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EXAM PREPARATION

Objective Question & Answer

QUESTION

Objective Question

Q.1

If the depth of actual neutral axis of a doubly reinforced beam.

यदि किसी डबली रीइन्फोर्स्ड बीम (doubly reinforced beam) में वास्तविक न्यूट्रल एक्सिस (actual neutral axis) की गहराई:

A

Is smaller than the depth of critical neutral axis, the concrete attains its maximum stress earlier.

यदि यह क्रिटिकल न्यूट्रल एक्सिस की गहराई से कम है, तो कंक्रीट पहले ही अपने अधिकतम प्रतिबल (स्ट्रेस) तक पहुँच जाता है।

B

Is more than the depth of critical neutral axis, the steel in the tensile zone attains its maximum stress earlier.

यदि गहराई क्रिटिकल न्यूट्रल एक्सिस की गहराई से अधिक है, तो टेन्साइल ज़ोन में मौजूद स्टील जल्दी ही अपने अधिकतम स्ट्रेस तक पहुँच जाता है।

C

Is equal to the depth of critical neutral axis, the concrete and steel attain their maximum stresses simultaneously.

क्रिटिकल न्यूट्रल एक्सिस की गहराई के बराबर है, तो कंक्रीट और स्टील दोनों एक साथ अपने अधिकतम स्ट्रेस तक पहुँचते हैं।

D

All option are correct.

सभी विकल्प सही हैं।

Answer ( Option C)

Is equal to the depth of critical neutral axis, the concrete and steel attain their maximum stresses simultaneously.

क्रिटिकल न्यूट्रल एक्सिस की गहराई के बराबर है, तो कंक्रीट और स्टील दोनों एक साथ अपने अधिकतम स्ट्रेस तक पहुँचते हैं।

Solution

Let, 'x' be the depth of actual neutral axis xu' be the depth of critical neutral axis,

Then,

If x > xu' the concrete attains its maximum stress earlier which means that tension steel does not yield upto ultimate

strength and the section will be over reinforced which results in compressive failure, brittle failure, primary compression

failure.

If x < xu the steel in the tensile zone attains its maximum stress earlier which means that tension steel yields upto

ultimate strength and the section will be under reinforced which results in tensile failure (ductile failure) secondary

compression failure.

If x = Xu , the concrete and steel attain their maximum stresses simultaneously which means that simultaneous

attainment of limiting compressive strain of 0.0035 in concrete and the minimum specified tensile strain to ensure

yielding of steel and the section will be balanced section.

Note:

Failure always occurs due to crushing of concrete on compression face.

Under reinforced concrete flexural members are deeper and undergo larger deflection than balanced and over

reinforced member.

Over-reinforced and balanced concrete flexural member are stiffer than under reinforced member.

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