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Mensuration for sheet metal workers
MENSURATION FOR SHEET METAL WORKERS
AS APPLIED IN WORKING ORDINARY PROBLEMS IN SHOP PRACTICE
By WILLIAM NEUBECKER
NEW YORK; DAVID WILLIAMS COMPANY, 1907
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Mensuration for sheet metal workers
Mensuration for Sheet Metal Workers,
Very little has been written about mensuration for the sheet metal worker, and although various collections of tables have been published, the rules are not generally explained so as to be easily understood or to enable one to proceed intelligently with practical problems which come up. In the pages which follow examples in computing the circumferences, areas and capacities for various shapes arising in practice are given in detail. The comprehension of these will enable the student to compute any ordinary problem in the shop.
Besides methods for finding the lengths, areas and volumes of the simpler geometrical forms, examples are given in computing the areas of heating and ventilating pipes of all ordinary shapes, making their areas equal to those of pipes of other profiles. The use of the prismoidal formula for obtaining the capacities of various shaped bodies is fully explained, as is a method of obtaining the hight of any solid to hold a given quantity when the diameter is known, or vice versa. A short rule is illustrated for finding the diameters of branch pipes taken from a given main pipe, so that the areas of the branches will equal the area of the main, and many other problems are treated.
Besides methods for finding the lengths, areas and volumes of the simpler geometrical forms, examples are given in computing the areas of heating and ventilating pipes of all ordinary shapes, making their areas equal to those of pipes of other profiles. The use of the prismoidal formula for obtaining the capacities of various shaped bodies is fully explained, as is a method of obtaining the hight of any solid to hold a given quantity when the diameter is known, or vice versa. A short rule is illustrated for finding the diameters of branch pipes taken from a given main pipe, so that the areas of the branches will equal the area of the main, and many other problems are treated.
CONTENTS
- Length of material required for a round pipe
- Amount of material for a square pipe
- Length of perimeter of a hexagon
- Square and circular sections of pipe of given dimensions
- Length of side of a square to be inclosed by a given circle
- Length of arc when angle and radius are known
- Amount of material for an ellipse when length and width are given
- Length of hypotenuse in a right angle triangle
- Areas in square, rectangle and rhomboid
- Areas in a right and an oblique triangle
- Area of triangle when three sides are given
- Area of trapezoid
- Area of trapezium
- Area of circle
- Area in circle and square
- Area in a ring
- Areas in sector and segment of a circle
- Square whose area is equal to area of given circle
- Circle whose area is equal to area of given square
- Area of ellipse
- Area of regular polygon
- Area of sphere
- Convex surface of cylinder
- Convex surface of frustum of cylinder
- Convex surface of elliptical cylinder and frustum of elliptical cylinder
- Convex surface of right prism and of frustum of right prism
- Convex surface of right cone
- Convex surface of right pyramid
- Convex surface of frustum of right cone
- Convex surface of frustum of right pyramid
- Capacities of tanks, etc.
- Contents of cube
- Contents of hexagonal prism
- Contents of cylinder
- Contents of sphere
- Contents of cone
- Contents of pyramid
- Contents of hopper
- Contents of prism of pyramid
- Contents of frustum of cone
- Contents of prismoid
- Contents of wedge
- Practical examples for the shop
- Pipes equal to rectangular pipe
- Boot
- Chimney top
- Another form of boot
- Pipe with branches
- Triangular pipe
- Elliptical pipe
- Two pronged fork
- Three pronged fork
- Ascertaining the sizes of articles
- A square tank
- A sphere
- An oil tank
- Wash boiler
- Flaring pail
- Flaring measure
- Flaring elliptical tub
- Flaring pan
- Short rules in computation
- Diameter of circle
- Height of inaccessible point
- Use of steel square
- Problems of steel square solution
- Obtaining radius
- Rectangle to square
- Circle to square
- Three squares
- Circle of four times the area
- Circumference of an ellipse
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Mensuration for sheet metal workers
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