TECH SOLUTIONS Calculating Insulation Needs to Fight Frost Heave by Comparing Freezing Index and Frost Depth

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Calculating Insulation Needs to Fight Frost Heave by Comparing and Frost Depth To calculate the amount of insulation needed to protect highways, railroads, airport runways, utility lines and building foundations against frost heave, it s important to know the amount of frost penetration. There are two ways to calculate frost penetration: theoretically or actual field monitoring. Dow uses both methods. A theoretical formula that predicts frost depth with freezing index information provides a quick estimate. Obtaining actual field data provides the most accurate information. The freezing index is defined as the number of degree-days (above and below 32 F [ C]) between the highest point in the autumn and the lowest point in the spring on the cumulative degree-day time curve for one winter season. Or, simply the total number of degree-days of freezing for a given winter. To help with calculations, this information sheet includes: maps of Canada showing the normal (mean) value of freezing index listings of normal freezing index data for major areas across Canada charts showing the relationship between freezing index and frost penetration as prepared by the Ministry of Transportation of Ontario Figure 1: Map for Canada 1 1 1 1 7 1 7 1 7 2 1 1 CANADA South of Latitude 8 North Chart 1 Normal in Degree-Days Fahrenheit Based on the Period 1931 to 196 Prepared jointly by the Division of Building Research, National Research Council, and the Atmospheric Environment Service, Dept. of the Environment, Canada 1 2 2 NOTE: 1 degree-day F = 1 degree-day C 1.8 1 1 1 2 1 Trademark of The Dow Chemical Company ( Dow ) or an affiliated company of Dow

Figure 2: Map for Southern Ontario 12 Sudbury 12 North Bay QUEBEC 11 GEORGIAN BAY 11 Pembroke QUEBEC Parry Sound Huntsville Ottawa 7 Bancroft Cornwall LAKE HURON Owen Sound Perth 7 Shelburne 7 Peterborough Kingston Stratford 3 Toronto LAKE ONTARIO Windsor 3 Chatham 3 London LAKE ERIE Wellend SOUTHERN ONTARIO Normal in Degree-Days Celsius Based on the Period 1931 to 197 Engineering Research and Development Branch, MTC Figure 3: Map for Northern Ontario MANITOBA HUDSON BAY NORTHERN ONTARIO Normal in Degree-Days Celsius Based on the Period 1931 to 197 Engineering Research and Development Branch, MTC JAMES BAY Big Trout Lake Moosonee QUEBEC Pickle Lake Hearst Cochrane Longlac Timmins MANITOBA Red Lake White River Chapleau New Liskeard North Bay Dryden Thunder Bay Sudbury Fort Frances LAKE SUPERIOR Sault Ste. Marie GEORGIAN BAY

Figure 4: Relationship between air freezing index, surface cover and frost penetration into homogeneous soils AIR FREEZING INDEX, DEGREE-DAYS F Figure 5: Relationship between air freezing index, surface cover and frost penetration into a granular soil overlying a fine-grained soil AIR FREEZING INDEX, DEGREE-DAYS F TURF, 12 INCH SNOW COVER 1 2 TURF, 12 INCH SNOW COVER 1 2 TURF, SNOW-FREE 1 2 1 TURF, SNOW-FREE 2 BARE GROUND OR PAVEMENT, SNOW-FREE BARE GROUND OR PAVEMENT, SNOW-FREE 1 2 1 2 2 2 FROST PENETRATION, FEET 4 6 8 P.C. CONCRETE FOR COMPARISON CLAY & DAMP TOP SOIL SILT & SANDY SILT SILTY SAND SAND & SILTY SANDY GRAVEL GRAVEL & SAND GLACIAL TILL WELL-DRAINED SANDY GRAVEL FROST PENETRATION, FEET 4 6 8 NO GRAVEL WELL-DRAINED SANDY GRAVEL 1' 2' 3' 4' 5' 6' 7' 8' 1 1 9' 1' 12 12 Figure 6: Frost Penetration in Ontario 197-1975.5 P FROST PENETRATION, METRES 1. 1.5 2. MOT 1973 P=-.61+.68 F MEAN MTC 197-75 P=-.328+.58 F 2.5 3. 1 2 F FREEZING INDEX, DEGREE-DAYS C

Table 1: Freezing Indices for Canada British Columbia Abbotsford A (1) 45 25 Beatton River A 3,893 2,164 Comox A 596 331 Cranbrook A 1,314 73 Dog Creek A 1,457 89 Fort Nelson A 4,523 2,513 Fort St. John A 2,848 1,582 Kamloops A 63 335 Kimberley A 1,434 797 New Westminister 35 19 Penticton A 313 174 Port Hardy A 33 18 Prince George A 1,67 928 Prince Rupert A 64 36 Princeton A 1,111 617 Quesnel A 1,457 89 Sandspit A 35 19 Smithers A 1,498 832 Smith River A 4,866 2,73 Terrace A 637 354 Tofino A 2 11 Vancouver A 31 17 Victoria A 28 16 Williams Lake A 881 489 Yukon Territory Aishihik A 5,38 2,799 Dawson 6,174 3,43 Haines Junction 4,498 2,499 Mayo 5,454 3,3 Snag A 6,477 3,598 Teslin A 3,754 2,86 Watson Lake A 3,281 1,823 Whitehorse 3,574 1,986 Northwest Territories Cape Dyer A 7,58 3,921 Coral Harbour A 8,552 4,751 Fort McPherson 7,747 4,34 Frobisher Bay A 7,26 3,93 Hay River A 5,512 3,62 Inuvik A 8,424 4,68 Norman Wells A 7,26 3,93 Resolute Bay A 11,166 6,23 Tuktoyaktuk 8,855 4,919 Yellowknife A 6,56 3,614 Alberta Banff 1,963 1,91 Calgary A 1,791 995 Cold Lake A 3,174 1,763 Cowley A 1,413 785 Edmonton A 2,593 1,441 Embarras A 4,439 2,466 Fort McMurray A 4,24 2,236 Grande Prairie A 2,967 1,648 Jasper 1,885 1,47 Lake Louise 2,81 1,561 Lethbridge A 1,326 737 Medicine Hat A 1,89 1,5 Peace River A 3,85 2,114 (1) A indicates an airport data station. Alberta continued Penhold A 2,586 1,437 Red Deer 2,382 1,323 Suffield A 2,259 1,255 Vermilion A 3,222 1,79 Saskatchewan Broadview A 3,244 1,82 Dafoe A 3,722 2,68 Estevan A 2,646 1,47 Moose Jaw A 2,555 1,419 North Battleford A 3,378 1,877 Prince Albert A 3,739 2,77 Regina A 3,175 1,764 Saskatoon A 3,284 1,824 Swift Current A 3,323 1,846 Uranium City A 5,551 3,84 Yorkton A 3,563 1,799 Manitoba Brandon A 3,388 1,882 Churchill A 6,698 3,721 Flin Flon 4,279 2,377 Gimli A 3,417 1,898 MacDonald A 3,38 1,688 Neepawa A 3,282 1,823 Portage La Prairie A 2,855 1,586 Rivers A 3,315 1,842 Winnipeg A 3,251 1,86 Ontario Algonquin Park 2,147 1,193 Belleville 1,143 635 Brampton 1,26 57 Brantford 79 439 Chalk River 2,96 1,164 Chatham 531 295 Cochrane 3,39 1,838 Collingwood 975 542 Dryden 3,395 1,886 Georgetown 1,84 62 Guelph 1,55 586 Hamilton 663 368 Huntsville 1,656 92 Iroquois Falls 3,388 1,882 Kapuskasing A 3,439 1,911 Kenora A 3,172 1,762 Kingston 1,22 678 Kirkland Lake 3,244 1,82 Kitchener 983 546 Lindsay 1,445 83 London A 863 479 Moosonee 4,81 2,267 Niagara Falls 684 38 North Bay 2,21 1,228 Orangeville 1,423 791 Orillia 1,495 831 Ottawa A 1,829 1,16 Owen Sound 995 553 Parry Sound 1,517 843 Peterborough 1,365 758 Port Arthur (Thunder Bay) 2,541 1,412 Continued on next page

Ontario continued St. Catharines 56 281 St. Thomas 71 394 Sarnia 67 372 Sault Ste. Marie A 1,663 924 Simcoe 751 417 Sioux Lookout A 3,45 1,917 Stratford 1,72 596 Sudbury A 2,41 1,334 Timmins A 3,16 1,756 Toronto 629 349 Toronto A 897 498 White River 3,344 1,858 Windsor A 565 314 Woodstock 929 516 Québec Bagotville A 2,867 1,593 Baie Comeau A 2,518 1,399 Chicoutimi 2,536 1,49 Drummondville 1,827 1,15 Gagnon A 4,216 2,342 Gaspé 2,12 1,118 La Malbaie 2,43 1,135 Mont Laurier 2,325 1,292 Montréal A 1,583 879 Québec 1,822 1,12 Québec A 2,59 1,144 Sept-Iles A 2,746 1,526 Sherbrooke 1,581 878 Sorel 1,997 1,19 Tadoussac 2,38 1,132 Three Rivers 2,139 1,188 New Brunswick Edmundston 2,219 1,233 Fredericton A 1,561 867 Moncton A 1,397 776 Pennfield Ridge A 1,178 654 New Brunswick continued Sackville 1,174 652 St. George 1,115 619 Saint John 1,2 557 Saint John A 1,137 632 Sussex 1,337 743 Woodstock 1,71 945 Nova Scotia Annapolis Royal 593 329 Cheticamp 955 531 Debert A 1,136 631 Greenwood A 815 453 Halifax 556 39 Halifax A 856 476 Ingonish Beach 828 46 Liverpool 453 252 Shearwater A 699 388 Springfield 933 518 Sydney A 811 451 Truro 1,25 569 Yarmouth A 415 231 Prince Edward Island Alliston 1, 556 Charlottetown A 1,21 667 Summerside A 1,242 69 Newfoundland Argentia A 475 264 Bonavista 853 474 Buchans A 1,724 958 Churchill Falls A 4,818 2,677 Corner Brook 1,12 622 Gander International A 1,27 671 Goose A 3,268 1,816 Grand Falls 1,394 774 St. John s 648 36 Stephenville A 925 514 Wabush Lake A 4,688 2,64 For Technical Information: 1-866-583-BLUE (2583) (English) 1--363-621 (French) For Sales Information: 1--232-2436 (English) 1--565-1255 (French) DOW CHEMICAL CANADA ULC. Dow Building Solutions. 45 1st St. SW. Suite 21. Calgary, AB T2P 5H1 www.dowbuildingsolutions.com NOTICE: No freedom from any patent owned by Dow or others is to be inferred. Because use conditions and applicable laws may differ from one location to another and may change with time, Customer is responsible for determining whether products and the information in this document are appropriate for Customer s use and for ensuring that Customer s workplace and disposal practices are in compliance with applicable laws and other government enactments. Dow assumes no obligation or liability for the information in this document. NO EXPRESS WARRANTIES ARE GIVEN EXCEPT FOR ANY APPLICABLE WRITTEN WARRANTIES SPECIFICALLY PROVIDED BY DOW. ALL IMPLIED WARRANTIES INCLUDING THOSE OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE EXPRESSLY EXCLUDED. Republished November 28 Trademark of The Dow Chemical Company ( Dow ) or an affiliated company of Dow Form No. 178-754-118P&M