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1. Define the term bending stress and explain clearly the theory of simple bending.
2. State the assumption made in theory of simple bending.
3. Prove the Relation,
Where M is bending moment, I is moment of Inertia of the section,  is bending
Young’s Modulus of Elasticity, R is radius of Curvature.
4.
5.
6.
7.
stress, E is
Differentiate between ordinary and pure bending.
Define section modulus. How would you relate strength of section with section modulus?
How will you find out moment of inertia of a plane area?
Derive an equation for moment of inertia of the following sections about centroidal axis:
a. Rectangular section
b. Circular Section
c. Triangle section
d. Hollow circular section
8. Describe the method of finding out the moment of inertia of a composite section.
9. Two beams are simply supported over the same span and have the same flexural strength.
Compare the weight of these two beams, if one of them is solid and other is hollow
circular with internal diameter half of the external diameter.
10. A rectangular beam 60 mm wide and 150 mm deep is simply supported over a span of
6m. if the beam is subjected to central point load of 12 kN, find the maximum bending
stress induced in the beam section.
11. A rectangular beam 60 mm wide and 150 mm deep is simply supported over a span of 4
meters. If the beam is subjected to a uniformly distributed load of 4.5 kN/m, find the
maximum bending stress induced in the beam.
12. Explain the term beam of uniform strength. Explain its necessity.
13. Define the term flitched beam?
14. Derive an expression for the shear stress at any point in the cross section of a beam.
15. Show that for a rectangular, the distribution of shearing stress is parabolic.
16. Derive an expression for the shear stress distribution over an I Section.
17. Describe the procedure for drawing the shear stress distribution diagram for composite
section.
18. A wooden beam supports U.D.L of 40 kN/m run over a simply supported span of 4m. it is
rectangular section 200 mm wide and 400mm deep. Sketch the shear stress distribution,
determine the maximum shear stress and average shear stress.
19. A 300mmx 150 mm I-girder has 12 mm thick flange and 8 mm thick web. It is subjected
to shear force of 150 kN at a particular section. Find the ratio of maximum shear stress to
minimum shear stress in the web. What is the maximum shear stress in the flange?
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