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Building Design and Construction Handbook - Merritt - Ventech!

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7.72 SECTION SEVEN<br />

2<br />

1 � Cva (a/h)<br />

st � 2�<br />

A � � YDht (7.30)<br />

2 h �1 � (a/h)<br />

where Y � ratio of yield stress of web steel to yield stress of stiffener steel<br />

D � 1.0 for stiffeners in pairs<br />

� 1.8 for single-angle stiffeners<br />

� 2.4 for single-plate stiffeners<br />

When the greatest shear stress ƒ v in a panel is less than F v determined from Eq.<br />

(7.29a), the gross area of the stiffeners may be reduced in the ratio ƒ v/F v.<br />

The moment of inertia of a stiffener or pair of stiffeners, about the web axis,<br />

should be at least (h/50) 4 . The connection of these stiffeners to the web should be<br />

capable of developing shear, in kips per lineal inch of single stiffener or pair, of at<br />

least<br />

3<br />

Fyw � �<br />

ƒvs � h � (7.31)<br />

340<br />

where F yw is the yield stress of the web steel (Table 7.18). This shear also may be<br />

reduced in the ratio ƒ v/F v as above.<br />

TABLE 7.18 Required Shear Capacity of<br />

Intermediate-Stiffener Connections to Girder<br />

Web<br />

F yw, ksi<br />

ƒ vg, kips<br />

per lin in F yw, ksi<br />

ƒ vg, kips<br />

per lin in<br />

36.0 0.034h 60.0 0.074h<br />

42.0 0.043h 65.0 0.084h<br />

45.0 0.048h 90.0 0.136h<br />

50.0 0.056h 100.0 0.160h<br />

55.0 0.065h<br />

Combined Stresses in Web. A check should be made for combined shear <strong>and</strong><br />

bending in the web where the tensile bending stress is approximately equal to the<br />

maximum permissible. When ƒ v, the shear force at the section divided by the web<br />

area, is greater than that permitted by Eq. (7.29a), the tensile bending stress in the<br />

web should be limited to no more than 0.6F yw or F yw(0.825 � 0.375ƒ v/F v), where<br />

F v is the allowable web shear given by Eq. (7.29a). For girders with steel flanges<br />

<strong>and</strong> webs with F y exceeding 65 ksi, when the flange bending stress is more than<br />

75% of the allowable, the allowable shear stress in the web should not exceed that<br />

given by Eq. (7.22).<br />

Also, the compressive stresses in the web should be checked (see Art. 7.22).<br />

7.21.2 LRFD Procedure for Plate Girders<br />

Plate girders are normally proportioned to resist bending on the assumption that<br />

the moment of inertia of the gross section is effective. The web must be propor-

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