# Solution to Problem 133 Pressure Vessel

**Problem 133**

A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is subjected to an internal pressure of 4.5 MN/m^{2}. (a) Calculate the tangential and longitudinal stresses in the steel. (b) To what value may the internal pressure be increased if the stress in the steel is limited to 120 MN/m^{2}? (c) If the internal pressure were increased until the vessel burst, sketch the type of fracture that would occur.

# Thin-walled Pressure Vessels

A tank or pipe carrying a fluid or gas under a pressure is subjected to tensile forces, which resist bursting, developed across longitudinal and transverse sections.

**TANGENTIAL STRESS, σ _{t} (Circumferential Stress)**

Consider the tank shown being subjected to an internal pressure p. The length of the tank is L and the wall thickness is t. Isolating the right half of the tank:

# Solution to Problem 131 Bearing Stress

**Problem 131**

Repeat Problem 130 if the rivet diameter is 22 mm and all other data remain unchanged.

# Solution to Problem 130 Bearing Stress

**Problem 130**

Figure P-130 shows a roof truss and the detail of the riveted connection at joint B. Using allowable stresses of τ = 70 MPa and σ_{b}= 140 MPa, how many 19-mm-diameter rivets are required to fasten member BC to the gusset plate? Member BE? What is the largest average tensile or compressive stress in BC and BE?

# Solution to Problem 129 Bearing Stress

**Problem 129**

# Solution to Problem 128 Bearing Stress

**Problem 128**

# Solution to Problem 127 Bearing Stress

**Problem 127**

In the clevis shown in Fig. 1-11b, find the minimum bolt diameter and the minimum thickness of each yoke that will support a load P = 14 kips without exceeding a shearing stress of 12 ksi and a bearing stress of 20 ksi.

# Solution to Problem 126 Bearing Stress

**Problem 126**

The lap joint shown in Fig. P-126 is fastened by four ¾-in.-diameter rivets. Calculate the maximum safe load P that can be applied if the shearing stress in the rivets is limited to 14 ksi and the bearing stress in the plates is limited to 18 ksi. Assume the applied load is uniformly distributed among the four rivets.

# Solution to Problem 125 Bearing Stress

#### Problem 125

In Fig. 1-12, assume that a 20-mm-diameter rivet joins the plates that are each 110 mm wide. The allowable stresses are 120 MPa for bearing in the plate material and 60 MPa for shearing of rivet. Determine (a) the minimum thickness of each plate; and (b) the largest average tensile stress in the plates.