# floor framing

## Solution to Problem 543 | Floor Framing

**Problem 543**

A portion of the floor plan of a building is shown in Fig. P-543. The total loading (including live and dead loads) in each bay is as shown. Select the lightest suitable W-shape if the allowable flexural stress is 120 MPa.

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## For Girders (G - 2) | Solution to Problem 542

## For Girders (G - 2)

$S_{required} = \dfrac{M}{f_b} = \dfrac{120(1000^2)}{120}$

$S_{required} = 1000 \times 10^3 \, \text{mm}^3$

From Appendix B, Table B-2 Properties of Wide-Flange Sections (W Shapes): SI Units, of text book:

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## For Beams (B - 3) | Solution to Problem 542

## For Beams (B - 3)

$M_{max} = \frac{1}{8}(20)(62)$

$M_{max} = 90 \, \text{kN}\cdot\text{m}$

$S_{required} = \dfrac{M_{max}}{f_b} = \dfrac{90(1000^2)}{120}$

$S_{required} = 750 \times 10^3 \, \text{mm}^3$

From Appendix B, Table B-2 Properties of Wide Flange Sections (W Shapes): SI Units, of text book:

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## For Beams (B - 2) | Solution to Problem 542

## For Beams (B - 2)

$\Sigma M_{R2} = 0$

$6R_1 = 20(4) + 10(2)(5) + 15(4)(2)$

$R_1 = 50 \, \text{kN}$

$\Sigma M_{R1} = 0$

$6R_2 = 20(2) + 10(2)(1) + 15(4)(4)$

$R_2 = 50 \, \text{kN}$

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## For Girder (G - 1) | Solution to Problem 542

**For Girder (G - 1)**

$S_{live-load} = \dfrac{M}{f_b} = \dfrac{40(1000^2)}{120}$

$S_{live-load} = 333.33 \times 10^3 \, \text{mm}^3$

From Appendix B, Table B-2 Properties of Wide-Flange Sections (W Shapes): SI Units, of text book:

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## Solution to Problem 542 | Floor Framing

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## Solution to Problem 541 | Floor Framing

**Problem 541**

The 18-ft long floor beams in a building are simply supported at their ends and carry a floor load of 0.6 lb/in^{2}. If the beams have W10 × 30 sections, determine the center-line spacing using an allowable flexural stress of 18 ksi.

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## Solution to Problem 540 | Floor Framing

**Problem 540**

Timbers 8 inches wide by 12 inches deep and 15 feet long, supported at top and bottom, back up a dam restraining water 9 feet deep. Water weighs 62.5 lb/ft^{3}. (a) Compute the center-line spacing of the timbers to cause f_{b} = 1000 psi. (b) Will this spacing be safe if the maximum f_{b}, (f_{b})_{max} = 1600 psi, and the water reaches its maximum depth of 15 ft?

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