   8 years ago
Explain is please.

Priya said:   8 years ago
Please explain the answer in detail.

Roy said:   8 years ago
For max strength B=D/√3 and d=D√{2/3).
(1)

Suneet said:   8 years ago
You can also compare the value of section modulus.

Kruti said:   9 years ago
How? Explain @John.

JOHN said:   10 years ago
b = D/1.732.
d = D*1.414/1.732.
(1)

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