show all work clearly organized AB400 mm500 mm20 mm40 mm7 kN/m3 m20 kNm2.5 m2.5 m2 m15 KNA T-beam with the cross-section shown above is subject to the loads shown.a) Determine the second moment of area of the cross-sectionb)Draw the SFD and BMDc) State the maximum normal stress at locations A, B, and C on the cross-section due to bending

Answered: A T-beam with the cross-section shown…

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

show all work clearly organized

AB
400 mm
500 mm
20 mm
40 mm
7 kN/m
3 m
20 kNm
2.5 m
2.5 m
2 m
15 KN
A T-beam with the cross-section shown above is subject to the loads shown.
a) Determine the second moment of area of the cross-section
b)
Draw the SFD and BMD
c) State the maximum normal stress at locations A, B, and C on the cross-section due to bending

Expert Solution

Step 1

Given:-

To find:-

Second moment of area

SFD and BMD

Normal stresses at A, B and C

Concept:-

Maximum normal stress in a beam is given as

$σ_{\max} = \frac{M_{\max}}{I} \times y Where σ_{\max} = Maximum bending stress M_{\max} = Maximum bending moment I = Moment of inertia y = Distance between neutral axis and point where bending stress is to caculated$

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