For the overhanging beam with shown loading, sketch the shear and moment diagrams. 35 kN 35 kN 20 kN/m A D BA 6 m 2 т 2 т

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Refer to the table of equations upon answering the problem.
For the overhanging beam with shown loading, sketch the shear and moment
diagrams.
35 kN
35 kN
20 kN/m
A
C-
D
BA
6 m
2 т
2 т
Transcribed Image Text:For the overhanging beam with shown loading, sketch the shear and moment diagrams. 35 kN 35 kN 20 kN/m A C- D BA 6 m 2 т 2 т
TABLE OF EQUATIONS
Normal Stress
Bearing Stress
On =
td
A
Shear Stress (Single)
Shear Stress (Double)
P
P
A
= 1
2A
Tangential Stress (Cylindrical)
PD
O, =
2t
Longitudinal Stress (Cylindrical)
PD
4t
Stress on Spherical Vessels
PD
の、=
Hooke's Law
o = E€
4t
Deformation
Axial Strain
PL
8 =
AE
E =
Generalized Hooke's Law
Oy
E
Ox
Ex =
E
Dilatation
Oy
Ox
-- v
E
e = €x + €y + €z
Ey =
E
Oz
Ez =
E
E
-- v-
Shear Strain
Shear Modulus
E
G =
2(1+ v)
Thermal Deformation
Thermal Strain
δ, - α(ΔΤ)L
ET = aAT
Shear Stress due to Torsion
Shear Stress at any Point
Tc
max =
T=-Tmax
Polar Moment of Inertia of Circle
Minimum Shear Stress (Hollow)
C1
Tmax
C2
J =
Tmin
Polar Moment of Inertia of Hollow Circle
Angle of Twist
TL
J =
JG
Shear Stress due to Torsion (Non-Circular Tubes)
Power
T
P = Tw
2tA
Angle of Twist (Non-Circular Tubes)
ds
Bending Stress
TL
O, =
Om
4A²G,
Maximum Bending Stress
Mc
Elastic Section Modulus
Om =T
Transcribed Image Text:TABLE OF EQUATIONS Normal Stress Bearing Stress On = td A Shear Stress (Single) Shear Stress (Double) P P A = 1 2A Tangential Stress (Cylindrical) PD O, = 2t Longitudinal Stress (Cylindrical) PD 4t Stress on Spherical Vessels PD の、= Hooke's Law o = E€ 4t Deformation Axial Strain PL 8 = AE E = Generalized Hooke's Law Oy E Ox Ex = E Dilatation Oy Ox -- v E e = €x + €y + €z Ey = E Oz Ez = E E -- v- Shear Strain Shear Modulus E G = 2(1+ v) Thermal Deformation Thermal Strain δ, - α(ΔΤ)L ET = aAT Shear Stress due to Torsion Shear Stress at any Point Tc max = T=-Tmax Polar Moment of Inertia of Circle Minimum Shear Stress (Hollow) C1 Tmax C2 J = Tmin Polar Moment of Inertia of Hollow Circle Angle of Twist TL J = JG Shear Stress due to Torsion (Non-Circular Tubes) Power T P = Tw 2tA Angle of Twist (Non-Circular Tubes) ds Bending Stress TL O, = Om 4A²G, Maximum Bending Stress Mc Elastic Section Modulus Om =T
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