Civil Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 4 (Q.No. 3)
3.
A short masonry pillar is 60 cm x 60 cm in cross-section, the core of the pillar is a square whose side is
17.32 cm
14.14 cm
20.00 cm
22.36 cm
25.22 cm.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
15 comments Page 1 of 2.

Ankit said:   1 decade ago
Please explain this answer.

Fogg said:   9 years ago
Can anyone explain this?

Ranjan patra said:   9 years ago
Side = qrt over of sq 10 + sq10 = 14.44.

Prateek said:   9 years ago
@Ranjan Patra.

Where the 10 comes from?

Anonymous said:   9 years ago
Side dimension is 60.
So, the distance from center within which if load is applied than column does not go under the tension i.e. b/6 = 60/6 = 10, which give the value 10.

As per right angle tringle, you get the side of core that is 14.14.
(1)

Fgf said:   9 years ago
Can you please explain it step by step?

Yogesh said:   9 years ago
For a rectangular column, kernel core is a rhombus with diagonals B/3 & D/3 resp.

In the above Question, dimensions of the core are asked in terms of SIDE.

So, to apply Pythagoras theorem, we must consider a quarter of the rhombus, i.e., a triangle which has the sides B/6 & D/6

So, the side of the rhombus = hypotenuse of the triangle = sq root (10^2 + 10^2) = sq root(200) = 14.14
(1)

Umesh said:   9 years ago
Thanks @Yogesh.
(1)

Neel said:   7 years ago
The shape of the core for the square column is square, not a rhombus.
so, ans is b/6 i.e. 60/3=20.
(2)

Gopal said:   7 years ago
Kern of a square section is also a square so the sides are b/3 & b/3 hence the answer should be 60/3= 20.

If it is a rectangle of 60x60 then the above-given approach is correct.
(1)


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