Understanding architectural drawing scales is crucial to interpreting blueprints correctly. This article provides a comprehensive insight into how different scales are used in architectural drawings, their mathematical basis, and their significance in accurately representing the dimensions of different architectural elements.
Key Insights
- The article explains that architectural drawings incorporate different scales to depict various elements accurately. For example, an overview of a kitchen, an enlargement of the kitchen area, an enlargement of the sink, and the drain might each use a different scale.
- Commonly used scales in architectural drawings include a quarter-inch equals a foot and half an inch equals a foot. These scales are used to depict the dimensions of various elements, such as a sink or a drain, in a comprehensible and proportionate manner on paper.
- The article also details the mathematical calculations behind determining scale factors. It explains how to convert these scales into the same units and then cross multiply to establish the scale factor. For instance, a quarter-inch equals a foot translates into a scale factor of 48.
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When we draw blueprints, we draw information on paper, but we don't just draw it, we draw it at a scale so that someone can take the piece of paper and can measure a distance and tell how long a wall is, how long a counter is, and so on and so forth. We have different scales that we use all the time. This sheet we're looking at right here has four drawings in it.
In the top left corner is an overview of a kitchen and a dining area. To the right of that is an enlargement of the kitchen area. Bottom left corner is an enlargement of the sink.
To the right of that is an enlargement of the drain. Over here in the top left corner, this drawing is drawn at a quarter inch equals a foot. What that means is that on the printed piece of paper, every quarter of an inch represents one foot.
So this sink, the bowl of the sink, is a foot wide. So since the scale factor is a quarter inch equals a foot, the physical rectangle that's drawn on the piece of paper is a quarter inch wide. Over here on the enlarged kitchen area, where the scale is half an inch equals a foot, the same sink bowl that is a foot wide as a real sink, in the blueprint drawing, because it is scaled down by a factor of 1 to 24, would be a half an inch wide printed line segment.
This enlargement of the sink, which is one and a half inches equals a foot, this foot wide bowl in reality on the piece of paper would be one and a half inches wide. And this drain, which happens to be drawn one to one, the drain is two and a half inches in size. So since it's a one to one drawing, it's two and a half inches wide in the real world, and the drawing that's printed is two and a half inches wide.
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Now let's spend a few minutes and go over the math that's behind creating drawing scale factors. Over here on the left hand side are a list of scale factors, and I'm going to start at the bottom and climb up, and then we'll come over here and talk about the math behind the scale factors. We can draw a drawing at full size, which is one to one, half size, one to two, quarter size, one to four, and the numbers go up.
Probably the most commonly used scale is a quarter inch equals a foot. A quarter of an inch equals a foot is a ratio of one to 48, and a scale factor of 48. So let's look at the math.
We have a quarter inch equals a foot. Architecturally, this is written out as one quarter inch equals one foot dash zero inches. In order to figure out the scale factor, we need to do some simple math.
The first thing we do is we write it out as a fraction. One quarter of an inch equals one foot, but now we need to convert it to the same units. Now we all know that there are 12 inches in a foot, and as a fraction, that's shown as 12 over one.
So what we do is cross multiply. Numerator, denominator, denominator, numerator. That's saying one represents 48, so there's the scale factor.
The same math would apply for three sixteenths of an inch equals a foot, and one and a half inch equals a foot. The difference is we just have to take this three is to 192 and break it down so that we have a scale factor of one on this side. We have the same thing happening at three sixteenths and an inch and a half equals a foot.
So again, the most commonly used scale factor we will see will be a quarter inch equals a foot. This is what you will see your floor plans, elevations, building sections, wall sections, which are enlarged portions of a building section will be even larger, so they're at a scale factor of 1 to 24. And then by the time we start zooming in to detail drawings, we'll get to the scales of one inch represents a foot all the way to six inches equals a foot.
So I would really like to recommend that you take this architectural scale factors chart and make a copy of it and keep it in your wallet because it will really come in handy sometimes.