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problem 1: What assumptions are taken in the analysis of the shear stress in beams?

problem 2: Determine the governing relation to find out the shear stress in beams. Deduce a relation for the shear stress across a rectangular section. Find out the maximum value of shear stress?

problem 3: A beam square cross section of 100 mm side is used with a diagonal in a horizontal position. The vertical shear force a section is 150 kN. Find out the shear stress at the neutral axis and the value of maximum shear stress and its location.

problem 4: Find out the dimensions of the strongest rectangular beam which can be cut out of log of wood 2.4 m diameter.

problem 5: The T-section (Flange = 100 mm x 20 mm and Web = 130 mm x 20mm) is subjected to a SF of 100 kN. Draw the shear stress distribution diagram and find out the shear stress.

problem 6: What do you mean by the terms neutral axis and neutral surface? Prove the relation:

σ/y = M/I = E/R

for simple bending.

problem 7: A hollow circular bar is used as a beam has an outside diameter twice of the inside diameter. If it is subjected to a maximum bending moment of 40kN-m and the allowable bending stress is 100MPa, find out the inside diameter of the bar.

problem 8: Find out the section modulus of hollow circular section of outer diameter 20 mm and inner diameter 0.9 times the outer diameter.

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