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Mechanical - Strength of Materials - Stress, Strain and Deformation of Solids

**Problem - 1:**

**A mild steel rod
2m long &3cm diameter is subjected to an axial pull of 10kN. E for Youngs
modulus for steel is 2 x 10 ^{5} N/mm^{2}. Find the stress,
strain. **

Sol:

**Problem - 2:**

**A steel bar
900mm long its 2ends are 40mm &30mm in diameters &the length of each
rod is 200mm. The middle portion of the bar is 15mm in diameters &500mm in
long if the bar is subjected an axial tensile load of 15KN. Determine the
stress in each section &total extension. Take E=200 10 ^{3}N/mm^{2.}
**

Sol:

**Problem –3:**

**The following are the results of a
tensile on test on a molested rod is 16 mm gaugh length is 50 mm, load at
proportionality limit is 48.5 kN. Extension at the proportionally limit is
0.05mm. Load at yield point is 50.3 KN ultimate load is 90KN. Final length
between gauge points is 64mm, dia of the neck** **at fracture
is 13.7 mm.
Determine the e you Stress, % of
elangation & % of reduction in area.**

Given data:

Dia of rod d = 16mm

Dia of Fracture of rod fd = 13.7
mm

Gauge length l = 50mm

Final length $ L = 645
mm

Load at yield point = 50.3KN

Load at limit = 48.5 KN

Extension of ( inf ) limit
$ l = 0.05.mm

Ultimate load = 90
KN ( max load)

**Problem - 4:**

**A Cylindrical pipe of diameter 1.5mm
& thickness 1.5cm is subjected to an internal fluid pressure of 1.2 N/mm ^{2}.
Find the longitudinal stress & hoop stress developed in the pipe.**

**Problem - 5:**

**A Cyliner of internal dia 0.5m contains
air at apressure of 7 N/mm ^{2}.If the maximum permissible stress
induced in material is 80 N/mm^{2}. Find the thickness of the cylinder
.**

**Problem - 6:**

**Calculate change in length, change in
diameters, change in volume of the thin cylinder 100cm dia & 1cm thickness,
5m long E= 2 10 ^{5} N/mm^{2} poisson’s ratio=0.3&
internal(1/m)fluid (or pressure 3 N/mm^{2}.**

**Problem - 7:**

**A bar of 20mm diameter is tested in
tension it is observed that when a lead of 40KN is applied the extension
measured over a gauge length of 200mm us 0.12mm&contraction in diameter is 0.0036mm. Find
poisson’s ratio, young’s modulas.**

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