Answered: Standard Sized Holes 0.6" ThickA36 Steel 4" Pu = 75k Pu = 75k 2.0" 2.0" 2.25" Plan View DO 7/8" diameterA325 Bolts Note: for the plate as a TM, the following is…

Structural Analysis

6th Edition

ISBN: 9781337630931

Author: KASSIMALI, Aslam.

Publisher: Cengage,

See similar textbooks

Concept explainers

Connections

In steel structures, connections are the members that join two or more steel members. The connections are the most important members of any steel structure, and hence, they are designed more carefully. The majority of the construction cost of steel struc…

Question

For the connection below you may neglect any moment in the connection caused by the eccentricity of the load. You must answer the following question:

Is the connection adequate? Check all limit states and other requirements.

Standard Sized Holes
0.6" ThickA36 Steel
4"
Pu = 75k
Pu = 75k
2.0"
2.0"
2.25"
Plan View
7/8" diameter A325 Bolts
Note: for the plate as
a TM, the following is
given:
þPnfracture = 78.3 kips
Section View

Expert Solution

Step 1

Given:

$P_{u} = 75 k B o l t d i a m e t e r = \frac{7}{8} in F_{n v} = 68 ksi F_{u} = 58 ksi$

Step 2

Shearing of bolt.

$\begin{array}{rcl} ϕ R_{n} & = & 0.75 A_{b} F_{n v} (N o . o f b o l t s) \\ = & 0.75 \times \frac{π}{4} \times {(\frac{7}{8})}^{2} \times 68 \times 3 \\ = & 92 kips > 75 kips \end{array}$

Hence ok.

Bearing.

$\begin{array}{rcl} {(ϕ R_{n})}_{B e a r i n g} & = & 0.75 \times 2.4 d t F_{u} \\ = & 0.75 \times 2.4 \times \frac{7}{8} \times 0.6 \times 58 \\ = & 54.81 k i p s \end{array}$

Tearing

$\begin{array}{rcl} {(ϕ R_{n})}_{T e a r i n g} & = & 0.75 \times 1.2 l_{c} t F_{u} \\ = & 0.75 \times 1.2 \times (20 - (\frac{7}{8} + \frac{1}{16})) \times 0.6 \times 58 \\ = & 33.2775 k i p s \end{array}$

Step by stepSolved in 4 steps

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Recommended textbooks for you

Structural Analysis
Civil Engineering
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:Cengage,
Structural Analysis (10th Edition)
Civil Engineering
ISBN:9780134610672
Author:Russell C. Hibbeler
Publisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:9780073398006
Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:McGraw-Hill Education
Sustainable Energy
Civil Engineering
ISBN:9781337551663
Author:DUNLAP, Richard A.
Publisher:Cengage,
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning