The diagram is a three-hinged semi-circular arch. The horizontalcomponent for the 30 kN force is30 KLHA40 KN50 KN20 m20 m3 hinged arch60 kNThe vertical component for the 30 kNforce isHBThe horizontal component for the 60force kN isThe vertical component for the 60 kNforce is10Considering the diagram as a wholebody, the vertical reaction at A isConsidering the diagram as a wholebody, the vertical reaction at B isupward reactions are equal. They areThe horizontal reaction at A isThe horizontal reaction at B isThe reaction at hinge C is

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The diagram is a three-hinged semi- circular arch. The horizontal component for the 30 kN force is 30 KN HA 40 kN 50 KN 20 m 20 m 3 hinged arch 60 kN HB The vertical component for the 30 kN force is The horizontal component for the 60 force kN is The vertical component for the 60 kN force is Considering the diagram as a whole body, the vertical reaction at A is Considering the diagram as a whole body, the vertical reaction at B is upward reactions are equal. They are The horizontal reaction at A is The horizontal reaction at B is

The diagram is a three-hinged semi- circular arch. The horizontal component for the 30 kN force is 30 KN HA 40 kN 50 KN 20 m 20 m 3 hinged arch 60 kN HB The vertical component for the 30 kN force is The horizontal component for the 60 force kN is The vertical component for the 60 kN force is Considering the diagram as a whole body, the vertical reaction at A is Considering the diagram as a whole body, the vertical reaction at B is upward reactions are equal. They are The horizontal reaction at A is The horizontal reaction at B is

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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Question

The diagram is a three-hinged semi-
circular arch. The horizontal
component for the 30 kN force is
30 KL
HA
40 KN
50 KN
20 m
20 m
3 hinged arch
60 kN
The vertical component for the 30 kN
force is
HB
The horizontal component for the 60
force kN is
The vertical component for the 60 kN
force is
10
Considering the diagram as a whole
body, the vertical reaction at A is
Considering the diagram as a whole
body, the vertical reaction at B is
upward reactions are equal. They are
The horizontal reaction at A is
The horizontal reaction at B is
The reaction at hinge C is

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Step 3: Horizontal component for the 60kN force

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Step 4: Vertical Component for 60kN force

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Step 5: Vertical Reactions at A and B , Horizontal Reactions at A

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