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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
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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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
Transcribed Image Text: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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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
Transcribed Image Text: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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