Questions on Unsymmetrical Bending
Q.1 A beam of angle section 150 mm x 100 mm x 10 mm is simply supported over a span of 1.6
m with 150 mm Leg vertical. A uniformly distributed vertical load of 10 kN/m is applied
throughout the span. Determine:
1. Maximum bending stress
2. Direction of neutral axis, and
3. Deflection at the centre.
Take E = 210 GPa (kuk MOS 2019)
Q2. The load at the end of a 1.6 m long cantilever of T section is increased so that the top the
flange just yields. Find the position of the neutral axis and the load if the yield stress is 240 MPa.
The web is 55 mm x 10 mm and the flange is 80 mm x 10 mm. (kuk MOS 2018)
Q3. A cantilever of length 1 m carries a point load of 2000 N at free end. The cross-section the
cantilever is an unequal angle of dimensions 100 mm x 60 mm x 10 mm thick. The small Leg of
the angle (i.e., 60 mm) is horizontal. The load passes through the centroid the cross-section.
Determine: (kuk 2015)
1. Position of neutral axis and
2. The magnitude of maximum stress set up, at the fixed section of the centilever.
Q4. A 5 cm x 3 cm x 0.5 cm angle is used as a cantilever of length 5 cm with the 3 cm leg
horizontal. A load of 1000 N is applied at the free end. Determine the position of neutral axis the
maximum stress set up.
Q5. A cantilever consist of 100 mm x 100 mm x 10 mm angle with the top face horizontal. It
carries a vertical uniformly distributed load of 2 kN per metre over a span of 2 m. Determine the
maximum stress at the position of neutral axis. (SOM, kuk 2014)
Q6. A cantilever consist of 80 mm x 80 mm x 10 mm angle with the top face horizontal. It
carries a vertical load of 2 kN at a distance oof 1 m from the fixed end. Determine the maximum
stress at the position of neutral axis.
Q7. A beam of channel section carries a vertical load and is supported so that the two flanges are
horizontal. The flanges and web have equal thickness which are small compared to the depth of
the web (D) and the width of the flange (B). Show that the shear center is at a distance 3B2/(6B
+ D) from the web.