The whole structure)MA=0By (20)-100(10)-12x10(10/2)=0By=80 KN↑ΣΕ,=0100- By- Ay=0Ay=100-80-20 kN↑The right part (CB) as free body diagramΣMe=0 +By(10)- Bx (10)=080(10)- Bx (10)=0Bx=80 kN-The whole structureΣΕx=012 (10)-By- Ax=012(10)-80- Ax=0Ax=40 kN+Homework: For the arch shown, find support reactions.50KN10mAThe whole structureΣΜΑ=0 )AvProf. Dr. Ali Hameed AzizAx16kN/mR2-20mCRI-10mCy(20)-20(10)-15x10(10/2)=0Cy=47.5 kN₁The right part (BC) as free body diagram> MB=026Example: For the arch shown, draw (NFD), (SFD) and (BMD).SolutionThee hinges arch→ Statically DeterminateBByAvAx100KNAvBx15kN/m↓↓↓Theory of StructuresсAxR=10mR=100BR-10m

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Answered: Homework: For the arch shown, find…

Engineering

Civil Engineering

Homework: For the arch shown, find support reactions. 50KN 10m Av Av 16kN/m R2-20m RI-10m B By By

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

The whole structure
)
MA=0
By (20)-100(10)-12x10(10/2)=0
By=80 KN↑
ΣΕ,=0
100- By- Ay=0
Ay=100-80-20 kN↑
The right part (CB) as free body diagram
ΣMe=0 +
By(10)- Bx (10)=0
80(10)- Bx (10)=0
Bx=80 kN-
The whole structure
ΣΕx=0
12 (10)-By- Ax=0
12(10)-80- Ax=0
Ax=40 kN+
Homework: For the arch shown, find support reactions.
50KN
10m
A
The whole structure
ΣΜΑ=0 )
Av
Prof. Dr. Ali Hameed Aziz
Ax
16kN/m
R2-20m
C
RI-10m
Cy(20)-20(10)-15x10(10/2)=0
Cy=47.5 kN₁
The right part (BC) as free body diagram
> MB=0
26
Example: For the arch shown, draw (NFD), (SFD) and (BMD).
Solution
Thee hinges arch→ Statically Determinate
B
By
Av
Ax
100KN
Av
Bx
15kN/m
↓↓↓
Theory of Structures
с
Ax
R=10m
R=100
B
R-10m

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