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<p><strong>Question - </strong>A simply supported rectangular concrete beam of 7 m span carries a characteristic dead load (<em>G<sub>k</sub></em>), including self-weight of the beam, and imposed load (<em>Q<sub>k</sub></em>) of 7 kNm and 5 kNm respectively.</p>
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<p>The beam dimensions are breadth <em>b</em> = 225 mm and effective depth <em>d</em> = 400 mm.</p>
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<p>Assume <em>f<sub>cu</sub></em> = 30 N/mm<sup>2</sup> and <em>f<sub>y</sub></em> = 460 N/mm<sup>2</sup>.</p>
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<p>Calculate the area of reinforcement required.</p>
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<p><strong>Answer:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</strong> <strong>Given &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <em>b</em> = 225 mm, &nbsp; <em>d</em> = 400 mm, &nbsp; <em>l</em> = 7.00 m, &nbsp;</strong></p>
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<p><strong><em>G<sub>k</sub></em></strong><strong> = 7.00 kNm, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <em>Q<sub>k</sub></em> = 5.00 kNm,</strong></p>
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<p><strong><em>f<sub>cu</sub></em> = 30 N/mm<sup>2</sup></strong>,          <strong><em>f<sub>y</sub></em> = 460 N/mm<sup>2</sup>.</strong></p>
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<p>Ultimate load (<em>w</em>)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 1.4<em>G<sub>k</sub></em> + 1.6 <em>Q<sub>k</sub></em></p>
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<p>                                                   =          (1.4 x 7.00) + (1.6 x 5.00) kN/m</p>
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<p>                                                   =          17.80 kN/m</p>
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<figure class="wp-block-image size-large"><img src="https://civilengineeringlectures.com/wp-content/uploads/2021/01/29-2.png" alt="" class="wp-image-1417"/></figure>
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<figure class="wp-block-image size-large"><img src="https://civilengineeringlectures.com/wp-content/uploads/2021/01/29-3.png" alt="" class="wp-image-1418"/></figure>
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<figure class="wp-block-image size-large"><img src="https://civilengineeringlectures.com/wp-content/uploads/2021/01/29-4.png" alt="" class="wp-image-1419"/></figure>
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<figure class="wp-block-image size-large"><img src="https://civilengineeringlectures.com/wp-content/uploads/2021/01/29-5.png" alt="" class="wp-image-1420"/></figure>
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<figure class="wp-block-image size-large"><img src="https://civilengineeringlectures.com/wp-content/uploads/2021/01/29-6.png" alt="" class="wp-image-1421"/></figure>
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<p>Cross-sectional area of 01 no. 16 mm diameter bar = 201 mm<sup>2</sup></p>
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<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;<strong>Provide 4 nos. of 16 mm diameter bars resulting 804 mm<sup>2</sup>.</strong><strong></strong></p>
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<p><strong><em>Note: </em></strong><em>However, there are other limitations before considering the size and spacing of bars. Those factors will be discussed in another example.</em><em></em></p>
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