## Strength of materials |

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Page 432

The two principal types of

The strength of a butt

product of the length of the

joint.

The two principal types of

**welds**are butt**welds**and fillet**welds**(see Fig. 12-16).The strength of a butt

**weld**is equal to the allowable stress multiplied by theproduct of the length of the

**weld**times the thickness of the thinner plate of thejoint.

Page 438

More useful are the following expressions for the components of q,, obtained as

in the analysis of riveted connections: 9t,= 9t,= Ty Tx 2 L(&L2 + x2 + y2) (12-10) in

which x and y are the coordinates of any selected point of any

More useful are the following expressions for the components of q,, obtained as

in the analysis of riveted connections: 9t,= 9t,= Ty Tx 2 L(&L2 + x2 + y2) (12-10) in

which x and y are the coordinates of any selected point of any

**weld**.Page 439

The modified J for the

Remembering that x and y are the coordinates of the center of each

to the common centroid C, we obtain J = L1 + x2 + jT2)] JAB = 6^ + (0.4)2 + ( 1 .6)

2] = 34.3 ...

The modified J for the

**weld**group is the sum of the 7's for each**weld**.Remembering that x and y are the coordinates of the center of each

**weld**relativeto the common centroid C, we obtain J = L1 + x2 + jT2)] JAB = 6^ + (0.4)2 + ( 1 .6)

2] = 34.3 ...

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### Common terms and phrases

allowable stresses aluminum angle area-moment assumed axes axial load beam in Fig beam loaded beam shown bending bolts cantilever beam caused centroid column components compressive stress Compute the maximum concentrated load connector cross section deformations Determine the maximum diameter elastic curve element end moments equal equivalent Euler's formula factor of safety fibers Figure flange flexure formula free-body diagram Hence Hooke's law horizontal Illustrative Problem kips lb/ft length loaded as shown main plate maximum shearing stress maximum stress method midspan deflection Mohr's circle moments of inertia neutral axis obtain plane plastic positive product of inertia proportional limit radius reaction rectangular resisting resultant rivet rotation segment shaft shear center shear diagram shearing force shown in Fig slope Solution span static steel strain tensile stress thickness three-moment equation torque torsional U.S. Customary Units uniformly distributed load vertical shear weld zero