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Steel Design (Activate Learning wi...

6th Edition
Segui + 1 other
Publisher: Cengage Learning
ISBN: 9781337094740
Chapter 8, Problem 8.3.8P
Textbook Problem
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A bracket cut from a WT-shape is connected to a column flange with 10 Group A slip-critical bolts, as shown in Figure P8.3-8. A992 steel is used. The loads are service loads, consisting of 3 0 % dead load and 7 0 % live load. What size bolt is required?

a. Use LRFD.

b. Use ASD.

Chapter 8, Problem 8.3.8P, A bracket cut from a WT-shape is connected to a column flange with 10 Group A slip-critical bolts,

(a)

To determine

The size of bolt on the basis of load resistance and factor design.

Explanation of Solution

Given:

The number of group A bolt used is 10.

The service load is divided into 30% of dead load and 70% of live load.

The factored load along x-direction is 47kips.

The factored load along y-direction is 60kips.

Calculation:

Write the equation to obtain the load factor along x-direction.

Pux=1.2PD+1.6PL ..... (I)

Here, load factor is Pu, axial live load is PL and axial dead load is PD.

Calculate the dead load.

PD=30100×47kips=14.1kips

Calculate the live load.

PL=70100×47kips=32.9kips

Substitute 32.9kips for PL and 14.1kips for PD in Equation (I).

Pux=1.2(14.1kips)+1.6(32.9kips)=16.92kips+52.64kips=69.56kips

Write the equation to obtain the load factor along y-direction.

Puy=1.2PD+1.6PL ..... (II)

Here, load factor is Pu, axial live load is PL and axial dead load is PD.

Calculate the dead load:

PD=30100×60kips=18kips

Calculate the live load:

PL=70100×60kips=42kips

Substitute 42kips for PL and 18kips for PD in Equation (II).

Puy=1.2(18kips)+1.6(42kips)=21.6kips+67.2kips=88.8kips

Write the expression for the direct tensile strength per bolt.

td=Fuxn ..... (III)

Here, the direct tensile strength per bolt is td the factored load in y-direction is Fuy and the total number of bolts is n.

Substitute 69.56kips for Fux and 10 for n in Equation (III).

td=69.56kips10=6.956kips

Write the expression moment caused by eccentricity.

Mu=Puyex+Puxey ..... (IV)

Here, the moment caused by eccentricity is Mu, eccentricity in x-direction is ex and the eccentricity in y-direction is ey.

Calculate the eccentricity in y-direction.

ey=(3.5+3.5+2)in=9in

Substitute, 69.56kips for Pux, 8in for ex, 88.8kips for Puy and 9in for ey in Equation (IV).

Mu=(88.8kips×8in)+(69.56kips×9in)=1336in-kips

Write the expression to obtain the bolt force in tension.

M=n'rtdm ..... (V)

Here, resisting moment is M, the number of bolts above the neutral axis is n', the bolt force in tension is rt and the distance between the centroid of compression and tension bolts is dm.

Calculate the distance between the centroid of compression and tension bolts.

dm=[2×(3.5+3.52)]in=10.5in

Substitute, 1336in-kips for M, 4 for n' and 10.5in for dm in equation (V).

1336in-kips=4×rt×10.5inrt=1336in-kips4×10.5inrt=31.81kips

Write the expression for the total tension load per bolt.

t=td+rt ..... (VI)

Here, the total tension load per bolt is t.

Substitute 6.956kips for td and 31.81kips for rt in equation (VI).

t=6.956kips+31.81kips=38.77kips 

The total tension load per bolt is equal to the nominal shear strength per bolt.

Write the expression to obtain the nominal shear strength per bolt.

ϕRnv=ϕFnvAb ..... (VII)

Here, resistance factor is ϕ, area of bolt is Ab and nominal shear strength of the bolt is Fnv.

Substitute, 38.77kips for ϕRnv, 0

(b)

To determine

The size of bolt on the basis of Allowed Stress Design.

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Chapter 8 Solutions

Steel Design (Activate Learning with these NEW titles from Engineering!)
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Ch. 8 - Solve Problem 8.2-2 by the ultimate strength...Ch. 8 - The bolt group shown in Figure P8.2-12 consists of...Ch. 8 - For the conditions of Problem 8.2-12, determine...Ch. 8 - Check the adequacy of the bolts. The given loads...Ch. 8 - A beam is connected to a column with 7 8...Ch. 8 - Check the adequacy of the bolts for the given...Ch. 8 - Check the adequacy of the bolts. The given load is...Ch. 8 - Check the adequacy of the bolts in the connection...Ch. 8 - The flange of a portion of a WT620 is used as a...Ch. 8 - A beam is connected to a column with 3 4...Ch. 8 - A bracket cut from a WT-shape is connected to a...Ch. 8 - For the following designs, use A36 steel for the...Ch. 8 - Same as Problem 8.3-9, but use ASD.Ch. 8 - Use an elastic analysis and determine the maximum...Ch. 8 - Use an elastic analysis and determine the maximum...Ch. 8 - Use an elastic analysis and determine the maximum...Ch. 8 - Use an elastic analysis and check the adequacy of...Ch. 8 - Use E70 electrodes and determine the required weld...Ch. 8 - Check the adequacy of the weld. The 20-kip load is...Ch. 8 - Use an elastic analysis and compute the extra load...Ch. 8 - Use an elastic analysis and compute the extra load...Ch. 8 - An L663 8 is attached to a 3 8 -in.-thick gusset...Ch. 8 - Solve Problem 8.4-1 by the ultimate strength...Ch. 8 - Solve Problem 8.4-4 by the ultimate strength...Ch. 8 - Solve Problem 8.4-7 by the ultimate strength...Ch. 8 - A connection is to be made with the weld shown in...Ch. 8 - Same as Problem 8.4-13, but use ASD.Ch. 8 - Use the elastic method and design a welded...Ch. 8 - Same as Problem 8.4-15, but use ASD.Ch. 8 - A single-angle tension member is connected to a...Ch. 8 - Same as Problem 8.4-17, but use ASD.Ch. 8 - a. Use LRFD and design a welded connection for the...Ch. 8 - Same as Problem 8.4-19, but use ASD.Ch. 8 - Determine the maximum load in the weld in kips per...Ch. 8 - Determine the maximum load in the weld in kips per...Ch. 8 - Use the maximum size E70 fillet weld and compute...Ch. 8 - A bracket plate of A36 steel is welded to a W1250...Ch. 8 - A WT741 bracket is connected to a W14159 column...Ch. 8 - A W1850 beam is connected to a W1499 column. To...Ch. 8 - A W1645 beam is connected to a W1045 column as...Ch. 8 - Same as Problem 8.6-2, but use ASD.Ch. 8 - Design a three-plate moment connection of the type...Ch. 8 - A service-load moment of 118 ft-kips, 30 dead load...Ch. 8 - Determine whether column stiffeners are required...Ch. 8 - a. A W1835 beam is to be connected to a W1453...Ch. 8 - Investigate the adequacy of the bolts in the given...Ch. 8 - Investigate the adequacy of the bolts in the given...Ch. 8 - Design a four-bolt unstiffened end-plate...Ch. 8 - Design a four-both unstiffened end-plate...

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