1

GATE ME 1987

Subjective

+2

-0

A 6 metre long supported wooden beam of rectangular section 10 cm $$ \times $$ 20 cm deep is strengthened by mild steel plates 0.5 cm $$ \times $$ 10 cm wide at the top and bottom fibre over the entire length. Find the minimum supportable uniformly distributed load considering failures in steel and wood due to flexure. Weakening of wood due to screws and weakening of the steel plates due to drilled holes may be ignored.

Permissible tensile stress for steel = 156.8 N/mm

Permissible tensile stress for steel = 14.89 N/mm

Young's modulus of mild steel = 1.96 $$ \times $$ 10

Young's modulus of wood = 0.117 $$ \times $$ 10

Permissible tensile stress for steel = 156.8 N/mm

^{2}Permissible tensile stress for steel = 14.89 N/mm

^{2}Young's modulus of mild steel = 1.96 $$ \times $$ 10

^{5}N/mm^{2}Young's modulus of wood = 0.117 $$ \times $$ 10

^{5}N/mm^{2}Questions Asked from Pure Bending (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE ME Subjects

Engineering Mechanics

Machine Design

Strength of Materials

Heat Transfer

Production Engineering

Industrial Engineering

Turbo Machinery

Theory of Machines

Engineering Mathematics

Fluid Mechanics

Thermodynamics

General Aptitude