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INSTRUCTION MANUAL
FOR
BEHAVIOR OF COLUMN AND STRUTS
APPARATUS
Manufactured by:
ROORKEE EQUIPMENT & MODELS L PVT TD
Factory : C-18 Ram Nagar Industrial Area, Ram Nagar
Roorkee Distt-Haridwar,
Roorkee-247 667.
Email: rempvtltd@yahoo.in , remtender007@gmail.com
Website: www.rempvtltd.com
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Objective
To study of behavior of different type of column and to calculate the Euler’s buckling
load for each case
Requirements:
Apparatus consists of four spring steel columns, which are put along a vertical
These four columns have different end conditions as below:
1. Both ends pinned
2. Both ends fixed
3. One end pinned and other fixed
4. One end fixed and other end free
Theory:
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If compressive load is applied on a column, the member may fail either by crushing or
by buckling depending on its material, cross section and length. If member is
considerably long in comparison to its lateral dimensions it will fail by buckling. If a
member shows signs of buckling the member leads to failure with small increase in
load. The load at which the member just buckles is called as crushing load. The
buckling load, as given by Euler, can be found by using following expression: Where,
E = Modulus of Elasticity= 2.0 x105 N/mm² for steel
I = Least moment of inertia of column section
Le = Effective length of column
Length for each of which are given as:
1. Both ends are fixed, Le = L/ 2
2. One end is fixed and other is pinned, Le = L/√ 2
3. Both ends are pinned, Le = L
4. One end is fixed and other is free, Le = 2L
Where, L = Length of the column
Procedure:
1. Pin a graph paper behind the column.
2. Apply the load at the top of columns.
3. Note the buckling patterns for each of the four columns.
4. Trace the deflected shapes of the columns over the graph paper. Mark the points
of change of curvature of the curves and measure the effective or equivalent
length for each case separately.
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5. Calculate the theoretical effective lengths and thus buckling loads by the expressions
given above and compare them with the observed values
Observation
Width of strip (mm) b =
Thickness of strip (mm),t =
Length of strip (mm),L =
moment of inertia,I = bt³/12=
S.No End Condition Euler’s buckling load Observed Load
Theoretical observed Theoretical observed
1 Both ends fixed
2 One end fixed other pined
3 Both ends are pinned
4 One end is fixed and other is
free
Result:
1. Calculate the buckling load for each case
2. Study the shape of the curve and the points of buckling traced at the graph paper