Determining Support Reactions & Equilibrium for Simply Supported Beam with Parallel Forces, Study notes of Mechanics

An experiment conducted at isbm college of engineering to determine the support reactions and verify the equilibrium condition of a simply supported beam under parallel forces. The theory behind the experiment, procedure, observation table, and results.

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2021/2022

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Peoples Empowerment Group
ISBM COLLEGE OF ENGINEERING, NANDE, PUNE
DEPARTMENT OF APPLIED SCIENCE
Academic Year 2019-20-21
ENGINEERING MECHANICS
Experiment no 2
Title: Determination of support reaction of simply supported beam and
verify the equilibrium condition for parallel force system.
Aim: Determination of support reaction of simply supported beam and verify the equilibrium
condition for parallel force system.
Apparatus: Simply supported beam apparatus, hook, weight hanger
Theory:
Beam is a structural member of length which is considerably greater than 2D.
Building beam are used for transfer of load to the columns .generally beams are transversely
loaded i.e. load is acting perpendicular to the axis of beam.
Principle of parallel forces:
“ If number of forces are acting on a body which is in equilibrium then the algebraic sum
of the forces must be equal to zero.”
Let RL= Reaction at left Support
RR= Reaction at right support
Using the condition of equilibrium for parallel force system.
Taking moment about the left support,
W1L1+W2L2- RRL=0 …….(1)
The reaction at right support i.e.
RL-W1L1-W2L2 + RR= 0……(2)
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Peoples Empowerment Group

ISBM COLLEGE OF ENGINEERING, NANDE, PUNE

DEPARTMENT OF APPLIED SCIENCE

Academic Year 2019-20-

ENGINEERING MECHANICS

Experiment no 2

Title: Determination of support reaction of simply supported beam and

verify the equilibrium condition for parallel force system.

Aim: Determination of support reaction of simply supported beam and verify the equilibrium

condition for parallel force system.

Apparatus : Simply supported beam apparatus, hook, weight hanger

Theory :

Beam is a structural member of length which is considerably greater than 2D. Building beam are used for transfer of load to the columns .generally beams are transversely loaded i.e. load is acting perpendicular to the axis of beam.

Principle of parallel forces:

“ If number of forces are acting on a body which is in equilibrium then the algebraic sum of the forces must be equal to zero.” Let RL= Reaction at left Support RR= Reaction at right support Using the condition of equilibrium for parallel force system. Taking moment about the left support, W 1 L 1 +W 2 L 2 - RRL=0 …….(1) The reaction at right support i.e. RL-W 1 L 1 -W 2 L2 + RR= 0……(2)

Procedure:

i) Study the apparatus carefully. ii) Place the beam and support. Note the distance between the two supports. iii) Note the initial reading of spring balance at both the support. iv) Note the distance W 1 and W 2 from left support. v) Note the final reading of the spring balance at both the support. vi) Calculate the reactions. vii) Calculate the percentage error at each support. viii) Repeat the above procedure by changing the span or laods. ix) Calculate the mean error at both the supports.

Observation Table:

Sr. No Span Load Applied Distance from left support Distance from left support Reaction by experiment Reaction by analytical Error in % (cm) WA WB (L 1 ) (cm) (L 2 ) (cm) RA RB RA RB RA RB 1 2 3

Calculation

i) Reaction at each support

Experiment no: 4

Title: Determination of support reaction of simply

supported beam and verify the equilibrium condition

for parallel force system.

Div:__________

Roll No: ________

Date: ___________

Figure:-