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Determine the minilnuin thickness t of the wall of the tank based upon an allowable shear stress of 20 MPa.

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1. A cylindrical tank having diameter d = 60mm is subjected to internal gas pressure p =4Mpa and an external tensile load

'j" =

4 . 5 m (see figure).

Determine the minilnuin thickness t of the wall of the tank based upon an allowable shear stress of 20 MPa.

2. A lubber cylinder R of length L and cross-sectional area A is compressed inside a

steel cylinder S by a force F that applies a uniformly distributed pressure to the

rubber (see figure). The Young's modulus and Poisson's ratio of the rubber are

E and v , respectively. (a) Derive a formula for the lateral pressure p between the

rubber and the steel. (Disregard friction between the rubber and the steel, and

assume that the steel cylinder is rigid when compared to the rubber.) (b) Derive

a formula for the shortening 6 of the rubber cylinder.

(2)

3 . For the instant represented, link CB is rotating countercloclcwise at a constant rate

N= 4 rad

/S

, and its pin A causes a clockwise rotation of the slotted member ODE.

Dete~lnine the angular velocity wand angular acceleration a of ODE for this instant.

4. Each of the two uniform bar OA and BC has a mass of 8 kg. The bar are welded at A to foim a T-shaped member and are rotating freely about a horizontal axis through 0 . If the bars have an angular velocity w of 4 rad 1s as OA passes the horizontal position shown, calculate the total force R supported by the bearing at

0.

C

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