Archive for the ‘ Toolbox ’ Category

Properties of Hollow Circles

Properties of Hollow Circles

Area and Centroid

Properties of Hollow Circles: Area Equation

Properties of Hollow Circles: Y-Centroid

Moments of Inertia

Properties of Hollow Circles: Moments of Inertia

Radii of Gyration

Properties of Hollow Circles: Radii of Gyration

Reliability Engineer Job Description

Failure RatesSimilar to the generic job description for a maintenance engineer, here is a template for a reliability engineer (or manager) paraphrased from Making Common Sense Common Practice: Models for Manufacturing Excellence. In MBM terms, these would be the responsibilities and expectations for the role of reliability engineer.

  • Loss Accounting [Use existing databases to perform Pareto analysis and follow up to improve results. Since everything can't be done at once, this item is the foundation for prioritizing all others.]
  • Root Cause Failure Analysis (RCFA) [Perform and/or facilitate RCFA and prospective solutions based on RCFA.]
  • Managing the Results of Condition Monitoring Functions [Ensure quality data is being collected and that condition-monitoring technology is applied and used in an integrated way.]
  • Overhaul/Shutdown Support [Review equipment condition to ensure the right work, and only the right work, is performed. Commission equipment during startup using applicable technologies.]
  • Proactive Support [Working with all other departments to ensure good practices in design, purchasing, maintenance, stores, and operation.]
  • Facilitator/Communicator [Deal with gray areas where responsibilities are shared by two or more groups. Find and implement solutions while avoiding finger-pointing.]

Why Your Unit Production Costs Are Too High

Minimum and Total Cost of ProductionThere is an absolute minimum cost associated with any unit. This cost is equal to the per-unit sum of:

  • labor costs with zero wasted time
  • material costs with zero scrap, rework, or recycle
  • energy costs is the most efficient available technology
  • maintenance costs associated with proper preventive maintenance, lubrication, and appropriate scheduled replacements of wear items

Fixed costs (overhead) is not considered for this analysis: only variable costs.

Your total unit cost is equal to the minimum cost plus all associated waste:

  • design problems that cause downtime, excessive maintenance, or are less efficient that they could be in terms of labor, energy, and material required
  • purchasing problems such as excessive MRO inventory, or attempts to reduce costs by buying inferior parts and materials
  • storage problems such as storing parts outdoors that cause infant mortality
  • installation problems such as not using proper tensioning procedures or inadequate alignment tolerances that cause premature equipment failure
  • operation problems such as running equipment outside its designed context
  • maintenance problems such as too much maintenance, too little maintenance, or inadequate attention to detail

Overall Equipment Effectiveness (OEE) and Other Operations Metrics

Overall Equipment Effectiveness: Uptime, Quality, SpeedIf a manufacturing facility has immature processes and systems, one tends to see a lot of emphasis on total production or equipment uptime. More mature facilities will have a broader perspective including safety, reliability, quality, etc. along with production.

One best-practice metric for manufacturing lines is Overall Equipment Effectiveness (OEE), which is the product of

  • availability: uptime within the line’s control,
  • quality: percent good product, and
  • production rate as a percentage of ideal (or best proven) rate.

One advantage (depending on your perspective) of OEE is that problems are tough to hide. You can’t slow the machine down to improve uptime and expect to get away with it. You can’t slack on quality in order to improve rates. Any production problem will ultimately show up in OEE numbers.

OEE and Other Operating Metrics

There are many variations on operations metrics, but if you have the capability to measure OEE, you can learn from looking at other factors as well.

OEE can be seen in the context of many operational metrics in the diagram below. Definitions follow.

Operations Metrics: Utilization, OEE, Quality, Rate, Availability

  • Asset Utilization: % of ideal operating rate achieved. Would typically be used by business management, not operators, due to effect of market demand, which is mostly outside of their control.
  • OEE: asset utilization plus market losses. By adding market losses back into utilization, certain forces beyond the control of operators and maintenance employees are backed out. Therefore, OEE will be meaningful to a wide variety of operations, maintenance, and planning employees.
  • Quality Utilization: OEE plus changeover losses. Backing out changeover losses yields a metrics that considers downtime, production rate losses, and quality losses. Since retooling and changeovers are not considered, quality utilization is a measure of steady-state operations efficiency. If there are frequent changeovers, this will not impact quality utilization.
  • Potential Rate Utilization: Quality utilization plus quality losses. Backing out quality losses measures only downtime and production rate losses. This metric has limited application, but might be used if systems to measure quality defects are not in place.
  • Asset Availability: Potential rate utilization plus production rate losses. By subtracting only downtime (both scheduled and unscheduled), asset availability shows how much the equipment was available for production. This metric is commonly used as a measure of reliability.

Steps to Measure OEE

  1. Select system boundaries. Managers need to clearly what lies within the responsibility of their areas.
  2. Define the output. For the sake of calculating OEE, inputs do not need to be known. Therefore, wasted energy, materials, and labor do not factor into OEE. If there are multiple outputs that can not be consolidated, then there will be more than one OEE number.
  3. Decide on loss subcategories. There are always three categories: downtime, rate reductions, and quality defects. In the example below, downtime is split into changeover time, scheduled downtime, and unscheduled downtime. Process rate and quality issues are not subdivided.  Depending upon the situation, management might want to split the “due to”s differently. Losses of any kind might be allocated to internal or external causes. Scheduled operator breaks might get its own category. It’s up to the management team to decide what is most useful and informative.
  4. Record losses. Record and track the data.
  5. Calculate metrics. As the data begins coming in, compile operational metrics on a daily, weekly, monthly, or other time basis.
  6. Benchmark. A world-class facility is supposed to be around 95% OEE. Where do your assets stack up?
  7. Improve. This is the most important step. Use the data to create a Pareto chart of operational losses and fix the problems.

Example Calculation

Widget, Inc.’s B line produced 1274 widgets in one day. Due to a lack of demand B line was only scheduled for one 12-hour shift. A lot of 75 widgets was found to be defective. Ideally, 200 widgets per hour are produced.

The shift log shows that 2.55 hours were down for scheduled breaks and a planned repair. 45 minutes down was caused by an unexpected actuator jam. 1.12 hours were used to change the size of the widgets being produced.

In the following table standard Excel cell formats are used: Standard Input Cell Format for input cells and Standard Output Cell Format for output cells. Calculated values are explained below.

Example Operations Metrics Calculations: Utilization, OEE, Availability

Initial Calculations

  •  Actual Production Rate = (Total Units Produced) / (Running Hours)
  • Process Rate Loss = (Ideal – Actual Production Rates) / (Ideal Production Rate)
  • Quality Losses = (Defective Units Produced) / (Total Units Produced)
  • Nonrunning Hours = Sum of Downtime Losses
  • Demand Hours = 24 – (No Demand Downtime)
  • Running Hours = 24 – (Nonrunning Hours)

Calculated Losses

  • Downtime Losses are calculated as hours down divided by the relevant time period, which is either 24 hours or Demand Hours.
  • Rate and Quality Losses are equal to the given percentage times running hours divided by the relevant time period.

Calculated Operations Metrics

Operations metrics are calculated as described above using the given numbers.

Plotting Losses

The losses in the example can also be plotted to show the relative impact of each loss type. A waterfall chart based on both 24 hours and demand hours would look like this:

Example Production Losses

Challenges in Measuring OEE

  1. Recordkeeping. OEE requires that all losses be recorded and correctly allocated. Depending on the complexity of the process, automated systems can help, but employees may need some convincing that correctly allocated losses will not simply become a stick to beat them with. The emphasis has to be on improving, not on placing blame. Once a system is in place, operators must be accountable for complete and accurate records.
  2. Subdividing Categories. Too many loss subcategories creates confusion. Too few subcategories makes data interpretation difficult. Dividing the loss types into categories should be done based on need.
  3. Analysis Not Performed. Data collection is a means, not an end. If the data is not used to set priorities and drive decisions, then it is wasted effort.

First Solve the Obvious Problems

This figure shows one strategy for improving operations and maintenance reliability: first, solve obvious problems, then proceed to standardization, and lastly look to continuous improvement methods.

Journey to Six Sigma: Fix Problems, Standardize Procedures, Perfect Processes

Ordering improvements in this manner has several advantages:

  1. Credibility is gained for the efforts in the eyes of operators and mechanics, who are then more likely to participate and support further improvement efforts.
  2. Standardization of tasks in the form of procedures institutionalizes best practices and spreads knowledge. Henry Ford’s take on standardization is the one to adopt here.
  3. You can’t improve a procedure if the procedure is not followed. Once procedures are in place and respected as helpful and informative, they can be systematically improved.

One method I’ve seen employed successfully is after a morning safety meeting, the supervisor hands a procedure to a millwright to read aloud. Then the supervisor asks “what’s missing?” As millwrights give feedback about the procedure, the supervisor writes it down and passes it along to the planners. The planner then adds missing steps and specifications and updates the plan in the system.

Single Point Lesson: Impact of Emissivity on Infrared Thermometers

What is Emissivity?

Emissivity is the relative ability of a surface to emit energy by radiation and varies in value between 0 and 1.

In general, the duller and blacker the surface, the closer its emissivity is to 1.

Emissivity Scale

Why Does Emissivity Matter to Me?

Different surfaces have different emissivity values, and these values impact the instruments we use to take temperatures. If the emissivity value is not set correctly on infrared thermometers for the surface being measured, then they will display incorrect temperatures.

What Do I Need to Do About It?

If you take a temperature that seems high while using an infrared thermometer, check the emissivity setting on the thermometer as shown in the figure below. The value should be set to 0.95 for most normal rounds.

To adjust emissivity, repeatedly press the MODE button while the display is on HOLD until the emissivity symbol blinks. Then use the arrow keys to set the value to 0.95.

Emissivity Setting

What Are Typical Emissivities?

Typical values for selected surfaces are:

Clean Snow: 0.83

Soil: 0.92 to 0.96

Brick: 0.93 to 0.96

Black rubber: 0.94

Powdered Charcoal: 0.96

Human Skin: 0.98

How Do I Measure a Shiny Surface?

If you must use an infrared thermometer to measure the temperature of a low-emissivity surface (such as clean copper piping or a stainless tank), cover the surface with a flat black paint beforehand. Raising the emissivity of the surface in this manner is generally easier than precisely measuring the original emissivity.

However, the best tool for low-emissivity surfaces is a contact probe.

Properties of I-Beams (Wide-Flange Beam Sections with Equal Flanges)

Wide-Flange Section Geometry

Area and Centroid

Equation: Wide-Flange Section Area

Equation: Wide-Flange Section Geometric Center, X-Axis

Equation: Wide-Flange Section Geometric Center, Y-Axis

Moments of Inertia

Equation: Wide-Flange Section Moment of Inertia, X-Axis

Equation: Wide-Flange Section Moment of Inertia, Y-Axis

Radii of Gyration

Equation: Wide-Flange Section Radius of Gyration, X-Axis

Equation: Wide-Flange Section Radius of Gyration, Y-Axis

Properties of Channel Sections

Channel Section Geometry

Area and Centroid

Equation: Channel Section Area

Equation: Channel Section Geometric Center, X Coordinate

Equation: Channel Section Geometric Center, Y Coordinate

Moments of Inertia

Equation: Channel Section Moment of Inertia, X Axis

Equation: Channel Section Moment of Inertia, Y Axis

Radii of Gyration

Equation: Channel Section Radius of Gyration, X Axis

Equation: Channel Section Radius of Gyration, Y Axis

Properties of Tee Sections

Tee Section Geometry

Area and Centroid

Equation: Tee Section Area

Equation: Tee Section Geometric Center, X Coordinate

Equation: Tee Section Geometric Center, Y Coordinate

Moments of Inertia

Equation: Tee Section Moment of Inertia, X Axis

Equation: Tee Section Moment of Inertia, Y Axis

Radii of Gyration

Equation: Tee Section Radius of Gyration, X Axis

Equation: Tee Section Radius of Gyration, Y Axis

How to Set up Excel 2007 Commands for Quick Cause Mapping

To use the most frequently-accessed Excel 2007 functions for cause mapping—such as elbow connectors and object selection—customize the quick access toolbar bar as shown (click for full size):

Excel 2007 Command Setup for Excel 2007