Allowable Shear Stress With Tension Field Action Calculator

Allowable Shear Stress Formula:

\[ F_v = \frac{F_y}{289} \times \left( C_v + \frac{1 - C_v}{1.15 \times \sqrt{1 + \left( \frac{a}{h} \right)^2}} \right) \]

Yield Stress of Steel (Fy):

Stress Buckling Coefficient (Cv):

Spacing of Stiffeners (a):

Height of Web (h):

Allowable Shear Stress (Fv):

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1. What is Allowable Shear Stress with Tension Field Action?

Allowable Shear Stress with Tension Field Action is the maximum shear stress that a structural member can withstand when accounting for the post-buckling strength of web panels in steel girders. This approach recognizes that web panels can carry additional shear load through diagonal tension fields after buckling occurs.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F_v = \frac{F_y}{289} \times \left( C_v + \frac{1 - C_v}{1.15 \times \sqrt{1 + \left( \frac{a}{h} \right)^2}} \right) \]

Where:

\( F_v \) — Allowable shear stress (Pa)
\( F_y \) — Yield stress of steel (Pa)
\( C_v \) — Stress buckling coefficient
\( a \) — Spacing of stiffeners (m)
\( h \) — Height of web (m)

Explanation: This formula accounts for the combined effect of shear buckling and post-buckling tension field action in steel girders with stiffeners.

3. Importance of Allowable Shear Stress Calculation

Details: Accurate calculation of allowable shear stress is crucial for designing safe and efficient steel structures, particularly in girders and beams where shear forces are significant. It ensures structural integrity while optimizing material usage.

4. Using the Calculator

Tips: Enter yield stress in Pascals, stress buckling coefficient (0-1), spacing of stiffeners in meters, and height of web in meters. All values must be positive with Cv between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the stress buckling coefficient (Cv)?
A: Cv represents the ratio of the critical shear buckling stress to the shear yield stress, indicating the web's susceptibility to buckling before yielding.

Q2: How does stiffener spacing affect allowable shear stress?
A: Closer stiffener spacing (smaller a/h ratio) increases the allowable shear stress by providing better support against web buckling.

Q3: When is tension field action considered in design?
A: Tension field action is considered in intermediate and slender webs where post-buckling strength contributes significantly to the total shear capacity.

Q4: What are typical values for the stress buckling coefficient?
A: Cv typically ranges from 0.2 to 1.0, depending on the web slenderness ratio and boundary conditions.

Q5: Are there limitations to this calculation method?
A: This method is primarily applicable to steel plate girders with properly designed stiffeners and may not be suitable for all structural configurations.