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Time Allowed: 45 Minutes Max. Marks: 30 Name: Roll Number: Section: JM102 Couse Code: - MEC040

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ACADEMIC TASK 3

Time Allowed: 45 minutes Name: Section: JM102 SET A Note: Attempt All the Questions.
Q1. (a) Why moment of inertia is called second moment of area. (b) State the theorem of parallel axis. (c) Write assumptions made in theory of simple bending.

Max. Marks: 30 Roll number: Couse Code: - MEC040

[2] [2] [2] [2] [2]

(d) Write the moment of inertia of a rectangular section about its neutral axis. (e) Why we adopt hollow circular shaft in place of solid circular shaft.

Q2. Prove that a hollow shaft is stronger than a solid shaft if the shaft has same length, material and same weight. [10] Q3. Determine the polar moment of inertia of I-section as shown in fig. [10]

ACADEMIC TASK 3

Time Allowed: 45 minutes Name:

Max. Marks: 30 Roll number:

Section: JM102
SET B

Couse Code: - MEC040

Note: Attempt All the Questions.


Q1. (a) What do you mean by Neutral axis? (b) State the theorem of perpendicular axis. (c) What do you mean by theory of simple bending? (d) Write the section modulus of a rectangular section about an axis through its C.G. (e) In case of torsion at what point the shear stress intensity is minimum. [2] [2] [2] [2] [2]

Q2. Derive the Bending Equation. Also write its assumptions.

[10]

Q3. A beam is simply supported and carries a U.D.L of 40 KN/m run over the whole span. The section of beam is rectangular having depth as 500mm.If the maximum stress in the material of the beam is 120N/mm2 and moment of inertia of section is 7*108 mm4,Find the span of the beam. [10]

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