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Calculation 1

The document outlines equations used to calculate dead and live loads for various structural components, including slabs, beams, and walls. It provides specific formulas for calculating self-weight, wall weight, and total dead load based on concrete unit weight and dimensions. Additionally, it includes examples of calculations for different structural sections with corresponding results.

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cj.acaba15
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13 views6 pages

Calculation 1

The document outlines equations used to calculate dead and live loads for various structural components, including slabs, beams, and walls. It provides specific formulas for calculating self-weight, wall weight, and total dead load based on concrete unit weight and dimensions. Additionally, it includes examples of calculations for different structural sections with corresponding results.

Uploaded by

cj.acaba15
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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EQUATIONS USED:

FOR DEAD LOAD:


𝑆𝑒𝑙𝑓 𝑤𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑠𝑙𝑎𝑏 = 𝑐𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝑢𝑛𝑖𝑡 𝑤𝑒𝑖𝑔ℎ𝑡 × 𝑠𝑙𝑎𝑏 𝑡ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠
𝑊𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑤𝑎𝑙𝑙 𝑟𝑢𝑛𝑛𝑖𝑛𝑔 𝑎𝑙𝑜𝑛𝑔 𝑡ℎ𝑒 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑏𝑒𝑎𝑚 =
𝑐𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝑢𝑛𝑖𝑡 𝑤𝑒𝑖𝑔ℎ𝑡 × 𝑐𝑟𝑜𝑠𝑠 − 𝑠𝑒𝑐𝑡𝑖𝑜𝑛 𝑜𝑓 𝑡ℎ𝑒 𝑤𝑎𝑙𝑙
𝑊𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑏𝑒𝑎𝑚 = 𝑐𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝑢𝑛𝑖𝑡 𝑤𝑒𝑖𝑔ℎ𝑡 × 𝑐𝑟𝑜𝑠𝑠 − 𝑠𝑒𝑐𝑡𝑖𝑜𝑛
𝑊𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑓𝑖𝑛𝑖𝑠ℎ = 𝑡ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠 × 𝑚𝑖𝑛𝑖𝑚𝑢𝑚 𝑑𝑒𝑠𝑖𝑔𝑛 𝑑𝑒𝑎𝑑 𝑙𝑜𝑎𝑑 (𝑁𝑆𝐶𝑃)
𝑘𝑁 𝑡𝑟𝑖𝑏𝑢𝑡𝑎𝑟𝑦 𝑎𝑟𝑒𝑎
𝑇𝑜𝑡𝑎𝑙 𝐷𝑒𝑎𝑑 𝐿𝑜𝑎𝑑 = (𝑠𝑢𝑚 𝑜𝑓 𝑎𝑙𝑙 𝑑𝑒𝑎𝑑 𝑙𝑜𝑎𝑑𝑠 𝑖𝑛 × )+
𝑚2 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑏𝑒𝑎𝑚
𝑘𝑁
(𝑠𝑢𝑚 𝑜𝑓 𝑎𝑙𝑙 𝑑𝑒𝑎𝑑 𝑙𝑜𝑎𝑑𝑠 𝑖𝑛 )
𝑚
FOR LIVE LOAD:
𝑡𝑟𝑖𝑏𝑢𝑡𝑎𝑟𝑦 𝑎𝑟𝑒𝑎
𝐹𝑙𝑜𝑜𝑟 𝐿𝑖𝑣𝑒 𝐿𝑜𝑎𝑑 = 𝑙𝑖𝑣𝑒 𝑙𝑜𝑎𝑑 𝑖𝑛𝑡𝑒𝑛𝑠𝑖𝑡𝑦 ×
𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑏𝑒𝑎𝑚
FOR B1, B12, B3 & B14:
1
𝐴1 = (0.5)(0.5) = 0.125 𝑚2
2
𝐴2 = (0.5)(5.15) = 2.575 𝑚2
1
𝐴3 = (1.15 + 5.15)(2) = 6.3 𝑚2
2
𝐴𝑇 = 9.00 𝑚2
DEAD LOAD:
𝑆𝑒𝑙𝑓 𝑤𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑠𝑙𝑎𝑏 = (0.1)(24) = 2.4 𝑘𝑁/𝑚2
𝐶𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝐹𝑖𝑛𝑖𝑠ℎ 𝐵𝑜𝑡ℎ 𝑆𝑖𝑑𝑒𝑠 = (20)(0.023)(2) = 0.92 𝑘𝑁/𝑚2
𝑘𝑁
𝑊𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑏𝑒𝑎𝑚 = (0.3 × 0.3)(24) = 2.16
𝑚
(3.32 × 9)
𝑇𝑜𝑡𝑎𝑙 𝐷𝑒𝑎𝑑 𝐿𝑜𝑎𝑑 = + 2.16 = 7.961 𝑘𝑁/𝑚
5.15
LIVE LOAD:
9.00
𝐹𝑙𝑜𝑜𝑟 𝐿𝑖𝑣𝑒 𝐿𝑜𝑎𝑑 = 1.9 ( ) = 3.320 𝑘𝑁/𝑚
5.15
FOR B6, B7, B16, & B17:
1
𝐴1 = (2)(4) = 4 𝑚2
2
1
𝐴2 = (4 + 1.8)(1.75) = 5.075 𝑚2
2
𝐴𝑇 = 9.075 𝑚2
DEAD LOAD:
𝑆𝑒𝑙𝑓 𝑤𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑠𝑙𝑎𝑏 = (0.1)(24) = 2.4 𝑘𝑁/𝑚2
𝐶𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝐹𝑖𝑛𝑖𝑠𝑖ℎ 𝐵𝑜𝑡ℎ 𝑆𝑖𝑑𝑒𝑠 = (20)(0.023)(2) = 0.92 𝑘𝑁/𝑚2
𝑊𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑏𝑒𝑎𝑚 = (0.3 × 0.3)(24) = 2.16 𝑘𝑁/𝑚
(3.32×9.075)
𝑇𝑜𝑡𝑎𝑙 𝐷𝑒𝑎𝑑 𝐿𝑜𝑎𝑑 = + 2.16 = 9.612 𝑘𝑁/𝑚
4

LIVE LOAD:
9.075
𝐹𝑙𝑜𝑜𝑟 𝐿𝑖𝑣𝑒 𝐿𝑜𝑎𝑑 = 1.9 ( ) = 4.311 𝑘𝑁/𝑚
4
FOR B5 & B8:
1
𝐴1 = (5.15 + 1.15)(2) = 6.3 𝑚2
2
1
𝐴2 = (5.15 + 1.15)(2) = 6.3 𝑚2
2
𝐴𝑇 = 12.6 𝑚2
DEAD LOAD:
𝑆𝑒𝑙𝑓 𝑤𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑠𝑙𝑎𝑏 = (0.1)(24) = 2.4 𝑘𝑁/𝑚2
𝐶𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝐹𝑖𝑛𝑖𝑠ℎ 𝐵𝑜𝑡ℎ 𝑆𝑖𝑑𝑒𝑠 = (20)(0.023)(2) = 0.92 𝑘𝑁/𝑚2
𝑊𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑏𝑒𝑎𝑚 = (0.3 × 0.3)(24) = 2.16 𝑘𝑁/𝑚
(3.32 × 12.6)
𝑇𝑜𝑡𝑎𝑙 𝐷𝑒𝑎𝑑 𝐿𝑜𝑎𝑑 = + 2.16 = 10.283 𝑘𝑁/𝑚
5.15
LIVE LOAD:
12.6
𝐹𝑙𝑜𝑜𝑟 𝐿𝑖𝑣𝑒 𝐿𝑜𝑎𝑑 = 1.9 ( ) = 4.649 𝑘𝑁/𝑚
5.15
FOR B4, B11, B9 & B15
1
𝐴1 = (4)(2) = 4 𝑚2
2
𝐴2 = 4(0.5) = 2 𝑚2
1
𝐴3 = (0.5)(0.5) = 0.125 𝑚2
2
𝐴𝑇 = 6.125 𝑚2
DEAD LOAD:
𝑆𝑒𝑙𝑓 𝑤𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑠𝑙𝑎𝑏 = 2.4 𝑘𝑁/𝑚2
𝐶𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝐹𝑖𝑛𝑖𝑠ℎ 𝐵𝑜𝑡ℎ 𝑆𝑖𝑑𝑒𝑠 = 0.92 𝑘𝑁/𝑚2
𝑊𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑏𝑒𝑎𝑚 = 2.16 𝑘𝑁/𝑚2
(3.32 × 6.125)
𝑇𝑜𝑡𝑎𝑙 𝐷𝑒𝑎𝑑 𝐿𝑜𝑎𝑑 = + 2.16 = 7.244 𝑘𝑁/𝑚
4
LIVE LOAD:
6.125
𝐹𝑙𝑜𝑜𝑟 𝐿𝑖𝑣𝑒 𝐿𝑜𝑎𝑑 = 1.9 ( ) = 2.909 𝑘𝑁/𝑚
4
FOR B2 & B13:
1
𝐴1 = (3.5)(1.75) = 3.063 𝑘𝑁/𝑚2
2
𝐴2 = (0.5)(3.5) = 1.75 𝑘𝑁/𝑚2
𝐴𝑇 = 4.813 𝑚2
DEAD LOAD:
𝑆𝑒𝑙𝑓 𝑤𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑠𝑙𝑎𝑏 = 2.4 𝑘𝑁/𝑚2
𝐶𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝐹𝑖𝑛𝑖𝑠ℎ 𝐵𝑜𝑡ℎ 𝑆𝑖𝑑𝑒𝑠 = 0.92 𝑘𝑁/𝑚2
𝑊𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑏𝑒𝑎𝑚 = 2.16 𝑘𝑁/𝑚2
(3.32 × 4.813)
𝑇𝑜𝑡𝑎𝑙 𝐷𝑒𝑎𝑑 𝐿𝑜𝑎𝑑 = + 2.16 = 6.725 𝑘𝑁/𝑚
3.5
LIVE LOAD:
4.813
𝐹𝑙𝑜𝑜𝑟 𝐿𝑖𝑣𝑒 𝐿𝑜𝑎𝑑 = 1.9 ( ) = 2.613 𝑘𝑁/𝑚
3.5
FOR B10:
1
𝐴1 = (3.5)(1.75) = 3.063 𝑚2
2
1
𝐴2 = (3.5)(1.75) = 3.063 𝑚2
2
𝐴𝑇 = 6.126 𝑚2
DEAD LOAD:
𝑆𝑒𝑙𝑓 𝑤𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑠𝑙𝑎𝑏 = 2.4 𝑘𝑁/𝑚2
𝐶𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝐹𝑖𝑛𝑖𝑠ℎ 𝐵𝑜𝑡ℎ 𝑆𝑖𝑑𝑒𝑠 = 0.92 𝑘𝑁/𝑚2
𝑊𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑏𝑒𝑎𝑚 = 2.16 𝑘𝑁/𝑚2
(3.32 × 6.126)
𝑇𝑜𝑡𝑎𝑙 𝐷𝑒𝑎𝑑 𝐿𝑜𝑎𝑑 = + 2.16 = 7.971 𝑘𝑁/𝑚
3.5
LIVE LOAD:
6.126
𝐹𝑙𝑜𝑜𝑟 𝐿𝑖𝑣𝑒 𝐿𝑜𝑎𝑑 = 1.9 ( ) = 3.326 𝑘𝑁/𝑚
3.5

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