Question:
BUCKLING OF COLUMN: The wood column is fixed at its base and can be assumed fixed connected at its top. Determine the maximum eccentric load P that can be applied without causing the column to buckle or yield. Take E =
12GPa and ??= 15 MPa
Tutorial Worksheet 03
COMBINED LOADINGS: Determine the state of stress at point A on the cross section of the pipe assembly at section a–a.
Tutorial Worksheet 03
BENDING STRESS: If the beam is subjected to a bending moment of M = 30 kN.m, determine the maximum bending stress in the beam.
Tutorial Worksheet 03
TRANSVERSE SHEAR: Determine the maximum shear stress in the T-beam at point C. Show the result on a volume element at this point.
Tutorial Worksheet 03
TORSION: The 30-mm-diameter A-36 steel shaft is subjected to the torques shown.
Determine the angle of twist of the end B
Answer:
1)
COMBINED LOADINGS: Determine the state of stress at point A on the cross section of the pipe assembly at section a–a.
Solution
Axial load P= 1000 N
Shear load V = 1500 N
Diameter d = 40 mm
Area of shaft
A = 1256.64 mm^2
Axial stress
From above values
= 795.8 KN/M^2
As A lies in neutral axis ,so
Now Moment M = 1500 * 400 /1000
M = 600 Nm
Now Bending Stress
Y=d/2
Now Shear Stress
C = T r / J
T = 1000 * 400/1000
T = 400Nm
Put all values in torsion equation
Question 2 BENDING STRESS:If the beam is subjected to a bending moment of M = 30 kN.m, determine the maximum bending stress in the beam.
Solution
As Given M = 30 KNm
Neutral Axis of a section Y = 200 /2
Y= 100mm
Moment of inertia = 26840000 mm^4
Tutorial Worksheet 03
TORSION: The 30-mm-diameter A-36 steel shaft is subjected to the torques shown.
Determine the angle of twist of the end B
Solution
A-36 shear modulus G =75 GPA
D =30 mm
For series
J =79521.56 mm^4
Taking clockwise as positive
BUCKLING OF COLUMN: The wood column is fixed at its base and can be assumed fixed connected at its top. Determine the maximum eccentric load P that can be applied without causing the column to buckle or yield. Take E =
12GPa and ??= 15 MPa
Solution
As this is the case of strut having both ends fixed
As According to bucking load formula
For both ends fixed n=4
E =12 GPA
L = 3048 mm
I = 533333.3 mm^4
Put all values in formula we get ,
Pcr =27.196 KN
Calculate Maximum eccentric load P
Calculating from above formula we get
P = 18.17 Kn
TRANSVERSE SHEAR: Determine the maximum shear stress in the T-beam at point C. Show the result on a volume element at this point.
As shear stress
V = maximum shear force
Q = Ay
I = moment of inertia
t= thickness
Q =216000 mm^3
I = 8775000 mm^4
t =30 mm
Ra Rb
Calculate reaction
Rb = 5KN
Ra = 40KN
Now put all values in Shear stress formula
