Show wheel gearin gearing in simple word by wm H kritzer Kril ser E E 1 cne HE term gearing gearin cr is applied to all parts of machinery by which w motion is transmitted especially is it employed for wheels whether friction or to tooth oth tooth wheels are in gear when their teeth are engaged together out of gear when separated spin gears are wheels with teeth or cogs ranged around the outer or inner surface of the rim in the direction of radii from the center bevel gears are wheels the teeth of which are placed upon the outer periphery in a direction converging to the apex of a cone when two bevel wheels of the same diameter work together at an angle of 45 degrees they are called miter wheels the teeth are called teeth when they are of one and the same piece as the body of the wheel and cogs when they are of sep erate crate material the length of a tooth in the direction of the radius of the wheel is called the depth and this is divided into two parts first the addendum see fig 4 the height of the tooth above the pitch line second the the depth below the 12 0 X 14 h line see fig 2 the extra depth or space is called the cle clearance clearage arane e line see fa fig 19 1 1 1 1 the pitch line of a wheel is the circle upon which the pitch is measured and it is the circumference by which the diameter or the velocity of the wheel is measured see fig 3 and consists of two parts the thickness of the tooth and the space between it and the next tooth this space is called the backlash see fig A the pitch is the arc of the circle of the pitch line and is determined by the number of the teeth in the wheel the true pitch Ch ordial or that by which the dimensions of the tooth of a wheel are alone determined is a straight line drawn from the centers of two contiguous teeth upon the pitch line the line of centers is the line between the centers of two wheels the radius of the wheel is the semi eter running to the periphery of a tooth the pitch radius is the semi diameter ru running nning to the pitch line A mortice wheel is a wheel constructed for the reception of teeth or cogs which are fitted into recesses or sockets upon the face of the wheel A wheel which impels another is termed the driver leader or spur the one impelled is the driven follower or pinion A series of wheels in connection with each other is termed a train when two wheels act upon one another the greater is termed the wheel and the lesser the pinion when a pinion is driven by a wheel the number of teeth in the pinion should not be ess than eight when a wheel is driven by a pinion the number of teeth in the pinion should not be less than ten the number of teeth in the wheel should not be divisible by the number of teeth in the pinion without a remainder this is in order to prevent the same teeth coming together so often as to cause an irregular wear of their faces proportion OF TEETH OP OF WHEELS molesworth from pitch line to top of tooth pitch x total depth of teeth pitch x thickness of tooth on pitch line pitch x space between teeth on pitch line pitch x thickness of rim of wheel pitch x thickness of arms if flat pitch x ordinary width of teeth in small pitches pitch x 2 ordinary Orni Orn inary oary width of teeth in large pitches pitch x 3 thickness round center pitch x 13 to compute the diameter of a pinion when the diameter of the wheel and the number of teeth in the wheel and pinion are given multiply the diameter of the wheel by the number of teeth in the pinion and divide the product by the number of teeth in the wheel to compute the number of teeth required in a train of wheels to produce a given velocity multiply the number of teeth in the driver by its number of revolutions and divide the product by the number of revolutions of each pinion for each driver and pinion to compute the circumference of a wheel multiply the number of teeth by their pitch to compute the revolutions of a wheel or pinion multiply the diameter or the circumference of the wheel or the number of its teeth as the case may be by the number of its revolutions and divide the product by the diameter circumference or number of teeth in the pinion to compute the velocity of a pinion divide the diameter circumference or the number of teeth in the driver as the case may be by the diameter etc of the pinion when there are a series or train of wheels and pinions divide the continued product of the diameter circumference or the number of teeth in the wheels by the continued product of the diameter etc of the pinions to compute the number of teeth in a pinion ar or follower to have a given velocity v elo city multiply the velocity of the driver by its number of teeth and divide the product by the velocity of the driver to compute the diameter of a wheel for a 11 given pitch and number of teeth multiply the diameter in the following table for the number of teeth by the pitch and the product will give the diameter at the pitch circle to compute the number of teeth of a wheel for a given diameter and pitch divide the diameter by the pitch and opposite to the quotient in the following table is given the number of teeth to compute the number of teeth in a pinion or follower to have a given velocity multiply the velocity of the driver by its number of teeth and divide the product by the velocity of the driver to compute the diameter of a wheel for a given pitch and number of teeth multiply the diameter in the following table for the number of teeth by the pitch and the product will give the diameter at the pitch circle to compute the pitch of a wheel for a given diameter and number of teeth divide the diameter of the wheel by the diameter in the following table for the number of teeth and the product will give the pitch to compute the number of teeth of a wheel for a given diameter and pitch divide the diameter by the pitch and opposite to the quotient in the following table is given the number of teeth DIAMETER OF PITCH LINE OF WHEELS FROM 10 TO TEETH OF ONE 1 INCH CIRCULAR PITCH W as 3 ta ea H d q sa z 12 M U M q X ea U 13 1 3 ta 5 d CD D CD CD C cd t c D 0 0 0 03 2 CD S 0 2 v W s 0 0 8 D P ca P p CD gi S CD a S tr 0 S W CD 6 B B s n P S IB CD W m W 4 m W ba CO A 10 3 31 52 73 91 11 32 53 74 23 95 12 33 54 75 96 13 34 55 76 97 14 35 56 77 98 15 36 57 78 99 16 37 58 79 17 38 59 80 25 18 39 60 81 19 40 61 82 20 41 13 62 83 21 42 63 84 22 43 64 85 1 23 44 65 86 24 45 66 87 25 46 07 67 88 26 47 68 89 27 8 48 69 90 28 8 49 70 91 29 9 50 71 1 92 30 51 72 93 NOTE for any other pitch than one inch multiply the figures in the table by the pitch to compute the pitch of a wheel divide the circumference at the pitch line by the n umber number of teeth to compute the true or Ch ordial pitch divide degrees by the number of teeth t ascertain the sign of the quotient and multiply it by the diameter of the wheel to compute the diameter of a wheel multiply the number of teeth by the pitch and divide the product by to compute the number of teeth in a wheel divide the circumference by the pitch |