Mining wire ropes

Bulker Industrial Mining Wire Ropes are engineered to conquer the earth’s harshest subterranean and open-pit environments. When equipment downtime costs thousands per minute, Bulker Wire Ropes deliver unstoppable reliability for draglines, shovel hoists, and deep-shaft mine winders.

Built to outlast: the ultimate mining triple shield

Crack resistance

Forged from ultra-pure, high-ductility steel alloys and precision-wound to disperse extreme cyclic bending stress. Our ropes absorb sudden shock loads without developing micro-fractures or structural fatigue.

Corrosion immunity

Infused with our signature BulkerGal-A3 zinc-aluminum molecular armor and pressure-injected with hydro-repellent synthetic lubricants. This dual barrier completely blocks acidic mine water, sulfur, and deep-earth moisture from rotting the core.

Abrasion defiance

Engineered with high-density, outer-strand profiles and optional compacted wire layouts. This creates a smooth, ultra-hard exterior surface that minimizes friction against sheaves and relentlessly resists abrasive rock dust and grit.

Overview

Heavy-duty rigging & hoisting for mining

Premium heavy-duty rigging & hoisting solutions for global mining operations.

In the unforgiving environments of modern mining, operational continuity, extreme load resilience, and absolute safety are non-negotiable. BULKER WIRE ROPES engineered extraction solutions are uniquely qualified to withstand high cyclic bending stresses, abrasive dust, corrosive mine waters, and immense shock loads. Every millimeter of our rope is certified under our proprietary three-digit tracking protocol, BRM 391, ensuring guaranteed performance from the deep underground shaft to the point of global maritime export at the quay.

Comprehensive sector architecture

Our engineered wire solutions are tailor-made for specific operational conditions across all primary mining frameworks:

Open-pit mining

Resisting extreme weather variations, abrasive grit, shock vibrations, and heavy bending stress across massive surface operations.

Underground mining

Providing critical failure-preventative tensile strength and exceptional fatigue life for high-speed, high-depth vertical hoisting and shaft systems.

In-situ recovery & solution mining

Withstanding sustained immersion in chemically active liquids and corrosive chemical extraction setups.

Placer & marine mining

Countering continuous moisture, severe grit abrasion, and brackish underwater dredging environments.

Exhaustive equipment coverage

BULKER WIRE ROPES supplies high-performance configurations for every piece of machinery requiring wire ropes throughout the entire extraction, processing, and port handling lifecycle:

Surface excavation machinery

Electric Rope Shovels (Hoist, Crowd, Retract, and Dipper Trip ropes), Draglines (Hoist, Drag, Dump, and Boom Suspension ropes), Bucket Wheel Excavators, and High-Capacity Mobile/Crawler Cranes.

Underground infrastructure

Koepe/Friction Hoists, Drum Hoists (Single and Double Drum installations), Tail/Balance Ropes, Guide Ropes, Shaft Sinking Winches, Slushers, Scrapers, and Stage Winches.

Processing & heavy material logistics

Conveyor Tensioning Systems, Wagon Lifting Cranes & Tipplers (Heavy-duty high-diameter ropes specifically engineered for flipping and lifting bauxite wagons to dump raw ore for crushing/refinement).

Quay & port operations

Ship-to-Shore (STS) Quay Cranes, Stacker-Reclaimers, Ship Loaders, Continuous Vessel Unloaders, and Heavy-Duty Harbor Boom Hoists used at the quay for global mineral export.

The BULKER technical advantage

01 BRM 391 quality architecture

Our strictly enforced BRM 391 three-digit compliance framework certifies that every batch of wire ropes undergoes non-destructive electromagnetic testing, rigorous breaking load validations, and multi-stage grain boundary analysis. This ensures absolute traceability and a near-zero failure metric across maximum load ceilings.

02 Advanced corrosion & abrasion resistant coating

BULKER wire ropes are coated with a specialized zinc-aluminum-magnesium micro-alloy thermal shield integrated with a high-viscosity synthetic polymer core lubricant. This dual-action layer seals the inner strands against acidic mine runoff, high-salinity air at the quay, and heavy physical abrasion from flying ore particles—extending standard rope service life by up to 300%.

03 Rapid deliveries & global logistics hubs

We eliminate costly site downtime through an active network of strategically positioned distribution hubs. BULKER guarantees rapid delivery, custom spooling, and on-site engineering support directly to your remote mine site or export facility, dramatically reducing lead times from weeks to days.

Mining sector technical specifications table

The following matrix represents standard engineering specifications for premium BULKER WIRE ROPES utilized across mining and quay infrastructures, including our new specialized large-diameter bauxite wagon lifting rope classes:

Application / equipment typeNominal diameterRope construction classMinimum breaking loadSpecialized outer coating/lubrication
Electric rope shovel (hoist)52 – 64 mm8x37 IWRC compacted2,150 – 3,240 kNAbrasion Poly-Shield / BRM 391
Dragline (drag ropes)76 – 102 mm6x41 Filler Wire IWRC4,480 – 7,850 kNExtreme Grip anti-wear compound
Underground Koepe friction hoist40 – 54 mmFull Locked Coil1,850 – 3,400 kNGalvanized anti-corrosive fluid
Underground drum hoist32 – 48 mm6x36 Warrington-Seale840 – 1,910 kNHeavy duty core fill / BRM 391
Shaft sinking / stage winch24 – 38 mm18x7 non-rotating class410 – 1,020 kNZinc-alum galvanized coating
Slushers & scrapers16 – 22 mm6x19 Seale fiber core145 – 280 kNHigh friction synthetic grease
Conveyor tensioning system20 – 28 mm6x25 Filler Wire IWRC290 – 560 kNMoisture block micro-lubricant
Wagon lifting (bauxite dump processing) – new68 – 82 mm8x49 premium compacted IWRC3,850 – 5,600 kNUltra-thick wear-resistant polish
Wagon lifting (bauxite dump processing) – new84 – 96 mm9x49 super-compacted IWRC5,820 – 7,540 kNDual-shield abrasion resistant armor
Technical brochure

Surface mining

Engineered for extreme abrasion, high impact and harsh atmospheric exposure in open-pit operations.

Wire ropes for electric rope shovels, draglines, rotary blast-hole drilling rigs and haul-road recovery, from 38 to 111 mm.

Heavy dragline working in an open-pit quarry
Heavy dragline excavator in open-pit mining operation

6x19 · 6x36

Rope shovels, draglines & mine hoists

Engineered for extreme depths

Constructed to withstand harsh abrasive environments and the extreme tension of deep shaft operation. High-carbon steel composition and specialized lubrication for resistance to crushing and fatigue. Available in constructions such as the 6x19 and 6x36 classifications, designed for hoist, dragline and shovel applications.

Rope shovels

Boom suspension ropes and dipper hoist rope.

Draglines

Hoist, drag and dump ropes for the bucket.

Mine hoists

Ropes for mine hoists and vertical winder systems.

Why leading surface mines partner with Bulker

Unmatched fatigue life

Our surface mining ropes are manufactured using high-density plastic compaction and optimized strand geometries, reducing internal friction and delivering up to 35% longer cycle life on draglines and electric shovels.

Severe abrasion resistance

Outer wire profiles specifically calculated to withstand abrasive drag over jagged pit floors, rock wall contact and harsh bench conditions without premature crown wear.

Reduced unplanned downtime

Bulker wire ropes undergo rigorous non-destructive magnetic testing and automated strand-tension balancing during manufacturing, virtually eliminating early operational strand failure.

Custom heavy spooling

Supplied in engineered lengths tailored to major shovel and dragline models, packaged on heavy-duty steel reels with protective wooden lagging for safe field deployment.

Precision manufacturing: how Bulker crafts ropes for extreme mining

Every Bulker wire rope is built in our state-of-the-art facility using proprietary metallurgical processes, continuous quality monitoring and zero-compromise tolerance checks.

01 Micro-purified carbon steel rods

We source exclusively high-carbon micro-alloyed steel rod stock with zero internal inclusions, giving our drawn wires extreme yield strength and resilience against micro-cracking under shock loads.

02 Controlled inline lead patenting

Prior to cold drawing, our steel wire undergoes thermal inline patenting to form a homogeneous fine-pearlite grain structure, essential for achieving high ductility alongside maximum tensile strength.

03 Precision rotary die compaction

Strands are passed through precision-calibrated rotary compaction rollers, flattening the outer wire crowns to maximize metallic area, smooth out surface contact and minimize friction.

04 Polymer infiltration & cushioning

During the closing phase, synthetic solid polymers are hot-extruded deep into the steel core, locking in factory lubrication while insulating internal strands against dynamic friction and moisture.

Zero-defect quality assurance guarantee

Every meter of Bulker surface mining rope undergoes continuous 360-degree high-definition laser diameter tracking, laser surface inspection and full-length electromagnetic flux (NDT) testing to verify 100% core and strand integrity before leaving our facility.

Advanced corrosion protection: Grade A galvanizing

Surface mining operations subject wire ropes to harsh atmospheric moisture, acidic runoff and slurry exposure. Bulker wire ropes feature a hot-dip Grade A heavy zinc coating applied in accordance with EN 10264-2 / ISO 2232 standards.

  • Thick zinc barrier: provides a minimum zinc mass per unit surface area up to 3x thicker than standard commercial coatings, offering active sacrificial corrosion defence.
  • High ductility bond: micro-alloyed zinc chemistry ensures the coating flexes smoothly around sheaves without flaking, cracking or peeling under intense dynamic bending.
  • Extended service horizon: protects the underlying high-carbon steel wire against pitting corrosion, the primary catalyst for fatigue cracks in open-cast equipment.

Surface mining product lineup

CodeNominal diameterStrand configApplicationRope constructionKey characteristic
BWR-10150 mm (2.0 in)8 strands (outer)Electric shovel hoist8x55 compacted / plastic coreHigh bending fatigue life & plastic cushioning
BWR-10254 mm (2.125 in)8 strands (outer)Electric shovel crowd line8x36 compacted / cushion coreCrush resistant with smooth drum spooling
BWR-10364 mm (2.5 in)6 strands (outer)Medium dragline hoist6x36 Warrington Seale / Galv AHigh tensile strength & corrosion barrier
BWR-10470 mm (2.75 in)8 strands (outer)Heavy shovel hoist / drag line8x36 compacted + plasticizedExtreme fatigue life under continuous shock load
BWR-10577 mm (3.0 in)6 heavy strandsHeavy dragline drag rope6x19 outer heavy strand / Galv AMaximum outer wire abrasion protection
BWR-10695 mm (3.75 in)8 compacted strandsUltra-class dragline drag rope8x36 compact strand / Grade AMassive strength for high-capacity buckets
BWR-107111 mm (4.375 in)8 structural strandsExtreme duty dragline main dragSpecialty 8-strand cushion coreMaximum core protection & severe wear life
BWR-10838 mm (1.5 in)19 strands (2 layers)Rotary blast-hole drilling rig19x7 rotation resistant / Galv ALow-spin vertical stability under torque
BWR-10944 mm (1.75 in)6 heavy strandsHaul road recovery towing line6x36 IWRC high-grade steel / Galv ASuperior shock absorption for heavy fleets

Ready to optimize your surface mining fleet?

Speak with a Bulker technical sales engineer to select the ideal wire rope specification.

Contact us
Technical brochure

Underground mining

Uncompromising reliability in deep-shaft operations.

Underground mining presents the harshest environments for wire ropes: extreme humidity, acidic run-off, severe multi-layer spooling wear and continuous dynamic cycles. BULKER WIRE ROPES engineered solutions are custom-built to maximize hoist availability, drive operational safety and dramatically lower cost-per-tonne extracted.

Mine shaft cage at the bottom of an underground mine, with miners in safety gear
Mine shaft cage at the shaft bottom

Why Tier-1 mining clients choose BULKER WIRE ROPES

Major underground mining operators globally standardize on Bulker products due to our commitment to structural longevity, structural integrity and custom manufacturing precision.

Dynamic fatigue resistance

Deep-shaft friction winders and drum hoists subject wire to relentless reverse bending cycles. Bulker's engineered plastic-impregnated cores and compacted strand geometries reduce internal friction by up to 60%, significantly extending bending fatigue life.

Superior crush & impact protection

Multi-layer drum spooling causes severe crushing forces on lower rope layers. Our specialized rotary strand swaging delivers a high fill factor (up to 76%), providing a smooth outer surface that resists cross-over crushing and drum scuffing.

Lowest total cost of ownership (TCO)

While initial purchase price is important, unplanned hoist downtime can cost thousands per hour. Bulker ropes deliver up to 2.5x longer service life compared to standard ropes, drastically cutting maintenance downtime and replacement frequency.

Complete batch traceability & testing

Every reel of Bulker wire rope comes with full EN 10204 3.1 certification, non-destructive electromagnetic inspection (NDT) reports and destructive sample testing to guarantee payload safety in man-riding shafts.

Underground application matrix

CodeApplicationRope constructionKey advantage
BWR-301Koepe / friction hoists8-strand non-rotating compactedHigh torque balance & wear resistance
BWR-302Double drum hoists6-strand plastic layered (EPIW)Resists crushing in multi-layer spooling
BWR-303Slusher & LHD winches6×19 Seale metallic coreMaximum abrasion resistance against rock
BWR-304Guide & balance ropesHalf-locked / full-locked coilSmooth surface, minimal vibration & sway

Engineered protection: Grade A galvanizing technology

Underground mines feature damp, acidic air, saline groundwater and harsh chemical slurry. Standard commercial zinc coatings deteriorate rapidly, leading to undetected micro-pitting and accelerated strand failure. Bulker Wire Ropes uses specialized Grade A hot-dip galvanizing across all mining series.

Heavy coating mass (ISO 2232 / EN 10264-2)

Our Grade A galvanizing applies a dense, uniform zinc layer exceeding 260 g/m² (for standard diameters), which is double the zinc weight of standard commercial ropes (Grade B). This creates a thick sacrificial barrier against corrosive mine water.

Micro-alloyed zinc bond

Through an advanced inline bath process with micro-alloyed elements (zinc-aluminium / rare earth additives), the zinc layer achieves superior mechanical bonding with the high-carbon steel substrate, preventing flaking during sharp bends.

Benefits of Grade A galvanize in underground mine shafts

  • Elimination of internal hydrogen embrittlement: specially controlled acid pickling and thermal annealing during galvanizing prevents micro-cracking under high tension.
  • Synergistic protection with synthetic lubricants: Grade A zinc works in tandem with Bulker's factory-injected pressure lubricants, trapping the protective zinc layer and shielding internal wires from moisture ingress.
  • Smooth surface for electromagnetic testing (NDT): uniform coating thickness prevents false readings during routine shaft safety magnetic flux leakage inspections.

Featured underground product codes

BWR-301

Deep-shaft friction hoist rope

8×26 Warrington Seale + plastic coated core

  • Compact strands for max sheave contact
  • High torque stability under extreme suspension
  • Grade A heavy galvanized finish

BWR-302

Heavy drum shaft hoist rope

6×36 Warrington Seale + solid plastic core

  • Extremely high crushing resistance on drum
  • Polymer cushioning prevents strand friction
  • Ideal for multi-layer fleet angling

BWR-303

Heavy duty slusher & drag rope

6×19 Seale + independent wire rope core (IWRC)

  • Thick outer wires for extreme rock abrasion
  • Grade A zinc shields against mine floor mud
  • High impact shock resistance

BWR-304

Locked coil guide rope

Full-locked Z-shape outer wires

  • Interlocked profile keeps smooth surface
  • Minimizes wear on conveyance slippers
  • Maximum corrosion resistance in shaft drafts

Ready to upgrade your underground shaft reliability?

Contact our underground engineering specialists for custom reel lengths, end terminations and site audit services.

Contact us
Technical product guide

Bucket wheel excavator wire ropes

Engineered for continuous high-tonnage mining, high cyclic fatigue and severe abrasive environments.

Bucket wheel excavators (BWE) represent the pinnacle of continuous surface mining equipment. Downtime on a primary excavator halts the entire material transport chain. Mining conglomerates globally rely on Bulker Wire Ropes because our engineering directly eliminates premature structural failure, wear fatigue and unexpected rope replacement cycles.

Bucket wheel excavator cutting earth face
Bucket wheel excavator: high-capacity boom luffing ropes

Multi-strand ropes

Bucket-wheel excavators (BWE)

Mechanical architecture of rope-luffed BWEs

Unlike hydraulic excavators reliant on heavy cylinders, this system uses high-strength multi-strand steel wire ropes to control the vertical movement of the wheel boom. Ropes travel from the winch system, route over the mast sheaves and connect to the wheel boom tip.

Bucket-wheel excavator diagram: ropes running from the winch system over the mast to the boom tip
Bucket-wheel excavator: rope-luffed boom

Winch & drive configuration

Large electric winches on the superstructure or within the counterweight boom drive the lifting motion through precision control.

Stability & dynamic equilibrium

Wire ropes reduce front deadweight, shifting the centre of gravity closer to the rotation axis; the counterweight boom balances the wheel boom through tension.

Shock absorption

The inherent elasticity of steel wire ropes damps high-impact shock loads and vibrations.

Longer booms

The rope system supports longer boom designs, increasing excavation block height and width and reducing crawler repositioning.

Inspection & safety

Scheduled inspections (broken wires, corrosion, diameter loss, lubrication), magnetic flux leakage (MFL) testing, tension equalization across parallel ropes and redundant hoist brakes.

Proven ROI in continuous open-cast operations

Why operators choose Bulker Wire Ropes

01 Maximized fatigue life

Specialized plastic-infilled core designs absorb dynamic shock loads and prevent internal strand-to-strand friction under heavy bending cycles.

02 Superior abrasion shield

Compacted outer strands present a flattened outer profile, distributing sheave wear over a 40% larger surface area than conventional wire ropes.

03 Grade A galvanic protection

100% heavy zinc coating ensures total resistance against acidic pit waters, aggressive humidity and atmospheric oxidation.

04 Precise diameter stability

Tight manufacturing tolerances minimize fleet angle wear and prevent crushing on multi-layer winch drums during luffing manoeuvres.

Application mapping on BWE systems

Boom hoist / luffing

Requires high fatigue resistance and high breaking force to safely elevate massive bucket wheel booms under varying material loads.

Discharge boom hoist

Demands superior spooling behaviour on smooth and grooved winch drums with zero rotation tendencies under severe dynamic load shocks.

Counterweight tensioning

High structural stability and ultimate resistance against atmospheric corrosion in static/semi-static tension ropes.

Rope integration: BWR-800 series on the main boom hoist, BWR-600 series on the discharge boom and tension ropes.

High-performance BWE wire rope matrix

Technical specifications & product codes

All Bulker wire ropes engineered for BWE applications are designated under the BWR series code system. Below are standard diameters, strand configurations and minimum breaking forces (MBF) calibrated for high-capacity excavators.

CodeNominal dia.Strand constructionCore typeFinish gradeMin. breaking forceUnit weight
BWR-61228 mm6x36 Warrington SealeEPIW (plastic infilled)Grade A galvanized582 kN3.35 kg/m
BWR-61832 mm6x36 Warrington SealeEPIW (plastic infilled)Grade A galvanized760 kN4.38 kg/m
BWR-62538 mm6x41 Filler Wire compactedIWRC (steel core)Grade A galvanized1,080 kN6.18 kg/m
BWR-81042 mm8x26 compacted outer strandsEPIW (plastic infilled)Grade A galvanized1,340 kN7.55 kg/m
BWR-81248 mm8x36 compacted outer strandsIWRC (steel core)Grade A galvanized1,750 kN9.82 kg/m
BWR-82054 mm8x36 swaged heavy dutyEPIW (plastic infilled)Grade A galvanized2,210 kN12.45 kg/m
BWR-83560 mm8x41 compacted high-strengthEPIW (plastic infilled)Grade A galvanized2,730 kN15.30 kg/m
BWR-90064 mm8x47 extra high tensileFull synthetic core shieldGrade A galvanized3,110 kN17.40 kg/m

Bulker Grade A galvanizing technology (EN 10264-2 Class A compliant)

Standard commercial wire ropes feature thin zinc coatings that quickly degrade when subjected to abrasive coal/ore dust and acidic runoff water. Bulker Wire Ropes uses a proprietary Grade A heavy hot-dip galvanization process.

Maximum coating thickness

Zinc mass ranges between 230 g/m² and 290 g/m² depending on wire gauge, offering up to 3x longer corrosion resistance compared to Class B coatings.

High-adhesion zinc bond

Advanced micro-alloying prevents zinc flaking or cracking during high-stress wire compaction and tight bending over sheave grooves.

Strand & core construction spotlight

Compacted outer strands (BWR-800 series)

Individual outer strands are drawn through precision shaping dies to flatten outer crown wires. This reduces localized sheave pressure, improves drum spooling geometry and dramatically lowers internal friction.

EPIW (encapsulated plastic inner wrapper)

A solid polymer layer injected between the steel core and outer strands seals in factory lubricant while permanently excluding abrasive dirt, moisture and fine ore slurry.

Need custom construction matching specific OEM winch drum profiles?

Contact the Bulker engineering team.

Contact us
Technical product sheet

Shore-to-barge transfer systems

Heavy-duty marine solutions.

High-throughput shore-to-barge loading demands exceptional fatigue resistance, continuous shock-load absorption and rigorous marine corrosion protection. BULKER WIRE ROPES engineers specialized steel wire ropes built for continuous duty in harsh marine environments, reducing downtime and lowering total operating cost.

Shore-to-barge material stacker reclaimer system
Shore-to-barge material transfer and positioning system

High-tensile ropes

Shore-to-barge positioning

Mechanics of shore-to-barge cable positioning

Shore-based mobile mining machines (often modified excavators or dozers) or stationary winch stations use high-tensile wire ropes to anchor and manoeuvre floating mining barges. The ropes act as positioning tools: by triangulating the barge's location, operators achieve controlled movement without onboard propulsion, which is prone to failure in sludge or debris-filled waters.

Illustration: mining barge on a pond, held by wire ropes from two winch machines on the banks
Shore-to-barge cable positioning

Dynamic tension control

Shore machines adjust cable tension continuously to counteract wind, water currents and dredging or pumping forces.

Systematic sector sweeping

Coordination between shore machines and barge enables sequential processing of specific sectors.

High-torque viscosity management

In oil sands and aggregate mining, land-based machines provide the torque to drag the barge through media that would stall conventional propellers.

Metallurgical integrity

Ropes constructed to withstand cyclic loading, abrasive wear from grit and corrosion in acidic mining waters.

Snap-back prevention

Continuous monitoring of cable tension and fleet angles to prevent rope failure and snap-back.

Shore-to-barge product range

BWR-445

44 mm standard marine

Strand count
5 strands
Core
Independent wire rope core (IWRC)
Primary size
44 mm
All diameters
28, 32, 36, 38, 40, 42, 44, 46 mm
Application
Shore loading and winching, boom hoists and barge positioners.

BWR-546

54 mm heavy duty

Strand count
6 strands
Core
Full steel structural core
Primary size
54 mm
All diameters
48, 50, 52, 54, 56, 58 mm
Application
High-speed bulk loader hoists, heavy luffing systems, offshore transfer.

BWR-606 New

60 mm flagship heavy

Strand count
6 strands
Core
Reinforced high-tension IWRC
Primary size
60 mm
All diameters
60, 62, 64, 68, 72 mm
Application
Ultra-heavy capacity shore loaders, extreme wave-action environments.

Technical specifications & diameter matrix

Product codePrimary sizeStrand config.All available diameters (mm)Coating gradeBreaking load (primary size)Primary usage
BWR-44544 mm5 strands28, 32, 36, 38, 40, 42, 44, 46Class A heavy galv.1,280 kNShore loading and winching
BWR-54654 mm6 strands48, 50, 52, 54, 56, 58Class A heavy galv.1,940 kNHeavy bulk material handling
BWR-606 New60 mm6 strands60, 62, 64, 68, 72Class A heavy galv.2,410 kNUltra-capacity marine loading

Maximum zinc mass coating for saltwater endurance

Superior corrosion protection: Grade A galvanizing

All BULKER shore-to-barge wire ropes are manufactured exclusively using heavy Grade A hot-dip galvanization compliant with ISO 2232 / EN 10264-2 requirements. By applying a high-density, pure zinc layer thoroughly bonded to each individual wire, our ropes provide up to 2.5x longer service life against saltwater spray, atmospheric humidity and splash-zone oxidation compared to standard commercial coatings.

Why industry leaders choose BULKER WIRE ROPES

  • Engineered for dynamic fatigue resistance: purpose-built lay geometry ensures smooth spooling on multi-layer drums and reduces bending stress over sheaves during constant wave-action movement.
  • Proven total cost reduction: higher fatigue life and the Grade A anti-corrosion layer dramatically decrease rope replacement frequency and unscheduled berth downtime.
  • Full traceability & certification: every reel of BWR rope ships with 100% material test certificates, mill inspection [TO PROVIDE: end of the sentence, cut off in the PDF].