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# GATE 2023 Strength of Materials Quiz 30

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Question 1

A timber beam of rectangular cross section150mm × 100mm is simply supported at the ends, has a 35mm × 15mm steel strip securely fixed to the top surface as shown in the given figure.

The centroid of the “equivalent timber” beam in this case from the bottom surface.
(take modular ratio as 20 its misprinted as 2)

Question 2Multiple Correct Options

The cross section of a timber beam with a steel strip is shown in figure. It is subjected to a sagging bending moment of 1000 Nm, Ixx is 1250 x 104 mm4 and modulus ratio, m is 20

Which of the following statement(s) is/are correct?

Question 3

A hollow cylinder with outer diameter 350 mm and thickness 20 mm is subjected to eccentric loading such that no tension is developed anywhere in the cross section. The maximum distance from the centre the load can be applied is ____mm.

Question 4

A composite beam cross section is made up of two rectangular strips. Each of (100×50) mm placed and jointed over each other as shown.

What is the axial stress σs in steel portion of beam if load of 15000 N is acting on the beam?

Given Es = 2 × MPa, EBr = 1 × MPa

Question 5

What will be the moment of resistance of the composite section shown in the figure below if the permissible stress in wood and steel is 70 N/mm2 and 120 N/mm2 respectively.

Question 6Multiple Correct Options

Assume the materials to be rigidly connected. Select the correct statement if 0.2 kN – m is applied on the section.

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