Two beams (ABCD and DE) are connected using a pin at Point D. The pin acts as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces can be transferred through the pinned connection at point D. Beam ABCD has a pinned support at point A and a roller support at Point C. Beam DE has a roller support at Point E. A concentrated load, P, is applied to the mid span of beam DE, as shown below. Another concentrated load, 2P, is applied to Point G. The bracket BFG can be considered rigid. A o G 2P |

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...
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Two beams (ABCD and DE) are connected using a pin at Point D. The pin acts as a moment release,
i.e. no moments are transferred through this pinned connection. Shear forces can be transferred
through the pinned connection at point D. Beam ABCD has a pinned support at point A and a roller
support at Point C. Beam DE has a roller support at Point E. A concentrated load, P, is applied to the
mid span of beam DE, as shown below. Another concentrated load, 2P, is applied to Point G. The
bracket BFG can be considered rigid.
A o
G
2P
|<L/2-|
F
C
B
Moment Release
P
←L/2→
OE
D
-L-
L
Figure 1: Two beam arrangement for question 1.
To analyse this structure, you will:
a) Construct the free body diagrams for the structure shown above. When constructing your
FBD's you must make section cuts at point B, C and D. You do not need to construct the free
body diagram for bracket BFG. You can represent the structure as four separate beams.
Following this, construct the bending moment and shear force diagrams for each segment of
the beam. Do not substitute in values for P, L etc. Keep your answer in algebraic form.
Transcribed Image Text:Two beams (ABCD and DE) are connected using a pin at Point D. The pin acts as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces can be transferred through the pinned connection at point D. Beam ABCD has a pinned support at point A and a roller support at Point C. Beam DE has a roller support at Point E. A concentrated load, P, is applied to the mid span of beam DE, as shown below. Another concentrated load, 2P, is applied to Point G. The bracket BFG can be considered rigid. A o G 2P |<L/2-| F C B Moment Release P ←L/2→ OE D -L- L Figure 1: Two beam arrangement for question 1. To analyse this structure, you will: a) Construct the free body diagrams for the structure shown above. When constructing your FBD's you must make section cuts at point B, C and D. You do not need to construct the free body diagram for bracket BFG. You can represent the structure as four separate beams. Following this, construct the bending moment and shear force diagrams for each segment of the beam. Do not substitute in values for P, L etc. Keep your answer in algebraic form.
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