# Torsional Shearing Stress

## Solution to Problem 337 | Torsion of thin-walled tube

## Solution to Problem 335 | Flanged bolt couplings

**Problem 335**

The plate shown in Fig. P-335 is fastened to the fixed member by five 10-mm-diameter rivets. Compute the value of the loads P so that the average shearing stress in any rivet does not exceed 70 MPa. (Hint: Use the results of Prob. 332.)

## Solution to Problem 334 | Flanged bolt couplings

**Problem 334**

Six 7/8-in-diameter rivets fasten the plate in Fig. P-334 to the fixed member. Using the results of Prob. 332, determine the average shearing stress caused in each rivet by the 14 kip loads. What additional loads P can be applied before the shearing stress in any rivet exceeds 8000 psi?

## Solution to Problem 333 | Flanged bolt couplings

**Problem 333**

A plate is fastened to a fixed member by four 20-mm-diameter rivets arranged as shown in Fig. P-333. Compute the maximum and minimum shearing stress developed.

## Solution to Problem 332 | Flanged bolt couplings

**Problem 332**

In a rivet group subjected to a twisting couple T, show that the torsion formula τ = Tρ/J can be used to find the shearing stress τ at the center of any rivet. Let J = ΣAρ^{2}, where A is the area of a rivet at the radial distance ρ from the centroid of the rivet group.

## Solution to Problem 331 | Flanged bolt couplings

**Problem 331**

A flanged bolt coupling consists of six ½-in. steel bolts evenly spaced around a bolt circle 12 in. in diameter, and four ¾-in. aluminum bolts on a concentric bolt circle 8 in. in diameter. What torque can be applied without exceeding 9000 psi in the steel or 6000 psi in the aluminum? Assume G_{st} = 12 × 10^{6} psi and G_{al} = 4 × 10^{6} psi.

## Solution to Problem 330 | Flanged bolt couplings

**Problem 330**

Determine the number of 10-mm-diameter steel bolts that must be used on the 400-mm bolt circle of the coupling described in Prob. 328 to increase the torque capacity to 14 kN·m

## Solution to Problem 329 | Flanged bolt couplings

**Problem 329**

A torque of 700 lb-ft is to be carried by a flanged bolt coupling that consists of eight ½-in.-diameter steel bolts on a circle of diameter 12 in. and six ½-in.-diameter steel bolts on a circle of diameter 9 in. Determine the shearing stress in the bolts.

## Solution to Problem 328 | Flanged bolt couplings

**Problem 328**

A flanged bolt coupling consists of eight 10-mm-diameter steel bolts on a bolt circle 400 mm in diameter, and six 10-mm-diameter steel bolts on a concentric bolt circle 300 mm in diameter, as shown in Fig. 3-7. What torque can be applied without exceeding a shearing stress of 60 MPa in the bolts?

## Solution to Problem 327 | Flanged bolt couplings

**Problem 327**

A flanged bolt coupling consists of ten steel ½-in.-diameter bolts spaced evenly around a bolt circle 14 in. in diameter. Determine the torque capacity of the coupling if the allowable shearing stress in the bolts is 6000 psi.