BuyFindarrow_forward

Steel Design (Activate Learning wi...

6th Edition
Segui + 1 other
ISBN: 9781337094740
Textbook Problem

Use A36 steel and select the lightest American Standard Channel for a tension member that will safely support a service dead load of 100 kips and a service live load of 50 kips. The member is 20 feet long, and it is connected through the web with two lines of l-inch-diameter bolts. The length of the connection is 6 inches.

a. Use LRFD.

b. Use ASD.

To determine

(a)

The lightest American Standard Channel section for a tension member using the Load and Resistance Factor Design (LRFD) method.

Explanation

Given:

Dead load is 100kips.

Live load is 50kips.

Diameter of the bolt is 1in.

The yield strength (Fy) is 50ksi.

The ultimate strength (Fu) is 70ksi.

The length of the member is 20ft.

Calculation:

Write the expression for the total load acting on the section using the resistance factor as per LFRD.

TL=1.2D+1.6L      ...... (I)

Here, the total load is TL, the dead load is D and the live load is L.

Substitute 100kips for D and 50kips for L in Equation (I).

TL=(1.2×100kips)+(1.6×50kips)=120kips+80kips=200kips

The total load acting on the member is equal to the design load of the member.

TL=Pn      ...... (II)

Here, the design load is Pn.

Substitute 200kips for TL in Equation (II).

Pn=200kips

Write the expression to calculate the gross area.

Pn=0.9FyAg      ...... (III)

Here, the yield strength is Fy and the gross area is Ag.

Substitute 36ksi for Fy and 200kips for Pn in Equation (III).

200kips=0.9×(36ksi)×AgAg=200kips0.9×36ksiAg=6.173in2

Write the expression to calculate the effective area.

Pn=0.75FuAe      ...... (IV)

Here, the ultimate strength is Fu and the effective area is Ae.

Substitute 58ksi for Fu and 200kips for Pn in Equation (IV).

200kips=0.75×58ksi×AeAe=200kips0.75×58ksiAe=4.6in2

Write the expression to calculate the minimum radius of gyration.

rmin=L300      ...... (V)

Here, the length of the member is L.

Substitute 20ft for L in Equation (V).

rmin=(20ft×12in1ft)300=0

To determine

(b)

The lightest American Standard Channel section for a tension member using Allowable Strength Design (ASD) method.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Engineering Solutions

Find more solutions based on key concepts

Show solutions add

For Problems 3.30 through 3.40, you are asked to look up some examples of specific standardsand codes that are ...

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

What would the divider setting be to scribe a 3/4"-diameter circle?

Precision Machining Technology (MindTap Course List)

What is a system requirement, and how are system requirements classified?

Systems Analysis and Design (Shelly Cashman Series) (MindTap Course List)

When is a table in 2NF?

Database Systems: Design, Implementation, & Management