a pin at the left side, and a roller at the right side. a) Draw a Free Body Diagram and determine the reaction forces at each end of the beam. b) Cut the beam at the mid-span (5 meters from the left support). Draw a Free Body Diagram of the cut beam, and solve for the internal reactions at the cut. 2 kN/m 10 kN A B C D 5 m 3 m 2 m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Textbook: Strength of Materials

 

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A formula sheet is provided for your reference.

The beam below supports a distributed load and a point load. The beam is supported by
a pin at the left side, and a roller at the right side.
a) Draw a Free Body Diagram and determine the reaction forces at each end of the
beam.
b) Cut the beam at the mid-span (5 meters from the left support). Draw a Free Body
Diagram of the cut beam, and solve for the internal reactions at the cut.
2 kN/m
10 kN
A
B
D
5 m
3 m
2 m
Transcribed Image Text:The beam below supports a distributed load and a point load. The beam is supported by a pin at the left side, and a roller at the right side. a) Draw a Free Body Diagram and determine the reaction forces at each end of the beam. b) Cut the beam at the mid-span (5 meters from the left support). Draw a Free Body Diagram of the cut beam, and solve for the internal reactions at the cut. 2 kN/m 10 kN A B D 5 m 3 m 2 m
Formula Sheet
Centre of Gravity and Moment of Inertia
ΣΑ
ΣΑ
EA,
ΣΑ
I, = I, + Ad² I¸ =E(!.)+ E(Ad²)
1, = E(!.)+
y
Axial Stress and Internal Forces
ΣΕ, -0 Σ , =0 ΣΜ=0
o = P/ A
T =V | A
S.F. = o alow /o.
allow
actual
Strain
PL
8 =
AE
· E \ateral
V =
E =
E =
L
E axial
Transcribed Image Text:Formula Sheet Centre of Gravity and Moment of Inertia ΣΑ ΣΑ EA, ΣΑ I, = I, + Ad² I¸ =E(!.)+ E(Ad²) 1, = E(!.)+ y Axial Stress and Internal Forces ΣΕ, -0 Σ , =0 ΣΜ=0 o = P/ A T =V | A S.F. = o alow /o. allow actual Strain PL 8 = AE · E \ateral V = E = E = L E axial
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