10 kNm A 4 m B 4 4 m C 4 m 5 kN D 100 mm 80 mm

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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In the system shown in the figure, parts AB, BC and CD are of equal length and 4 m. Clockwise from point A
A moment of 10 kNm is applied in the opposite direction. The distributed load of 3 kN/m at BC is upward. Beam D
A load of 5 kN was applied downwards from the point. The profile of the beam has a 100 mm edge as seen on the right side.
was formed by subtracting a circle with a diameter of 80 mm from the center of a regular hexagon of length. Accordingly;

A)Calculate the reaction forces at B and C

B)Draw shear force and bending moment diagrams

C)Calculate the maximum bending and show it on the bending moment diagram.

D)Calculate the sectional moment of inertia of the profile

E)Calculate the maximum stress in the beam

NOTE:For option C, you need to obtain a parobolic expression when drawing the bending moment diagram. You need to use derivation.

10 kNm
A
4 m
B
4
4 m
3 kN/m
C
www
4 m
5 kN
D
100 mm
80 mm
Transcribed Image Text:10 kNm A 4 m B 4 4 m 3 kN/m C www 4 m 5 kN D 100 mm 80 mm
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D)Calculate the sectional moment of inertia of the profile

E)Calculate the maximum stress in the beam

NOTE:For option C, you need to obtain a parobolic expression when drawing the bending moment diagram. You need to use derivation.

Please solve the above options, also show option c in the bending moment diagram.

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