This module has been created for use in a statics course as a case study to show the need for engineers to take a holistic view of their projects, especially where safety is involved. The ladder case study should follow a block of instruction which develops concepts of dry friction. It is ideal for presentation after an examination review when the students can relax without concern for homework requirements. A lecture outline is presented that discusses the basic rules of ladder safety and design. A three part example is also featured.
Time for presentation is estimated as 40 minutes.
Objective:
1. To introduce engineering students to safety aspects in design.
2. To increase awareness of basic ladder safety and design associated with ladder use.
This
packet includes the following items:
·
Preview
the Lecture
material for the instructor
·
Preview
the Overheads for use during the lecture
· Preview the Ladder Example Problems
Copies of the case study may be made to give to the students if the instructor desires.
Download the full Ladder Safety Module in printable Adobe Acrobat Format (pdf). This includes overheads in a ready to use format.
The Five Rules of Ladder Safety (OVERHEAD 1)
According to the National Safety Council, falls are the leading cause of
death in and around the home.
Over 6000 people die from falls at home each year.
These accidents include slipping on wet or icy surfaces, falling down
stairs, falling off the roof, and falling from ladders.
More than 30,000 people are injured each year by falls involving
ladders.
Many of these accidents can be prevented by following the five rules of
ladder safety.
There are five basic rules that should be followed when using a ladder.
(OVERHEAD 2) They
are:
RULE 1: Select the right ladder for the job.
RULE 2: Inspect the ladder before you use it.
RULE 3: Set up the ladder with care.
RULE 4: Climb and descend ladders cautiously.
RULE 5: Use common sense when working on a ladder.
Engineers can design ladders to be inherently safer, thereby reducing the risk of injury to ladder users.
(OVERHEAD
3)
The ladders should be constructed of appropriate material for the
application for which the ladder will be used.
Ladders can be manufactured from wood, aluminum, or fiberglass, and be
designed for light to industrial use.
Be sure the ladder is long enough for the application and sturdy enough
to withstand repeated use.
Aluminum is lightweight and is not affected by weather as much as wood.
Wood and fiberglass ladders are not as “shaky” as aluminum ladders.
If the work involves possible contact with electricity, be sure to
construct the ladder of wood or fiberglass.
Design stepladders to have spreaders that can be locked in place and
that the ladder has safety feet which will provide more stability and reduce the
chances of the ladder slipping while in use.
(OVERHEAD 4)Apply a
slip-resistant material to the steps of a metal ladder to provide better footing
if needed.
(OVERHEAD 5) Design
straight ladders to be used at a four-to-one ratio.
The base of the ladder should be one foot away from the wall for every
four feet of height to the point of support.
Stickers can be placed on the ladder showing the angle at which the ratio
will be achieved. (Make sure
stickers are applied correctly!)
CASE STUDY (See following
sheets.)
This multi-part example shows how the angle of a ladder can affect the
forces involved in ladder usage. No
overheads are provided for this portion as it is assumed that the problem will
be worked on the board. Students
may be given copies of the problem if the instructor wishes.
Lecture adapted from http://www.cdc.gov/niosh/nasd/docs2/as58500.html
The Five Rules of Ladder Safety
According to the National Safety
Council, falls are the leading cause of death in and around the home.
THE
5 RULES OF LADDER SAFETY
LADDER
DESIGN CONSIDERATIONS
The ladders should be constructed of appropriate material for the application for which the ladder will be used.
Design stepladders to have spreaders that can be locked in place and safety feet which will provide more stability and reduce the chances of the ladder slipping while in use.
LADDER DESIGN
CONSIDERATIONS
Apply a slip-resistant material to the steps of a
metal ladder to provide better footing as needed.

The base of a straight ladder should be the length of the ladder divided by four. (A one-to-four ratio.)
Given:
Ladder Length = 20 ft (neglect friction at ladder/wall interface)
Ladder Weight = 50 lbs
Person Weight = 200 lbs at 16 ft up the ladder
We know that the maximum angle for safe operation is 75.5o, which provides the desired four-to-one height to ladder base offset distance.

FREE BODY DIAGRAM (Neglect friction at ladder/wall interface)

Labels are applied so that when the ladder is at the appropriate angle, the label is perpendicular to the ground.
Substituting
in P = 200 lbs and W = 50 lbs:
Fwall
= Ffriction = 47.84 lbs
N
= P + W = 200 + 50 = 250 lbs
(We’ll assume that the friction
force and the normal force are approximately equal, and the ladder could move at
any time.)
In
the desired case:
If
fall were to occur:
If
the label was applied incorrectly, what might happen to the person?
(The ladder would be misaligned with the floor, and the person could be
injured if the ladder falls.)
Let’s
assume off by 1o, so the base angle is 74.5o:
This value is greater than the Fwall maximum found earlier to be 47.84 lbs. The ladder would fall in this situation.
Let’s
look at another situation.
Ladder = 20.3 ft long
Ladder = 50 lbs
Person = 200 lbs

Substituting
in P = 200 lbs and W = 50 lbs gives Ftree = 47.23 lbs.
(This is the maximum force that can be exerted by the tree without the ladder slipping.)
at
70.5o: Ftree =
64.7 lbs
at
65.5o: Ftree =
83.23 lbs
Changing
the weight of the ladder to 30 lbs: What
base length (x) is required? What
is the new Ftree ?
x = 5.08 ft
Substituting
in P = 200 lbs and W = 30 lbs gives Ftree = 44.65 lbs.
From
these examples, the importance of having the ladder at the proper angle can be
seen. The ladder labels provide
help in achieving this angle, but cannot always be relied upon, as errors are
possible in the label application angle. Even
small variances in the angle can lead to fall of the ladder, and may result in
injury to the people using the ladder.