Derive an expression for SF and BM for a Cantilever ca

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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  1. Derive an expression for SF and BM for a Cantilever carrying UDL over the Entire span.
  2. Derive an expression for BM for a cantilever carrying UDL over the entire span and a point load at its free end.
  3. Derive an expression for SF if a cantilever carrying UDL for a part of its length from the free end.
  4. Draw SFD and BMD for a cantilever carrying UDL for a part of its length from the free end.
  5. Derive an expression for SF for a cantilever carrying a load varies from zero at the fixed point and w/unit run at free end.

 

1.

The formula used to calculate the maximum shear stress developed in the thin cylinder subjected to the internal fluid pressure “p” , internal diameter “d” and thickness “t” is

(a)  (b)  (c)  (d)

 2.

In the case of thin cylinders, subjected to the internal fluid pressure; the radial stress is

(a)     Maximum at the inner surface (b) Maximum at the outer surface (c) Remains constant over the thickness of the shell (d) Gradually decreases from the inner to the outer surface

­­­ 3.

In the case of spherical vessels

(a)   Hoop stress is less than longitudinal stress; (b) Hoop stress is greater than longitudinal stress (c) Hoop stress is equal to the longitudinal stress (d) Depending upon the internal pressure, Hoop stress and Longitudinal stress relationship varies.

 4.

A thin spherical shell 1 m in diameter with its wall of 12mm thickness is filled with a fluid at atmospheric pressure. Take E = 200 GN/m2 and Poisson’s ratio 0.3. The increase in diameter is

(a) 0.111 mm  (b) 0.222 mm (c) 0.333 mm (d) None

 5.

A cylindrical vessel whose ends are closed by means of rigid flange plate is made of steel plate 3 mm thick. The length and internal diameter of vessel 500 mm and 25 cm respectively. The internal fluid pressure is 3 MN/m2. The value of the change in length is

(a)   0.00625 cm  (b) 1.3 mm  (c) 0.11 mm (d) None

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