Question

A rectangular column of size 400mm x 400mm is loaded with pu = 1200kn and mux = 50knm. For using interaction curve of column, the non-dimensional form of load and moment will be(m20 grade of concrete) select one:
a. 0.469 and 0.039 respectively
b. 0.375 and 0.039 respectively
c. 0.469 and 0.049 respectively
d. 0.375 and 0.049 respectively

Answer 1

Answer:

400×400=160000

Explanation:

the answer I don't know but I answered

Answer 2

Answer:

Option B) 0.375 and 0.039 respectively, is the right answer.

Explanation:

A non-dimension amount is one to which no physical dimension has been ascribed and which has a corresponding SI unit of measurement of one (or 1) but is not explicitly displayed. It is also referred to as a naked, pure, or scalar quantity.

Given,

rectangular column of size = 400 mm x 400 mm

pu = 1200 kn

mux = 50 knm

the grade of the concrete is m20

We know that,$\frac{pu}{f_{ck} bD^{2} } = \frac{1200 X 10^{3} }{20 X 400 X 450}$

                                 = 1200000 / 3600000

                                 = 0.375

We also know that, $\frac{M_{u}}{f_{ck} bD^{2} } = \frac{50X 10^{6} }{20 X 400 X 450 ^{2}}$

                                = 500/ 16200

                                = 0.039

Hence, the answer is 0.375 and 0.039 respectively

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