Some maths help please

Discussion in 'Open Forum' started by longilily, Jun 18, 2016.

  1. David Shouksmith

    David Shouksmith India Founder Member

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    Just received from my ex-maths teacher mate:-

    "As to the problem you posed about the diameter of the saw blade. I can not picture in my mind what the lintel looks like and why it would have a chord and part of a circumference of a circle.
    (obviously Ray's pics didn't download :doh: )
    However, as a mathematical problem the solution is not too difficult, though the answer makes no sense to me. A chord of length 200 mm with a distance from the chord to the circumference of only 7 mm means that the circle that links them is going to be huge compared to the dimensions given.

    I have calculated the diameter of the circle and it is 1436 mm (to the nearest mm). I can not imagine a saw blade with that diameter, but the calculation is correct.


    So if further confirmation were needed... :lol:
     
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  2. Tony Press

    Tony Press Ukraine Subscriber

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    On the off topic of energy efficiency, now that the diameter of the blade has been thrice solved.

    We live in a big house (bought cheap) which was constructed at 90 degrees from maximum solar gain; single brick; originally heated by wood heater and radiant electrical heating; plus electrical hot water.

    Very expensive to heat; bloody hot in summer!

    Here's what we did over the last decade to reduce our electricity bill to below 1/3 of what it used to be; and we don't have to buy wood for heating (which is more expensive than electricity):

    1. When to hot water system needed repairing, we installed rooftop solar hot water (Tasmania is pretty cloudy). This immediately bought our electricity bill down by about 1/3 and paid for itself in 4 years - plus, we had more hot water for when the whole family lived in the house.

    2. We installed heat pumps (reverse cycle air conditioning) to heat the house in winter and cool it in summer (when needed). This immediately reduced our electricity bill by another 1/3, plus we don't have to buy wood for the wood heater (now removed from the house).

    3. We completed insulating the ceiling with fibreglass batts; and when we renovated the kitchen/dining/sitting room, we put in double glazing in the windows and large door.

    When we were doing the renovation we also installed (wind driven) exhaust fans on the roof to extract moist air from between the insulated ceiling and tin roof. This solved our ceiling mould problem.

    All in all, if you leave out the capital in the renovations, and just cost the heating and insulation, over the decade they have well and truly paid for themselves. Our last winter bill for electricity rated us at below the average one-person household in Tasmania.

    Cheers

    Tony
     
  3. Derek

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    1436mm = 4' 8" diameter (as near as dammit).

    Our wall cavity constantly has dust and debris falling. Much of this due to air turbulence; mice activity, (even spiders) or bird activity. It's a rented house and 'system' built - no insulation company will touch it for cavity insulation due to the inner and outer walls being of concrete slabs. Their fear is from litigation claims from the landlord over condensation that may occur within the filled cavities. Still quite a warm house in winter though - got a good Rayburn going 24/7.
     
  4. longilily United Kingdom

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    Jon, you got me looking at my brickwork now :-k and at first I thought it was a standard stretcher bond but looking around the house I've found a couple of varying Bonds :-k I'll take some pics when it stops rissing down :thumbup:
     
  5. longilily United Kingdom

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    You'll be able to tell better than me but, this bond.....

    1466429899-image.jpg

    Seems different to this bond ( I also have this vertical row of headers under each of the front windows)......

    1466429921-image.jpg

    Which is different to this bond....

    1466429936-image.jpg

    Back door brick lintel

    1466429959-image.jpg
     

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  6. JonD

    JonD Subscriber

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    Been away for a bit. Pleased the maths question is answered - a very big circular saw then!

    I'm not any expert on bonds but the first pic is normal or running bond. Long sides of bricks visible except at the corners.

    The bricks placed with short end out (in 2nd pic) are known as risers. Simple alternating risers and stretchers is Flemish Bond - my house is this.

    Pic 2 has many stretchers sitting between the risers. I haven't been able to find a repeat to establish how many. The risers do repeat their positions vertically with one course of only stretchers between them. I think that is a version of Flemish Stretcher Bond.

    Pic3 is hard to make out because the wall is painted. Looks like a course of risers only, 5 courses of stretchers only then another course of risers only. I believe that is known as Scottish Bond (wiki cheat on that one!).

    Spotting brick patterns is a good pastime when waiting for something to happen. Extensions built in the wrong pattern are particularly nice to spot - usually means done on the cheap. My building inspector wouldn't even allow a different bond on the stud wall for a conservatory. The pattern and brick colours had to match the rest he insisted. The wall is
     
  7. Derek

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    Spot the bonds!
    http://www.jaharrison.me.uk/Brickwork/Bonds.html
    http://www.gobrick.com/portals/25/docs/technical%20notes/tn30.pdf

    Didn't spot any Brooke bond . . wrong time of day perhaps.
     
  8. JonD

    JonD Subscriber

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    You can invent your own then, spells out
    TEA

    You will need about 10 courses before it works.
    Brooke Bond!

    It'll be a favourite among the early morning risers and stretchers...
     
  9. David Shouksmith

    David Shouksmith India Founder Member

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    Coo-ee, Mr Brickie - what bond is that?

    You name it, Son, and I'll build it...

    1466448435-Screen_Shot_06-20-16_at_05.15_PM.jpg
     

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  10. JonD

    JonD Subscriber

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    Dad!! Piano is on my foot...
     
  11. longilily United Kingdom

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    Jesus that takes me back, what year was that commercial ?
     
  12. JonD

    JonD Subscriber

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    I don't know.
    All I know is I am imprinted by it, it has instant recall, so I guess they did their job.

    But it still isn't bricks, or maths come to that!

    And while on the subject...-Dad! the X246B has gone out again. A good job it's nearly solstice or would be in the dark. 'kin thing.
     
  13. David Shouksmith

    David Shouksmith India Founder Member

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    c.1971, it said on the YouTube clip I half-inched that still from...

    It was definitely on the box in 1972 when I started teaching in Egham, Surrey. That was my first nickname - Mr Shifter. All you heard, all day, every day down the corridor was 'Coo-ee, Mr Shifter'. Mind, I got called a lot worse later on. ;) :lol:

    Sunderland won the cup at the end of that school year and that shut the little ******s up... :D/
     
  14. longilily United Kingdom

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    :lol: So why was you nicknamed 'Mr Shifter' David ???

    Do tell !
     
  15. David Shouksmith

    David Shouksmith India Founder Member

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    Alliteration, Ray - both begin with 'Sh'. That's what passed for intelligence in Egham in 1972... ](*,)

    Then there was 'Eddie' after Eddie Shoestring - I got sick of hearing them humming the theme tune as if they were being clever because they didn't think I realised... :roll: I think I may have had a slight resemblance to Trevor Eve as well...

    https://www.youtube.com/watch?v=L9l8kwEg_p0

    Ah, it all comes flooding back... :lol:
     
  16. longilily United Kingdom

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    Uh :shock: [-(
    Beats me , saying that, not sure what you looked like back in 1973 :lol: on a serious note , I wouldn't want to be a school teacher , thankless task and very probably loaded with stress on a daily basis
     
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  17. David Shouksmith

    David Shouksmith India Founder Member

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    1979...

    Anyway:-
    1466461332-Mr_Shifter_1973.jpg
    Mr Shifter 1973
     

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  18. David Shouksmith

    David Shouksmith India Founder Member

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    ...and:-

    1466462117-Eddie_Shoestring__Spring_1976.jpg
    A very early Eddie Shoestring - c. Spring 1976?
     

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  19. longilily United Kingdom

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    Why have all your trousers shrunk :-k :lol: ;)

    Otherwise, a dashing young man :thumbup:
     
  20. David Shouksmith

    David Shouksmith India Founder Member

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    :-k Um, I could tell you that was the fashion in those days but maybe I was a late developer, Ray (that's why I look so youthful now ;) ), so I think I might have still been growing... :whistle:

    I've got other photographs but they're in colour and I can't get them under the filesize limit (luckily!) :lol:
     
  21. longilily United Kingdom

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    I smell Bull$#it......... :lol: ;)
     
  22. David Shouksmith

    David Shouksmith India Founder Member

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    Obviously the pix (or the slight whiff of bullsh!t) have frightened everyone away, Ray... ;) :lol:
     
  23. longilily United Kingdom

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    You teaching the kids about Tilley Donuts in that second pic David :-k :lol:
     
  24. David Shouksmith

    David Shouksmith India Founder Member

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    Nah, I was actually standing on a table, launching a paper aeroplane that I'd scientifically designed to achieve the longest flight, in an attempt to win the 'Sir George Cayley Trophy' - which I didn't... :-& :cry:

    https://en.wikipedia.org/wiki/George_Cayley
     
  25. longilily United Kingdom

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    Nah, probably peed off listening to two 'Ole Gits' totally off topic and talking rubbish :roll: :lol:

    Ah well, life's pretty short :thumbup: gotta be enjoyed eh :thumbup:
     
  26. Matthew92

    Matthew92 Subscriber

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    I'm still lurking, waiting to insert a witty comment when I think of one. :lol:
     
  27. David Shouksmith

    David Shouksmith India Founder Member

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    ...unless there's something better on the telly - footer or something, maybe? :-k
     

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