Problem 23.4. A hook carries a load of 7.5 kN and the load line is at a distance of 20 mmfrom the inner edge of the section which is trapezoidal. The load line also passes through thecentre of curvature of the hook. The dimensions of the central horizontal trapezoidal section are :inner width = 30 mm ; outer width = 15 mm ; depth = 30 mm. Calculate the maximum andminimum stresses. Also plot the variation of stress across the section.%3DSol. Given :HE.1000 NT d = 30–Centre ofcurvatureAiBC BA-d2+d,- 20 mm-Axis ofCentroidalR=ecurvatureAaxisLoad lineALoad line53.56+107.07 N/mmCentroidal axisstributionF0€ = 'gssens

Here we will use the concept of bending of curved bars to calculate the value of stresses. Given…

Problem 23.4. A hook carries a load of 7.5 kNand the load line is at a distance of 20 mm from the inner edge of the section which is trapezoidal. The load line also passes through the centre of curvature of the hook. The dimensions of the central horizontal trapezoidal section are : inner width minimum stresses. Also plot the variation of stress across the section. 30 mm ; outer width = 15 mm ; depth = 30 mm. Calculate the maximum and

Problem 23.4. A hook carries a load of 7.5 kNand the load line is at a distance of 20 mm from the inner edge of the section which is trapezoidal. The load line also passes through the centre of curvature of the hook. The dimensions of the central horizontal trapezoidal section are : inner width minimum stresses. Also plot the variation of stress across the section. 30 mm ; outer width = 15 mm ; depth = 30 mm. Calculate the maximum and

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

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

Problem 23.4. A hook carries a load of 7.5 kN and the load line is at a distance of 20 mm
from the inner edge of the section which is trapezoidal. The load line also passes through the
centre of curvature of the hook. The dimensions of the central horizontal trapezoidal section are :
inner width = 30 mm ; outer width = 15 mm ; depth = 30 mm. Calculate the maximum and
minimum stresses. Also plot the variation of stress across the section.
%3D
Sol. Given :
HE.1000 NT

d = 30–
Centre of
curvature
A
iB
C BA
-d2+d,- 20 mm-
Axis of
Centroidal
R=e
curvature
A
axis
Load line
A
Load line
53.56
+
107.07 N/mm
Centroidal axis
stribution
F0€ = 'g
ssens

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