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In the formula for calculating the block shear strength of bolt connection, i.e.

ID: 1709980 • Letter: I

Question

In the formula for calculating the block shear strength of bolt connection, i.e., Eq. 3.9.5 on the text book, it contains 0.6 F_0. What is physical meaning of 0.6 F_s? If bolt diameter is d_0 = 1.5", what is the typically used spacing between bolts in the bolt connection? For a plate subject to tension load, the design tension is T_v = 190 kips, it is found that the nominal tension capacity of the plate is T_v = 200 kips and the corresponding strength reduction factor for the tension failure mode phi =0.9, to determine whether the plate can resist the load When designing a weld connection for two plates, what types of failure modes should you consider and exam (name all possible failure modes)? Determine the design connection capacity or design strength phi Tn of the following bolt connection. The bolt used in connection is 1 -in. diameter A325-X bolt and total four bolts are used. All plate is A36 dimension is A3/16" times 7" plate (Fy=36 ksi and Fu=58 ksi). You need to exam all possible failure modes (for example, bolt shear failure. plate bearing failure, plate tension failure, or plate shear block failure) and draw the failure path

Explanation / Answer

Ans:-(5) In block shear strength formula .6Fy is used because if you have an element and you subject it to a normal stress it yields when you hit Fy BUT when you apply shear stress it doesn't yield when the stress equal to Fy, it's when equals about 60% of Fy and that accounts the reduced capacity of a ductile material that subjected to shear because our assumed Von mises failure criteria (Note:- A ductile material is weak in shear)

Ans:-(6) maximum and minimum spacing between two bolts-

Maximum = 6d (where d is diameter of bolt)

Minimum = 3d   (where d is diameter of bolt)

so maximum spacing between bolts as per your question 6x1.5 = 9.0"

and minimum spacing between bolts is 3x1.5 = 4.5"

Ans:-(8) In design of welding connection there are 3 types of failure mode-

1- Yielding of the plate

2- fracture of the plate

3- weld in shear

Note:- Yielding and fracture in welding is same as in bolts.

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