Question
Download Solution PDFCalculate the development length in terms of bar diameter for the tensile reinforcing bar of grade Fe 415, if the design bond stress ꞇbd for M25 grade concrete is 1.4 N/mm2.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Development Length:
(i) The calculated tension or compression in any bar at any section shall be developed on each side of the section by an appropriate development length or end anchorage or a combination thereof.
(ii) Development Length can be calculated as:
\(L_d = \frac{ϕ \times 0.87f_y}{4τ_bd}\)
Where,
ϕ = Diameter of bar
τbd = Design bond stress = Permissible value of average bond stress
The value of bond stress is increased by 60% for a deformed bar in tension and a further increase of 25% is made for bars in compression.
Calculation:
Given that,
τbd = 1.4 N/mm2.(In tension), fy = 415 N/mm2.
Bar is in tension, so Increased the value of τbd by 60% for deformed bar in tension.
So, τbd = 1.4 x 1.6 = 2.24 N/mm2.
\(L_d = \frac{ϕ \times 0.87f_y}{4τ_bd}\)
Ld = \(\frac{ϕ \times 0.87 \times 415}{4 \times 2.24}\)
L d = 40ϕ
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