A two-layer multi-strand cord (60) comprises an internal layer (CI) of the cord made up of J>1 internal strands (TI) and an external layer (CE) of the cord made up of L>1 external strands (TE). The cord satisfies the relationship 95≤MC≤180, where MC=(J×MI+L×ME)/(J+L); MI=200×cos.sup.4(α)×[Q×(D1/2).sup.2×cos.sup.4(β)+P×(D2/2).sup.2×cos.sup.4(δ)+N×(D3/2).sup.2×cos.sup.4(γ)]/[Q×(D1/2).sup.2+P×(D2/2).sup.2+N×(D3/2).sup.2]; and ME=200×cos.sup.4(α′)×[Q′×(D1′/2).sup.2×cos.sup.4(ββ)+P′×(D2′/2).sup.2×cos.sup.4(δ′)+N′×(D3′/2).sup.2×cos.sup.4(γ′)]/[Q′×(D1′/2).sup.2+P′×(D2/2).sup.2+N′×(D3′/2).sup.2], where D1, D1′, D2, D2′, D3 and D3′ are in mm, α and α′ are the helix angle of each internal and external strand (TI), β and β′ are the helix angle of each internal thread (F1, F1′), δ and δ′ are the helix angle of each intermediate thread (F2, F2′) and γ and γ′ are the helix angle of each external thread (F3, F3′).

A two-layer multi-strand cord (60) comprises an internal layer (CI) of the cord made up of J>1 internal strands (TI) and an external layer (CE) of the cord made up of L>1 external strands (TE). The cord satisfies the relationship 100≤MC≤175, where MC=(J×MI+L×ME)/(J+L); MI=200×cos.sup.4(α)×[Q×(D1/2).sup.2×cos.sup.4(β)+N×(D2/2).sup.2×cos.sup.4(γ)]/[Q×(D1/2).sup.2+N×(D2/2).sup.2]; and ME=200×cos.sup.4(α′)×[Q′×(D1′/2).sup.2×cos.sup.4(β′)+N′×(D2′/2).sup.2×cos.sup.4(γ′)]/[Q′×(D1′/2).sup.2+N′×(D2′/2).sup.2], where D1, D1′, D2, D2′ are in mm, α and α′ are the helix angle of each internal and external strand (TI), β and β′ are the helix angle of each internal thread (F1, F1′), and γ and γ′ are the helix angle of each external thread (F2, F2′).

A wire cable construct including a plurality of strands each made of a plurality of wire filaments, the strands and wire filaments arranged in a 37×7 configuration of 37 strands of 7 wire filaments each, with the strands arranged in four layers including a first, central layer of a single strand, a second layer of six strands, a third layer of twelve strands and a fourth, outermost layer of eighteen strands. The cable may have a small diameter for use in medical device applications, and the strand and wire element configuration allows the cable to carry high axial loads, minimizes bending stress when the cable is routed around a tight turn such as a small pulley, and minimizes torsion in the cable due to axial loading.

A two-layer multi-strand cord (60) has a modulus EC such that 50 GPaEC160 GPa. The cord comprises: (a) an internal layer (CI) of the cord made up of J>1 internal strands (TI) wound in a helix having a modulus EI, each internal strand (TI) comprising: an internal layer (C1) made up of Q1 internal threads (F1), and an external layer (C2) made up of N>1 external threads (F2) wound around the internal layer (C1), and (b) an external layer (CE) of the cord made up of L>1 external strands (TE) wound around the internal layer (CI) of the cord, each external strand (TE) comprising: an internal layer (C1) made up of Q1 internal threads (F1), and an external layer (C2) made up of N>1 external threads (F2) wound around the internal layer (C1).

A two-layer multi-strand cord (60) comprises an internal layer (CI) of the cord made up of J>1 internal strands (TI) and an external layer (CE) of the cord made up of L>1 external strands (TE). The cord satisfies the relationship 95MC175, where MC=(JMI+LME)/(J+L); MI=200cos.sup.4()[Q(D1/2).sup.2cos.sup.4()+P(D2/2).sup.2cos.sup.4()+N(D3/2).sup.2cos.sup.4()]/[Q(D1/2).sup.2+P(D2/2).sup.2+N(D3/2).sup.2]; and ME=200cos.sup.4()[Q(D1/2).sup.2cos.sup.4()+N(D2/2).sup.2cos.sup.4()]/[Q(D1/2).sup.2+N(D2/2).sup.2], where D1, D1, D2, D2, and D3 are in mm, and are the helix angle of each internal and external strand (TI), and are the helix angle of each internal thread (F1, F1), is the helix angle of each intermediate thread (F2) and and are the helix angle of each external thread (F3, F2).

A two-layer multi-strand cord (60) comprises an internal layer (CI) of the cord made up of J>1 internal strands (TI) and an external layer (CE) of the cord made up of L>1 external strands (TE). The cord satisfies the relationship 95MC175, where MC=(JMI+LME)/(J+L); MI=200cos.sup.4()[Q(D1/2).sup.2cos.sup.4()+N(D2/2).sup.2cos.sup.4()]/[Q(D1/2).sup.2+N(D2/2).sup.2]; and ME=200cos.sup.4()[Q(D1/2).sup.2cos.sup.4()+P(D2/2).sup.2cos.sup.4(6)+N(D3/2).sup.2cos.sup.4()]/[Q(D1/2).sup.2+P(D2/2).sup.2+N(D3/2).sup.2], where D1, D1, D2, D2, and D3 are in mm, and are the helix angle of each internal and external strand (TI), and are the helix angle of each internal thread (F1, F1), is the helix angle of each intermediate thread (F2) and and are the helix angle of each external thread (F2, F3).

A cable as may be used in a tire, including a pneumatic tire. The cable is constructed in a manner that can provide a desired stiffness to a tire as well as a certain amount of structural elongation. The cable can be provided in a manner that does not necessarily result in an increase in the overall weight of the tire as would occur by e.g., increasing the diameter of a conventional cable construction.

A braided structure that includes a core and a sheath is provided. The core includes a yarn formed at least in part from an aromatic polymer (e.g., an aromatic polyester/liquid crystalline polymer or an aramid polymer), and the sheath, which includes a plurality of ultra high molecular weight polyolefin yarns, is braided around the core. The sheath has an overall diameter ranging from about 60 micrometers to about 650 micrometers. Despite its small diameter, the braided structure can be creep resistant and abrasion resistant while at the same time exhibiting low elongation, a high load at break, and high stiffness. The braided structure can be used in medical applications such as sutures, load bearing orthopedic applications, artificial tendons/ligaments, fixation devices, actuation cables, components for tissue repair, etc.

A braided structure that includes a core and a sheath is provided. The core includes a yarn formed at least in part from an aromatic polymer (e.g., an aromatic polyester/liquid crystalline polymer or an aramid polymer), and the sheath, which includes a plurality of ultra high molecular weight polyolefin yarns, is braided around the core. The sheath has an overall diameter ranging from about 60 micrometers to about 650 micrometers. Despite its small diameter, the braided structure can be creep resistant and abrasion resistant while at the same time exhibiting low elongation, a high load at break, and high stiffness. The braided structure can be used in medical applications such as sutures, load bearing orthopedic applications, artificial tendons/ligaments, fixation devices, actuation cables, components for tissue repair, etc.

Methods and systems for ropes used to catch livestock such as a cattle roping lariat. In one embodiment, the lariat includes a set of strands, each strand including a set of yarns surrounding a central core. The set of strands are twisted to form a twisted rope. The lariat is manufactured using a set of components including a head box, a tree-cross box with a branched strand tree device and a cross device, and a tail box.