1. Sinking in Concrete Day 2 - Sidewalks

2. Extra Info Now you are ready to move on to the sidewalks. There are two sidewalks in this job –From driveway to porch –From porch to back of house  What do you need to know?  How wide to make the sidewalks  Where the gardens will be

3. Talk to the Owner Mr. Johansen would like the sidewalk to be 4’ wide. Mrs. Johansen would like a 2’ wide flower bed from the porch wrapping around the side of the house to meet up with the bathroom wall. Add this to your house plan. (open house plan day 2 in word)

4. What materials do you need? Just like the driveway you will need: –Gravel (only A grade this time) –Concrete –Rebar –Wood

5. What to calculate? Volume of gravel and concrete for each. Area of rebar for each. Perimeter of each for framing wood.

6. Sidewalk #1 (driveway to porch) This sidwalk curves and is approximatly ¼ of a circle. Imagine this was a big cylinder!

7. We will need to find the volume of just the outside edge of the bottom quarter. To find our dimensions, we will need to find the area of the big circle and subtract the area of the small circle. Then we will divide by 4 to find ¼ of the circle. What material requires us to find the area? Rebar!

8. To find the area of a circle: We need to find the radius of the big circle and the small circle. Look at the house plan! The radius of the small circle is the same as the width of the dining room (18’) The radius of the big circle is the width of the dining room plus the width of the sidewalk (4’) 18’+4’ = 22’

9. Calculate area Remember this is for the whole circle, we just want ¼ of it so divide by 4! 502.65/4 = 125.66 square feet

10. Put the amount in the table! GravelConcreteRebarWood Sidewalk #1 125.66 square feet

11. Gravel To find the volume of a prism we multiply the area of the base by it’s height. Since we now know the area, we can multiply by the thickness of the gravel 0.5’

12. Add to table GravelConcreteRebarWood Sidewalk #1 62.83 cubic feet 125.66 square feet

13. Concrete The concrete is found the same way as the gravel but with a new thickness 0.42.

14. Add to the table GravelConcreteRebarWood Sidewalk #1 62.83 cubic feet 52.78 cubic feet 125.66 square feet

15. Calculate the wood Now we need to find the perimeter to find the wood. Remember that perimeter goes around the sidewalk. Since the sidewalk is 4’ wide we have two ends at 4’ 4+4 = 8

16. What about the two sides? The inside corner is ¼ of the circumfrence of the small circle. The outside corner is ¼ of the circumfrence of the big circle. Remember that C=2Лr Recall we found the radius when we found the area: –Small circle – 18 –Big circle - 22

17. Small Circle: C=2*3.14*18 113.04 ** don’t forget to divide by 4 113.04/4 = 28.26’ Big Circle: C=2*3.14*22 138.16 ** don’t forget to divide by 4 138.16/4 = 34.54’ So the perimeter is 4+4+28.26+34.54 = 70.8’

18. Add it to the chart GravelConcreteRebarWood Sidewalk #1 62.83 cubic feet 52.78 cubic feet 125.66 square feet 70.8’

19. Now try to do sidewalk #2 (porch to back deck) Remember there are no curves for sidewalk #2 Remember to leave space for the flower beds!

20. Rebar This sidewalk can be broken into three rectangles: Front, side, back Front: the width is the dining room, plus the garden plus the width of the sidewalk. 11+2+4 = 17 by 4 17*4 = 68 square feet

21. Side is length of the house 55’9” Convert 9” to feet 9/12 =.75 So the side is 55.75 * 4 = 223 square feet Back is the width of bedroom #2 plus the sidewalk 11+4 = 15 15 * 4 = 60 square feet

22. Total Front + Side + Back A = 68+223+60 A=351 square feet GravelConcreteRebarWood Sidewalk #2 351 square feet

23. Gravel V=Abase*height V=351 * 0.5 V= 175.5 cubic feet GravelConcreteRebarWood Sidewalk #2 175.5 cubic feet 351 square feet

24. Concrete V=Abase * height V= 351 *.42 V= 147.42 cubic feet GravelConcreteRebarWood Sidewalk #2 175.5 cubic feet 147.42 cubic feet 351 square feet

25. Plywood Start at the front and add up all of the side lengths. 4 + 17+55.75+4+15+4+11+55.75+13 Remember to include the flowerbed and the width of the sidewalk, it is helpful to look at the plan! =179.5’

26. How much plywood? Sidewalk #1 Remember you get 8 strips of 8’ out of one sheet of plywood. 70.8/8=8.85 Sidewalk #2 179.5/8 = 22.44 strips 8.85 + 22.44 = 31.29’ 31.29/8 per sheet = 3.91 or 4 sheets

27. Put it all on the same chart! GravelConcreteRebarWood Sidewalk #1 62.83 cubic feet 52.78 cubic feet 125.66 square feet 70.8’ Sidewalk #2 175.5 cubic feet 147.42 cubic feet 351 square feet 179.5’ Total238.33 cubic feet 200.2 cubic feet 476.66 square feet 4 sheets

28. Gravel Cost Remember gravel is sold by the cubic yard = 238.33 * 0.037 = 8.82 cubic yards We will need 9 cubic yards

29. Concrete Cost Concrete is sold in cubic meters, convert to cubic yards first, then cubic meters. 200.2 * 0.037 = 7.41 cubic yards 7.41 * 1.82 = 13.49 cubic meters We will need 14 cubic meters

30. Rebar Cost Rebar is sold 4 x 8 = 32 square feet We need 476.66 square feet 476.66/32 = 14.9 sheets We will order 15

31. Cost it out GravelConcreteRebarPlywood How is it sold? Cubic Yard Cubic meter 4x8 sheet How much does each unit cost? $7.00$200$14.45$37.00 How many units do we need? 914154 Total of each item: (row 2 times row 3) 632800216.75148

32. Total Cost Grave (A-grade): $63.00 Concrete:$2800 Rebar: $216.75 Wood: $148.00 Total: $3227.75 + tax (multiply by 1.13) = $3647.36