Example G.2A C-shape in strong axis shear

The results are generated with SDC Verifier 3.6 and calculated with FEMAP v11.0.0

Task:

Verify the available shear strength and adequacy of a C15×33.9 ASTM A36 channel with end shears of 17.5 kips from dead load and 52.5 kips from live load.

Solution:

From AISC Manual Table 2-4, the material properties are as follows:

ASTM A36

Fy = 36 ksi

Fu = 58 ksi

From Chapter 2 of ASCE/SEI 7, the required shear strength is:

From AISC Manual Table 3-8, the available shear strength is:

Example G.1B W-shape in strong axis shear

Task:

The available shear strength, which can be easily determined by the tabulated values of the AISC Manual, can be verified by directly applying the provisions of the AISC Specification. Determine the available shear strength for the channel in Example G.2A.

Solution:

From AISC Manual Table 1-5, the geometric properties are as follows:

C15×33.9

d – 15.07 in.

tw = 0.400 in.

AISC Specification Section G2.1 is applicable. All ASTM A36 channels listed in the AISC Manual have h/tw ≤1.10; therefore,

Available Shear Strength

The values of φv = 1.00 (LRFD) and Ωv = 1.50 (ASD) do not apply to channels. The general values φv = 0.90 (LRFD) and Ωv = 1.67 (ASD) must be used.

Example from AISC Design Examples

Material summary

Properties Summary

Geometry Property Value
Height 15.00
Width 3.40
h 15.00
a 3.40
b 3.40
c 0.65
d 0.40
t 0.65

FEM Loads and Constraint

1..Dead load 17.5 kips

2..Live load 52.5 kips

Constraint

Check 1..ANSI / AISC LRFD 360-10

Beam Characteristics

All (LS1, 18 Property Shape(s))

Shear

All (LS1, 17 Property Shape(s))

Example G.2A

From Chapter 2 ASCE/SEI 7, the required shear strength is:

From AISC Manual Table 3-2, the available shear strength is:

Example G.2B

AISC Specification Section G2.1 is applicable. All ASTM A36 channels listed in the AISC Manual have h/tw ≤1.10; therefore,

Available Shear Strength

The values of φv = 1.00 (LRFD) and Ωv = 1.50 (ASD) do not apply to channels. The general values φv = 0.90 (LRFD) and Ωv = 1.67 (ASD) must be used.

Comparing results of calculation in SDC Verifier and in Example G.2AB we can see that values completely match.

The required shear strength is 105 kips.

The available shear strength is 116.64 kips.