The rectangular block of negligible weight is subjected to a vertical force of 40kN, which is applied to its corner. Determine the normal-stress distribution acting on a section through ABCD. 0.8m 0.4m B D 40KN C

The rectangular block of negligible weight is subjected to a vertical force of 40kN, which is applied to its corner. Determine the normal-stress distribution acting on a section through ABCD. 0.8m 0.4m B D 40KN C

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

Composite Construction

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Question

The rectangular block of negligible weight is subjected to a vertical force of 40kN, which is
applied to its corner. Determine the normal-stress distribution acting on a section through
ABCD.
0.8m
0.4m
B
D
40KN
C

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Follow-up Question

How did we derive the 8kN and 16kN. Please show full working out

normal stress = = =
For 8kN maximum stress is,
8x0.2
omax =
MxCx
Ix
omax =
=
MyCx
Iy
40
0.8×0.4
1 -×0.8×0.4²
12
For 16kN, maximum stress :
=
16x0.4
1 -×0.4×0.8²
12
Normal stress at point C is largest,
Oc =
125 - 375 375 = −875kPa
= 125k
25k { c
= 375kPa
= 375kPa

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