Answered: -6 @ 1.5 m = 9 m H G -ED 2 kN F T 1.5 m…

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

Draw (approximately) the moment diagram for column AJI of the portal. Assume all truss members and the columns if the supports at A and B are fixed instead of pinned. Also determine the force in members HG, HL, and KL.

-6 @ 1.5 m = 9 m
H
G
-ED
2 kN
F
T 1.5 m
1 m
4 kN
J KL M N O C
4 m
B
Probs. 7–32/33

Expert Solution

Step 1

$T h e h o r i z o n t a l f o r c e H_{A} a n d H_{B} a t t h e f i x e d s u p p o r t i s e q u a l . \Rightarrow H_{A} = H_{B} = \frac{4 + 2}{2} = 3 K N$

The reflection point P and R are located 2m above A and B respectively.

$\sum_{}^{} M_{R} = 0, P x 9 - 4 x 2 - 2 x 3 = 0 \Rightarrow P = 1.556 K N \sum_{}^{} F_{x} = 0, P_{x} - 3 = 0 \Rightarrow P_{x} = 3 K N \sum_{}^{} M_{A} = 0 \Rightarrow M_{A} - 3 x 2 = 0 M_{A} = 6 K N \sum_{}^{} F_{y} = 0 1.56 - A_{y} = 0 \Rightarrow A_{y} = 1.556 K N$

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