Interactive Tool

Note

Use the interactive simulation below to explore how development length changes under different assumptions.

Development Length Calculator ($l_d$)

28
420

Development Length (ldl_d)

945 mm
Psit\\Psi_t (Top bar): 1.0
Psie\\Psi_e (Epoxy): 1.0
Psis\\Psi_s (Size): 1.0
lambda\\lambda (Lightwt): 1.00

Solved Problems

Example 1: Development Length Calculation

Problem: Calculate the development length for a 25 mm25\text{ mm} diameter deformed bar in tension. fy=420 MPaf_y = 420 \text{ MPa}, fc=28 MPaf'_c = 28 \text{ MPa}. Bottom bars, uncoated, normal weight concrete. Clear spacing >2db> 2d_b, clear cover >db> d_b.

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Example 2: Development Length in Compression

Problem: Calculate the development length for a 25 mm25\text{ mm} bar in compression. fy=420 MPaf_y = 420 \text{ MPa}, fc=28 MPaf'_c = 28 \text{ MPa}.

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Example 3: Standard 90-Degree Hook

Problem: Determine the development length for a 20 mm20\text{ mm} bar with a standard 90-degree hook in tension. fy=420 MPaf_y = 420 \text{ MPa}, fc=28 MPaf'_c = 28 \text{ MPa}. Side cover >65 mm> 65\text{ mm}.

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Example 4: Tension Lap Splice

Problem: Determine the required tension lap splice length for 20 mm20\text{ mm} diameter bars. The development length ldl_d calculated previously is 800 mm800 \text{ mm}. The provided steel area is exactly equal to the required area, and all bars are spliced at the same location.

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Example 5: Hooked Bar in Compression

Problem: A 25 mm25 \text{ mm} deformed bar is to be anchored in a column footing using a standard 90-degree hook. Determine if the hook provides any development length benefit in compression. fy=420 MPaf_y = 420 \text{ MPa}, fc=28 MPaf'_c = 28 \text{ MPa}. Explain the code provisions regarding hooked bars in compression.

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Case Study 1: Catastrophic Pull-Out Failure of an Unanchored Balcony

Problem: A heavy precast concrete balcony attached to a building facade suddenly tore away and collapsed. Post-collapse investigation revealed that the top reinforcing bars connecting the balcony slab to the main floor slab were smooth, short dowels that pulled out cleanly from the concrete without yielding. Analyze the mechanism of failure.

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Case Study 2: Splitting Failure Due to Inadequate Cover

Problem: A series of closely spaced, large-diameter bottom bars in a bridge girder were cast with only 15 mm15\text{ mm} of clear concrete cover to the side face. Over time, longitudinal cracks formed along the length of the bars, and eventually, the entire side cover spalled off, leaving the bars exposed. Explain why inadequate cover leads to bond failure.

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Example 8: Tension Lap Splice Classification and Length

Problem: A tension member in a frame requires a lap splice. The calculated basic tension development length (ldl_d) for the bar is 800 mm800 \text{ mm}. The required reinforcement area from analysis is As,req=1200 mm2A_{s,req} = 1200 \text{ mm}^2, and the provided area is As,prov=1500 mm2A_{s,prov} = 1500 \text{ mm}^2. All bars are spliced at the same location. Determine the required lap splice length.

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Caution

A common mistake is confusing basic development length (ldl_d) with splice length (lstl_{st}). You cannot simply overlap two bars by ldl_d; the splice length is almost always governed by a multiplier (e.g., 1.31.3 for Class B splices) to account for the severe stress concentration that occurs at the ends of the spliced bars.