Solution to Problem 328 | Flanged bolt couplings | Strength of Materials Review at MATHalino

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 328

Click here to expand or collapse this section

Bolts in two circular rows

For one bolt in the outer circle:

$P_1 = A\tau = \dfrac{\pi (10^2)}{4}(60)$

$P_1 = 1500\pi \, \text{N}$

For one bolt in the inner circle:

$\dfrac{P_1}{R_1} = \dfrac{P_2}{R_2}$

$\dfrac{1500\pi}{200} = \dfrac{P_2}{150}$

$P_2 = 1125\pi \, \text{N}$

$T = P_1 R_1 n_1 + P_2 R_2 n_2$

$T = 1500\pi(200)(8) + 1125\pi(150)(6)$

$T = 3\,412,500\pi \, \text{N}\cdot\text{mm}$

$T = 3.4125\pi \, \text{kN}\cdot\text{m} = 10.72 \, \text{kN}\cdot\text{m}$ answer

Tags

bolt

Torque

Torsional Shearing Stress

torsional stress

flanged bolt coupling

Two-Row Bolts

Log in or register to post comments

Recent comments

Solution to Problem 686 | Beam Deflection by Method of Superposition
Yes.
4 weeks ago
Solution to Problem 686 | Beam Deflection by Method of Superposition
Sir what if we want to find…
4 weeks ago
Problem 513 | Friction
Hello po! Question lang po…
1 month 2 weeks ago
Solution to Problem 104 Normal Stress
400000=120[14π(D2−10000)]
(…
2 months 2 weeks ago
General Solution of $y' = x \, \ln x$
Use integration by parts for…
3 months 2 weeks ago
General Solution of $y' = x \, \ln x$
need answer
3 months 2 weeks ago
Solution to Problem 559 | Built-up Beams
Yes you are absolutely right…
3 months 3 weeks ago
Solution to Problem 559 | Built-up Beams
I think what is ask is the…
3 months 3 weeks ago
Problem 267 | Resultant of Non-Concurrent Force System
$\cos \theta = \dfrac{2}{…
3 months 3 weeks ago
Problem 267 | Resultant of Non-Concurrent Force System
Why did you use (1/SQ root 5…
3 months 3 weeks ago

Home • Forums • Blogs • Glossary • Recent
About • Contact us • Terms of Use • Privacy Policy • Hosted by Linode • Powered by Drupal

MATHalino - Engineering Mathematics • Copyright 2024 Jhun Vert • All rights reserved