First Lessons in Theoretical Mechanics |
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Page 26
... length of the rod . The forces are distri- buted over the cross section . In the neighbourhood of their points of application ( A and B ) the distribution will depend on the way in which they are applied ; but , assum- ing the rod to be ...
... length of the rod . The forces are distri- buted over the cross section . In the neighbourhood of their points of application ( A and B ) the distribution will depend on the way in which they are applied ; but , assum- ing the rod to be ...
Page 27
... length , when they cease to act . In the case we have supposed the elongation ( l ) is proportional to the length ( L ) of the rod , and to the tensile stress , i . e . to the force estimated per unit of area of the cross section . If ...
... length , when they cease to act . In the case we have supposed the elongation ( l ) is proportional to the length ( L ) of the rod , and to the tensile stress , i . e . to the force estimated per unit of area of the cross section . If ...
Page 28
... length of the wire ? If x is the length in inches of the part which stretches the portion under consideration , and a the area of the cross section in square inches , the volume of the copper whose weight produces the elongation is x A ...
... length of the wire ? If x is the length in inches of the part which stretches the portion under consideration , and a the area of the cross section in square inches , the volume of the copper whose weight produces the elongation is x A ...
Page 32
... length of the rod ; when the stress reached 33,733 lbs . per square inch , the rod had been permanently lengthened by 1-2800th of its length . From this point the sets rapidly increased until at 56,488 lbs . per square inch the 1 See ...
... length of the rod ; when the stress reached 33,733 lbs . per square inch , the rod had been permanently lengthened by 1-2800th of its length . From this point the sets rapidly increased until at 56,488 lbs . per square inch the 1 See ...
Page 33
... length . ' Similar phenomena are presented by other substances , such as steel ; but in the case of brittle substances , such as cast iron , there is little or no permanent elongation before the stress equals the tenacity . P C FIG . 20 ...
... length . ' Similar phenomena are presented by other substances , such as steel ; but in the case of brittle substances , such as cast iron , there is little or no permanent elongation before the stress equals the tenacity . P C FIG . 20 ...
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Common terms and phrases
absolute units accelerative effect angle of friction angular velocity axis axle body moves centre of gravity centrifugal force coefficient of friction compression consequently couple cubic cylinder denote density described determined distance draw effect of gravity elastic energy equation equilibrium exerted expended fall feet and seconds foot-pounds force of gravity forces acting given gravitation units Hence horizontal inclined plane inertia instant last article last question length machine mass mercury modulus moment of inertia momentum motion mutual action opposite directions oscillation parallel forces parallelogram pendulum piston position pound principle of moments radius radius of gyration reaction resistance respectively rest resultant right angles rotation round screw specific gravity square inch student suppose surface thread three forces triangle turn uniform acceleration units act vertical line vessel weight
Popular passages
Page 187 - Whatever draws or presses another is as much drawn or pressed by that other. If you press a stone with your finger, the finger is also pressed by the stone. If a horse draws a stone tied to a rope, the horse (if I may so say) will be equally drawn back towards the stone...
Page 186 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Page 187 - Change of momentum is proportional to the impressed moving force, and takes place along the straight line in which that force is impressed.
Page 110 - Each wagon contains two and a quarter cubic yards. The result is, that each man has to lift nearly twenty tons weight of earth on a shovel over his head into a wagon. The height of the lifting is about six feet. This is taking it at fourteen sets a day ; but the navvies sometimes contrive to get through sixteen sets, and there are some men who will accomplish that astonishing quantity of work by three or four o'clock in the afternoon — a result, I believe, which is not nearly equalled by the workmen...
Page 160 - ... the resultant velocity will be represented in magnitude and direction by the diagonal, drawn from that point, of the parallelogram constructed on the two straight lines as adjacent sides.
Page 50 - ... the sum of the moments of the forces which tend to turn the body in one direction must be equal to the sum of the moments of those which tend to turn it in the opposite direction about the same axis.
Page 187 - To every action there is always opposed an equal reaction; or, the mutual actions of two bodies on each other are always equal and directed to contrary parts.
Page 92 - Every engineer knows that the work done by a force has to be measured by multiplying together the force and the distance through which its point of application moves forward.
Page 3 - The ratio of the mass of any quantity of a substance to the mass of an equal volume of some standard substance. In the case of solids and liquids the latter is chosen as water at 4° C.
Page 110 - set is a number of wagons — in fact, a train. There are two men to a wagon. If the wagon goes out fourteen times, each man has to fill seven wagons in the course of the day. Each wagon contains two and a quarter cubic yards. The result is, that each man has to lift nearly twenty tons weight of earth on a CHAP, shovel over his head into a wagon.