STUPIDSID
Solve any one question from Q1 and Q2
1 (a)
A homogeneous 800 kg bar AB is supported at either end by a cable as shown in figure 1. Calculate the smallest area of each cable if the stress is not to exceed 90 MPa in bronze and 120 MPa in steel.
6 M
1 (b)
Draw SFD and BMD for the beam loaded as shown in the figure 2 below.
6 M
2 (a)
An aluminium rod is rigidly attached between a steel rod and a bronze rod as shown in the figure 3. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminium of 90 MPa, or in bronze of 100 Mpa.
6 M
2 (b)
Draw SFD and BMD for the beam loaded as shown in the Figure 4.
6 M
Solve any one question from Q3 and Q4
3 (a)
A cantilever beam, 30 mm wide by 100 mm high and 3 m
long, carries a load that varies uniformly from zero at the
free end to 2000 N/m at the wall. Compute the magnitude
and location of the maximum flexural stress.
6 M
3 (b)
The cantilever beam has rectangular cross-section of 50 mm (W) × 150 mm (H) is 3 m long and loaded by an end force of 10 kN. The material is steel with E = 210 GPa. Find the maximum deflection of the beam and maximum stress. Take E = 200 GPa.
6 M
4 (a)
For the problem described in question 3(b) determine the
type and magnitude of the stress in a fiber 20 mm from
the top of the beam at a section 2 m from the free
End.
6 M
4 (b)
For the problem described in question 3(b) determine the slope
of the free end of the cantilever beam.
6 M
Solve any one question from Q5 and Q6
5 (a)
A hollow steel shaft 2 m long is required to transmit a torque
of 15 kN-m. The total angle of twist in this length is not
to exceed 3° and the allowable shearing stress is 110 MPa.
Determine the inside and outside diameter of the shaft if
G = 90 GPa.
6 M
5 (b)
A steel bar of rectangular cross-section 60 mm - 80 mm and
pinned at each end is subject to axial compression. If the
proportional limit of the material is 210 MPa and E = 210
GPa, determine the minimum length for which Euler's equation
may be used to determine the buckling load.
7 M
6 (a)
A solid circular shaft is required to transmit 114 kW while
turning at 24 rev/s. The allowable shearing stress is 90 MPa.
Find the required shaft diameter.
6 M
6 (b)
A rectangular steel bar 45 mm × 55 mm in cross-section,
pinned at each end and subjected to axial compression. The
bar is 2.3 m long and E = 210 GPa. Determine the buckling
load using Euler's formula and corresponding stress.
7 M
Solve any one question from Q7 and Q8
7
A cylindrical steel shell is subjected to an internal pressure of 5.6 MPa. The mean radius of the cylinder is 325 mm and thickness is 12 mm. If the material has a yield point of 300 MPa, determine the factor of safety using:
(a) the maximum normal stress theory, and
(b) the von Mises theory.
(a) the maximum normal stress theory, and
(b) the von Mises theory.
13 M
8
A material is subjected to two mutually perpendicular direct stresses
of 93.5 MPa tensile (in y direction) and 42.5 MPa compressive
(in x direction), together with a shear stress of 44 MPa. The shear
couple acting on planes carrying the 93.5 MPa stress is clockwise
in effect. Calculate:
(a) magnitude and nature of the principal stresses;
(b) magnitude of the maximum shear stresses in the plane of the given stress system;
(c) direction of the planes on which these stresses act.
(a) magnitude and nature of the principal stresses;
(b) magnitude of the maximum shear stresses in the plane of the given stress system;
(c) direction of the planes on which these stresses act.
13 M
More question papers from Strength of Materials