Rather than basing structures conventional or arbitrary shapes.
Dr. Anderson teaches clients to design structures to match all the
load paths with each element optimized sized to the load on each
path, thus resulting in a structure with the lowest weight, material
usage, cost, and build time.
Although most of the generic examples on this page replace
welded orthogonal frames,
Dr. Anderson has also created 3D models to replace welded sheet-metal frames,
large welded gimbals, channels, and I-beams
He has also done workshops to replace frames made of welded plates, welded
tubes, and castings.
REPLACEMENT FRAMES FOR MACHINES, COMMERCIAL VEHICLES, AND
How to design low-cost
replacement frames for substantial cost savings now on existing products
and/or base next generation products on these low-cost parts..
Text and illustrations Copyright © 2018 by David M. Anderson
Case Study Example # 1: Low-Cost
machine frame can be bolted together rigidly and precisely from parts
fabricated on ordinary CNC machine tools.
The nodes (at the
corners) would be CNC fabricated blocks through which bolts connect their struts
and mounts for all machinery components that need to be anchored in that area.
The outer edges of a
rectangle frame are made of machined rectangular tubing, to which covers or
doors could be easily attached to.
Interior components and
sub-frames would be supported by struts coming from the he main frame nodes
discussed below and triangulated to other existing nodes.
It is important to note
that such a frame replaces both the existing frame and all the
existing brackets to support components and sub-frames,
This eliminates all the problems of welded
frames: skill demands, warpage, and post-weld machining on a mega-machine big
enough to machine all mounting holes into a warped frame. One ten foot
cube semiconductor fab machine frame has to do this twice!
Case Study Example # 2: Low-Cost Machine
Frame to Support an Object or Machinery
The low-cost machine frame concept shown bolts to
the existing framework of the supported object or machinery either directly
through adapter blocks, shown on each corner of the grey framework.
This truss is built as shown and
the trusswork is a fully triangulated space frame that mounts to the
floor on three points to install and align quickly and avoid the
overconstraints common in all four-point frame mounts. This truss
frame could be backward compatible with an existing four-point mounting
arrangement, with one new floor mount. If the supported object can be
supported by three mounts, then the frame would be the simpler
octahedron, as illustrated below in the comparison to a square welded frame.
Case Study # 3 Example: Commercial vehicle frames. These
principles could apply to "work vehicles" whose frames have to support heavy
loads, like engine/transmission units for work trucks, engine/generator units for
locomotives or portable power plants, buckets or dump bodies for earth-moving
equipment, combines, engines for farm equipment, or the loads for
heavy-haul trucks or trailers.
The illustration compares the typical heavy, expensive flat frames with light,
inexpensive truss framework: The typical flat frames (shown on top) may be
supported by I-Beams or channels (in the case of Semi-trucks) that would
have to be very heavy to support heavy loads in the middle of long
frames, especially if they were only a few inches high. Welded frames
could be thicker, but at a high cost for steel and skilled labor; for instance, one
wheel-loader frame is made from 300 pieces welded together to form the
two pivoting frames (a 3D CAD model of a low-cost replacement is available on
For large trucks, there are so many weight saving
opportunities because the thickness of a channel frame is
determined by the loads around the bolt holes, but since the channel plate
must have constant thickness, most of this steel is "loafing" and thus much
heavier than necessary.
LOAD PATH STRATEGY FOR STRUCTURES OF LEAST WEIGHT AND
The Better Way. This applies to all opportunities,
but will be discussed in the context of the pair of drawings above. In the
simplified truss beam example shown in the lower illustration (above), the truss
struts follow the “load paths” for the most efficient structure possible,
meaning the lowest weight, and cost, possible for a given load. The design approach is
described next. Easy manufacturing processes are described further
Specifically, the approach would be to replace the usual heavy channels or
welded frames with a 3-D truss, consisting of
struts and nodes, as described below. Struts would be sized for their
specific loads, as shown in the drawing where the longer struts have a greater
Development time can be quick because the struts cross-sections can be specified
thicker for prototypes and early evaluations with detailed stress analysis
following to reduce weight and material usage for production units.
The truss would provide the lightest possible frame for a given strength because
its struts would align with all the load paths between axle mounts (shown by
half-round cylinders in both drawings). engine/transmission mounts, fifth wheel
mounts, cab/body/bed mounts, piston pivots, tank mounts, dumping bodies, and
everything else that mounts to a truck frame. The nodes would be placed at all of
these mounting locations and the struts would connect them, even if they are not
co-planar. This would eliminating all the separate brackets now needed to do
this ( One long-time engineer at Freightliner called it a "bracket company"
because different brands of purchased components needed different brackets).
CNC machine tools would fabricate all the nodes from bar stock blocks with all
the holes and mounting surfaces needed for struts and mounted parts,
which could be automatically
for different engines and axles.
Backward compatible "drop in" replacements
In all applications, the low-cost
truss frame replacement would be backward compatible and designed to "drop in"
current product, thus providing cost, steel, and weight reduction now and then
the design work would become the foundation for next generation designs.
truss would follow the load paths, it would be the lightest possible structure
for a given strength, called a constant-stress structure with no excess
material that is 'loafing."
Most of the workshops that Dr. Anderson has done were
for big structures with big loads, like the underground mining front-loaders for
Caterpillar, four-axle missile trailers for Italy's Finmeccanica’s DRS division
in the U.S., and many large machine frames, like the first two CAD models above.
Clients that held these workshops, or the consulting equivalent, are indicated
by blue hyperlinks to this page at the client list page.
Since the low-cost manufacturable replacements can be designed to be
back-ward compatible with expensive versions, this offers the following
It can providing near-term cost reduction without spending the
cost, resources, and calendar time for a new product development cycle.
The design can then becoming the basis for a next-generation development.
This one-day workshop applies very effective DFM principles to
large, heavy, or hard-to-build parts for major reduction in cost, material usage, and
build time. These improved designs could then be retrofitted onto current
products or used as a basis for new designs.
The workshop will show how to develop backward-compatible substitutes that will
replace expensive weldments, castings, or unnecessarily heavy machined parts with
more steel-efficient parts comprised of assemblies of CNC-machined parts that are rigidly
and precisely assembled by various DFM techniques.
Such a manufacturable structure could be based on assembled
plates or, for larger structures, look like the illustrations on this page, which will be
described below in the discussion of trusses that follow the load paths for the
highest strength per weight ratio.
Major Cost Reduction for Welded
Dr. Anderson is in a unique position
to facilitate workshop trade-offs between welding and machining, having owned
three welders and his own machine shop.
The most applicable large welded assemblies should be analyzed for
opportunities at the conceptual level with the goal of avoiding the following
high-skill labor cost to weld plus other labor to position,
fixture, straighten warpage, and grind. Skilled labor shortages raise
costs and can delay production and lower quality. Note that welding acute angles (e.g. in welded trusses or diagonal bracing) requires extra
skill to get enough heat between diverging members. For military and
mission-critical applications, these kind of welds require a special
• high steel usage and cost at a time when steel prices
are rising and will continue to rise for raw material and transportation
costs both for incoming materials and outgoing products.
cost and delays for annealing the weldments
or the risk of fractures from residual stresses.
• the imprecise
and labor intensive practice of mounting parts in slots or large holes and
then aligning them manually, or
• machining large parts after welding, which may
require large, expensive machine tools and furnaces to anneal them, which:
• loss of strength in the heat affected zone from welding and
annealing, thus requiring more steel compared to steel used at its full
strategy would be to
proven parts with backwards compatible replacements with the same
functionality and strength (possibly enhanced) with much less total cost and
would provide cost reduction now on existing products. This would also encourage
a leap-frog strategy where these low-cost parts could then become the
basis for new generation products.
The specific strategy to eliminate the abovementioned costs would be to
create an optimized concept/architecture for constant-stress trusses and
structures (which, by definition, use the least material) with the following
The approach would be based on the following premises:
Fabrication. All machined parts would be small enough to be set up
and made quickly on readily-available CNC machine tools in a single setup
(Guideline P14 in the
DFM book, which specifies that all operations should be
done in one setup on versatile CNC machine tools).
parts would be limited to those that are small enough to be machined after welding by the typical in-house machine tools. This
may be appropriate for bearing blocks and other junction parts if not feasible
to machine from a single block.
Assembly. Precise alignment of
these assembled pieces would be assured by the programmable part manufacture.
Mass Customized Tooling. Dr. Anderson has
written two books
on mass customization, and had experience designing flexible tooling as
Manager of Flexible Manufacturing at Intel's Systems Group and his own
Anderson Automation, Inc. Based on all this, his workshops show how to
design flexible processes that can programmably offer variety with less cost,
time, space, weight, and material usage.
The general principles of mass
customizing process design are summarized on the web article shows flexible processes for electronics
(Figure 1) and flexible processes for fabricated products (Figure 2) at
http://www.build-to-order-consulting.com/mc.htm . Another big
benefit of flexible tooling is that it enables spec changes or
customer-induced changes to be implemented faster than with inflexible
designs built in hard tooling, thus keeping them off the critical
Steps for Reducing Cost on Large
Parts and Assemblies:
• Identify existing loads,
directions, and attachment points, which would then be graphically represented.
In a workshop setting, these could be projected from a active CAD screen or printed on several sheets of large paper
with dark lines for the next step.
• Brainstorm on various ways to
support these loads, with many ideas sketched on many printouts.
optimize the design of these parts for manufacturability and currently
engineered manufacturing strategies for trusses, assembling plates and bar
stock, and "space frames."
Trusses consist of struts and nodes:
Struts. Purely tension members could be made of rods; compression struts
must be wide and axisymmetric with the load path to resist buckling. This favors
tubing with threaded holes at the end to bolt to the node blocks. Very thick-wall
tubing could be plugged with threaded disks that could be joined to the tubing
with a low-heat axisymmetric weld. For smaller thick-wall thickness, a clean,
inexpensive strut could be made by swagging down the ends to just past the tap
diameter for tapping threads that could then be bolted to the node blocks.
Swagged tubes are shown in the illustration below (in grey), which can be inexpensively
procured from a swagging shop. In one application, a swaged tube cost $40
for a 25 inch long tube, 2.5" OD, with an 1/8" wall that that included
drilling-and-taping and facing off for a precision length (wall thickness can go
up to 1/4" and higher). The swagged struts can be made quite large
and strong, as was pursued in workshops for Caterpillar's underground coal
mining front loaders
four-axle trailers and other workshops indicated by the blue hyperlinks
on the client page. In workshop exercises, Dr. Anderson leads a
company team to brainstorm on many concepts for struts-and-nodes to support all
the hardware in a frame or structure.
The nodes would have bolt holes for
the struts and all hardware that bolts to the structure.
Node Blocks. Each node block would be designed and dimensioned so that
all operations for node attachments would be made in one setup (Guideline P14)
on an ordinary CNC machine tool. Families of similar parts could be
flexible fixtures that would be able to make all parts in the family
without setup delays and extra cost. The illustrations below show spherical
nodes (in red) for clarity. Actual nodes would each be milled out of bar
stock using various DFM design techniques to attach the struts and all the
hardware that needs to be supported. Dr.
Anderson helps companies design these through on-site consulting after the
workshop and through remote consulting and design studies.
Comparisons with welded cubes. The usual orthogonal
welded frame (like the one on the right) needs much skilled labor to weld, which
results in a warped structure that must have holes drilled after welding
on an expensive mega-machine for large structures. Plus all 8 corners
would have to be ground for appearance or sanitation. And this is
diagonal bracing, which would require 6 more braces and 12 more welds, all of
which will induce residual stresses that will reduce the load capacity or
require more material.
By contrast, the truss (on the left) has all
parts machined automatically on ordinary CNC machine tools. The
struts are assembled to 6 nodes precisely and rigidly by unskilled labor.
The simplest truss, the octahedron, is shown, although trusses can be
designed to accept any geometries of mating attachments, like existing
rectangular objects, as shown above.
For mounting loads, orthogonal frames, like
the one shown on the right, usually need many extra brackets to attach hardware
to the frame.
With trusses, the nodes also
all the mounts for all the mounted hardware, since all the struts and
nodes can be uniquely fabricated (this is called
mass customization) so
that a node is next to every
hardware mount. Trusses have inherent diagonal bracing and can support loads
without any warpage, overconstraints, or residual stresses.
Case Study #4 example: Low-cost Backhoe Boom
Replacement for Weldment
The low-cost assembly (upper CAD model) replaces the heavy welded boom (lower
The assembled replacement is a truss, which is the lightest structure for
a needed strength, so it uses a fraction of the steel, and material cost,
compared to a structure made of heavy plate. The truss is built automatically on
ordinary CNC machine tools and assembled by non-skilled labor. Note that the heavy load exerted by the boom piston is connected
to the thick "elbow" structure with the load supported at the ends of two
tetrahedrons. This CAD model and more machine frames below were drawn
by Dr. David M. Anderson, copyright © 2018. He
also has to-scale CAD models for other layouts, like front and rear wheel
loader frames, which he will work exclusive with the first mover to
The conventional design in the photo is made by welding many large heavy plates,
which has high skill demands and weakens the steel in the heat-affected-zone.
In order to provide accurate mounting holes and surfaces, which is essential for
industrial machinery frames, the warped weldment must be machined on an
expensive mega-machine with very high hourly costs for positioning,
machining, repositioning, and inspections, not to mention transportation and
MORE EXAMPLES AND CONCEPTS
Truss Frame with Bearing Mounts for Shaft.
© 2018 by Dr. David M. Anderson.
Two "tripods" can be bolted to any truss (in
this case, the above octahedron) to mount other structures like mount bearing
blocks to rigidly support machine shafts, axles, pivots, or any rotating
members. The bearing blocks have bearing mount surfaces bored and reamed
and also tapped holes on the outer surface on which to bolt the struts.
The tripod mounts result in fully triangulated
rigidity and is much stronger per weight than the usual techniques us using
heavy plates or weldments to mount bearings
If a single structural mount was needed, one tripod could be
utilized with an appropriate mounting surface.
Any subassembly could be bolted to any side
or multiple sides of any basic truss frame for functionality, for instance,
bearing blocks, in any plane.
The Catenary Truss. Structurally,
the catenary truss is the ideal beam because the catenary shape matches
the load curve for beams that are supported at the ends, thus providing the
greatest strength for the least material, the lightest weight, and the lowest
cost. This type of truss is utilized in the most advanced bridges
The inverse of this is a suspension bridge in which the catenary
is a long cable with smaller cables connected to the bridge surface.
Catenary trusses, as shown below, can be utilized as cost-efficient frame work
that need to support weights (loads) over challenging distances, especially for
sub-frames that need to be light for accelerations. This may be the best design
approach for long beams like large machinery or frames for the lightest railroad
Like all trusses discussed above, all the parts can be built automatically on
ordinary CNC machine tools. assembled by non-skilled labor, and retain
neat treatments or cold-rolled strength of the raw materials.
This illustration shows a physical model, which can produce many ideas
quickly and can be passed around in meetings.. These model parts are made
by ZomeTool, which was designed by PhD mathematicians for molecular
biologists and structural engineers in addition to being widely available as
In this model, the red spheres (like in the above CAD models) represent the nodes that
connect the struts and are also the mounting blocks for objects. The black
spheres support the ends of the beam and anchor it.
Next Example: The Zig-Zag Truss for Long Structures. Similar
techniques can be used to create a
"zig-zag (Warren) truss for booms, masts or
Additional truss members in a perpendicular plane can provide
lateral stiffness. Similarly, three strut columns could provide lateral and torsional stiffness. These will be the lightest and strongest structures
possible without the cost, excess steel, and difficult machining of long
channels/bar-stock and without the warpage, distortion, imprecise hole
locations, and skill demands of welded trusses.
The results would
be much lower cost from:
• quick machining on readily-available CNC machine tools
setup concurrently engineered for whole part families to
further reduce machine time
• quick assembly with accuracy assured by
programmably machined features
• higher strength per weight (meaning
higher strength per material cost) because of:
• more structurally efficient designs (lower stresses to
support a given applied load)
• all material would remain at
cold-rolled strength and heat-treated strengths could be preserved
These truss structures
would provide the absolute lowest weight for a needed strength.
For fabricated parts now made of excessively thick steel, the workshop group
would start by identifying the loads and load paths. Then we conceive of
structural shapes that match the load paths, which will probably not be a constant
cross-section slab that has a lot of under-stressed material that leads to
unnecessary cost and weight. Then we brainstorm on optimal assemblies of
CNC-machined parts whose cross-sections are matched to the load, thus
approaching constant-stress parts, which have the highest strength per
weight. This would be accurately and rigidly assembled by various DFM techniques
in which the precision is entirely determined automatically by the CNC machines.
These techniques include DFM
Guideline A3, in which mating parts would be aligned to sub-mill
tolerances by inexpensive pairs of round and diamond dowel pins in reamed
holes. Parts could be designed to be self-fixturing or simple fixtures could
be concurrently engineered to hold parts during alignment and clamp together
for fastening. Aligned parts would
then be bolted/riveted together with appropriate bolt strength, torque settings,
and retention strategies.
Reduction for Large Cast Parts
Cast parts require expensive tooling and lengthy and costly setups, which
usual force the OEM to order a large batch to amortize the setup costs,
but this violates lean production principles and makes it hard to do build to
large or complex castings, there may be a limited supplier base who can cast
them, thus increasing transportation costs, shipping delays, and possibly queues
for busy suppliers. For example, for a certain size of large Diesel engine
blocks, there are only two suppliers in the world who can make them.
Further, castings all require machining, which may require an expensive
mega-machines for large castings, which may also incur lengthy setups,
queues, and delays to ship large castings to shops with mega-machines.
The workshop group
would start by identifying the loads and load paths. Then we conceive of
structural shapes that match the load paths. Then we brainstorm on optimal
assemblies of CNC-machined plates whose cross-sections are matched to the load, thus
approaching constant-stress parts, which have the highest strength per
weight. This would be accurately and rigidly assembled by various DFM techniques,
like Guideline A3 mentioned above.
The above techniques could replace many
hard-to-make large parts and fasten multi-part assemblies.
The group would explore some of the most promising
opportunities in the workshop to the point where they look feasible and it is
clear how to proceed at which point responsibility could be assigned to pursue
The group would also identify future opportunities to
be explored later based on pre-workshop research that will have identified some
opportunities. Opportunities will be summarized and then the workshop group will
vote on them for a baseline prioritization of opportunities.
Pre-workshop company research
should also plot steel cost from the time current
products were designed and extrapolate price trends into the future.
Audience. Product development team with all designated and potential
members, with at least one person representing each function and one person
knowledgeable about each proposed candidate structure. The workshop would
benefit from close proximity to the physical structures being analyzed.
Prerequisite: workshop attendees should attend the
two-day DFM seminar first. Work could
proceed immediately with design studies (next point), which could be followed by
an in-house seminar or webinar.
Alternative: Consulting Design Studies
An alternative would be ask Dr.
Anderson to do the above as a
on a consulting basis, working with relevant design engineers. The
joint effort would present the most promising approaches for the company to
evaluate, select, and implement. Dr. Anderson is particularly effective for
complex parts that could benefit from more manufacturable design concepts and
concurrently engineered low-cost tooling and processing. He is in a unique
position to do machining/welding tradeoffs, since he once had his own machine
shop and has done welding since his college years.
He also has to-scale
CAD models for other layouts, like front and rear wheel loader frames, on
which he will work exclusive with the first mover to
contact him. Because of his
ethics code (from the Institute of Management Consultants) he will avoid
conflicts-of-interest by not working with direct competitors, so that means
first-come-first-serve for enlisting his considerable experience on these
techniques that he originated. See client engagements that included this
Steel/Cost Reduction workshop, as indicated by blue hyperlinks on his
Workshops Done and Proposed:
Dr. Anderson has already done workshops for low-cost
frames for: underground coal mining vehicles; four-axle trailers for heavy
loads; large paper converting machinery; 12' high box-makers; dock-scale natural
gas compressors; fuel-cell back generator port block; framework for large ASRS
warehouse; low-cost joints in a 400' long window glass vacuum chamber; cabinetry
strategy to accept off-the-shelf enclosure modules; and nuclear plant worst-case scenario filters.
Dr. Anderson has personally done both
welding and owned his own machine shop, and, thus, is a good position to advise
on tradeoffs between welding and machining. See sixth paragraph of his
He has proposed this workshop or consulting
Many low-cost frame and structures for industrial machinery
(like CAD model above)
Molding machinery foundations (CAD model available)
Large medical equipment gimbals (CAD model available)
Very large dump-trucks chasses
Wheel-loader (wheeled front loader) (CAD model available)
framework for farm machinery
Mobile distributed) power plant chasses
Diesel engine blocks (concept sketch available)
Long-span structures that support heavy loads, like railroad
cars and locomotive chasses (physical model available)
Light-weight long-span structures for high-speed motion
(physical model available)
Lighter weight airplane structures to support concentrated
loads like engines and landing-gear.
If your company makes any products
that have similar opportunities, contact Dr. Anderson for your own proposal for
workshops or design studies that will show you how greatly lower the cost of
your hardest-to-design parts. As a Certified Management Consultant (CMC),
Dr. Anderson's high ethical standards
prevent him from doing this for direct competitors, which means the first
to bring him in gets a unique competitive advantage.
To discuss this further, contact:
Dr. David M. Anderson, P.E.; CMC; Fellow, ASME
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Copyright © 2018 by David M. Anderson