5. Derive flexural formula and state the assumptions made while deriving flexuralformula.6. Draw the shear stress distribution across a circular section of diameter 20 mm,acting upon by a shear force of 30 kN.UNIT-III7. Derive torsion formula and state the assumptions made in deriving torsionformula.9.8. A rectangular column of width 120 mm and of thickness 100 mm carries a pointload of 120 KN. If the minimum stress at the base of the section is zero, find theeccentricity of the point load and also calculate maximum stress on the section.UNIT-VUNIT-IVAbeam AB of span 6m is subjected to UDL of intensity 10KN/m. Determine thedeflection of the beam at mid span and maximum deflection in terms of flexuralrigidity.1m10 kN/m3moto2m10.A cantilever beam projection 2.5 m from a wall is loaded with a UDL of 80 KN.Determine the area moment of inertia of the beam section, if the deflection ofbeam at the free end be 8 mm. Take E = 200 GPa. Also determine the slope atthe free end.B 1. Derive the relation between the three elastic constants 'C', 'E' and 9.2. A 12 mm diameter steel rod passes centrally through a copper tube of 48 mmexternal diameter and 36 mm internal diameter and 2.5 m long. The tube isclosed at each end by 24 mm thick steel plates, which are secured by nuts. Thenuts are tightened until the copper tube is reduced in length by 0.508 mm. Thewhole assembly is then raised in temperature by 60°C. Calculate the stress incopper and steel before and after the rise of temperature assuming the thicknessof the plates unchanged. Take E, =2.1 x105 N/mm², Ec =1.05 x105 N/mm², as=1.2 x10-5/°C, ac =1.75 x10-5/°C.UNIT-IUNIT-II3. Draw SFD and BMD for the following beam and mention the SF and BM valuesat salient points and calculate the distance of point of contra-flexure from thesupport A if any.5 kNC1mA8 kN/m5mB1.5 m7 kND4. A thin spherical shell of diameter 500 mm and thickness 10 mm is subjected toan internal pressure of 5 MPa. Calculate the value of major and minor principalstresses and maximum shear stress. Also find the change in diameter andvolume of the sphere. Take E = 200 GPa and 9 = 0.3.

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Engineering

Civil Engineering

1. Derive the relation between the three elastic constants 'C', 'E' and 9.

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

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

5. Derive flexural formula and state the assumptions made while deriving flexural
formula.
6. Draw the shear stress distribution across a circular section of diameter 20 mm,
acting upon by a shear force of 30 kN.
UNIT-III
7. Derive torsion formula and state the assumptions made in deriving torsion
formula.
9.
8. A rectangular column of width 120 mm and of thickness 100 mm carries a point
load of 120 KN. If the minimum stress at the base of the section is zero, find the
eccentricity of the point load and also calculate maximum stress on the section.
UNIT-V
UNIT-IV
A
beam AB of span 6m is subjected to UDL of intensity 10KN/m. Determine the
deflection of the beam at mid span and maximum deflection in terms of flexural
rigidity.
1m
10 kN/m
3m
oto
2m
10.A cantilever beam projection 2.5 m from a wall is loaded with a UDL of 80 KN.
Determine the area moment of inertia of the beam section, if the deflection of
beam at the free end be 8 mm. Take E = 200 GPa. Also determine the slope at
the free end.
B

1. Derive the relation between the three elastic constants 'C', 'E' and 9.
2. A 12 mm diameter steel rod passes centrally through a copper tube of 48 mm
external diameter and 36 mm internal diameter and 2.5 m long. The tube is
closed at each end by 24 mm thick steel plates, which are secured by nuts. The
nuts are tightened until the copper tube is reduced in length by 0.508 mm. The
whole assembly is then raised in temperature by 60°C. Calculate the stress in
copper and steel before and after the rise of temperature assuming the thickness
of the plates unchanged. Take E, =2.1 x105 N/mm², Ec =1.05 x105 N/mm², as
=1.2 x10-5/°C, ac =1.75 x10-5/°C.
UNIT-I
UNIT-II
3. Draw SFD and BMD for the following beam and mention the SF and BM values
at salient points and calculate the distance of point of contra-flexure from the
support A if any.
5 kN
C
1m
A
8 kN/m
5m
B
1.5 m
7 kN
D
4. A thin spherical shell of diameter 500 mm and thickness 10 mm is subjected to
an internal pressure of 5 MPa. Calculate the value of major and minor principal
stresses and maximum shear stress. Also find the change in diameter and
volume of the sphere. Take E = 200 GPa and 9 = 0.3.

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