Ultra high stiffness putter shaft

The putter shaft of claim 8, wherein:

• the putter shaft further comprises a tip ID and a tip OD;
• the tip ID and the tip OD are measured at the furthest portion of the tip end;
• the tip ID ranges inclusively between 0.06 inch and 0.20 inch;
• and
• the tip OD ranges inclusively between 0.25 inch and 0.45 inch.

The putter shaft of claim 9, wherein:

• the putter shaft further comprises a butt ID and a butt OD;
• the butt ID and OD are measured at the further portion of the butt end;
• and
• the butt OD ranges inclusively between 0.5 inch and 0.7 inch.

The putter shaft of claim 9, wherein:

• the putter shaft comprises a characterizing ratio selected from the group consisting of:
• a ratio of frequency to tip OD that ranges inclusively between 1444 cpm/inch and 3200 cpm/inch,
• a ratio of torsional stiffness to tip OD that ranges inclusively between 1.0 degrees/(ft*lb*inch) and 4.0 degrees/(ft*lb*inch),
• a ratio of frequency to shaft mass that ranges inclusively between 4.0 cpm/gram and 8.0 cpm/gram, and
• a ratio of torsional stiffness to shaft mass that ranges inclusively between 0.003 degress/(ft*lb*gram) and 0.010 degrees/(ft*lb*gram).

A putter shaft comprising:

• a tubular body comprising:
• a plurality of bias and longitudinal plies;
• a tip end;
• and
• a butt end;
• wherein:
• the putter shaft has a length, measured between the tip end and the butt end, that is inclusively between 32 inches and 38 inches;
• the putter shaft has a shaft mass inclusively between 115 grams and 135 grams;
• the putter shaft comprises at least 6 full length plies;
• at least 4 of the full length plies comprise a modulus value of at least 60 msi;
• and
• the putter shaft comprises an ultra-high stiffness as evidenced by:
• a frequency value of greater than 650 cpm;
• a tip deflection of less than 1.0 inch (2.54 cm);
• and
• a torsional stiffness of less than 1.5 degrees;
• wherein the frequency value is the number of oscillations that the tip end undergoes per minute when a first 6 inches of the butt end is clamped, a 205 gram weight is attached onto the tip end, and the tip end has been displaced and released;
• wherein the frequency value is measured within the first 2 to 10 oscillation cycles;
• wherein the tip deflection is the perpendicular displacement of the tip end of the shaft from an at-rest position of the shaft when a first 6 inches of the butt end is clamped and a 3.9 lb load is applied perpendicularly to the putter shaft at 1 inch inward from the tip end;
• and
• wherein the torsional stiffness is an angle of twist when the shaft a first 6 inches of the butt end is clamped, a first 1 inch of the tip end is clamped, and a torque load of 1 ft*lb is applied to the clamped tip end.

The putter shaft of claim 15, wherein:

• the putter shaft further comprises a butt ID and a butt OD;
• the butt ID and butt OD are measured at the further portion of the butt end;
• and
• the butt OD ranges inclusively between 0.5 inch and 0.7 inch.

A putter shaft comprising:

• a tubular body comprising:
• a plurality of bias and longitudinal plies;
• a tip end;
• and
• a butt end;
• wherein:
• the putter shaft has a length, measured between the tip end and the butt end, that is inclusively between 32 inches and 38 inches;
• the putter shaft is hollow and comprises a wall thickness defined by an inner diameter (ID) and an outer diameter (OD);
• the putter shaft further comprises a tip ID and a tip OD;
• the tip ID and the tip OD are measured at the furthest portion of the tip end;
• the putter shaft comprises an ultra-high stiffness as evidenced by a frequency value of greater than 650 cpm and a frequency ratio (RF) between 5.5 and 8;
• the frequency value of the shaft is the number of oscillations that the tip end undergoes per minute when a first 6 inches of the butt end is clamped, a 205 gram weight is attached onto the tip end, and the tip end has been displaced and released;
• wherein the frequency value is measured within the first 2 to 10 oscillation cycles;
• and
• the frequency ratio is calculated by the following equation:
• R
• F
• =
• Frequency
• 10
• ⁢
• ,
• ⁢
• 0
• ⁢
• 0
• ⁢
• 0
• ×
• (
• Tip
• ⁢
• ⁢
• OD
• )
• +
• Shaft
• ⁢
• ⁢
• Mass
• .