Handbook of Civil Engineering Calculations

PARTl REINFORCED CONCRETE The design of reinforced-concrete members in this handbook is executed in accordance with the specific ...

design of a steel structure, the capacity of the structure is found by determining the load that will cause failure and dividing ...

Cu = OXSaW T 11 = AJy (1) f.H/£Si (2) Jc \.\8qd a=l.l8qd c= (3) K 1 M 11 = ^AjJd-^] (4) Mn = <K/^(1-0.59?) (5) Mu = <t> ...

ing an area of 5.37 in^2 (34.647 cm^2 ). The beam is made of 2500-lb/in^2 (17,237.5-kPa) concrete, and the steel has a yield-poi ...

Establish the beam size Solve Eq. 6 for d. Thus, d^2 = Mul$bf'cq(\ - 0.590)] = 2,230,000/[0.90(12)(3000) x (0.371)(0.781)]; d= ...

(a) Section (b) Effective section (c) Resultant forces FIGURE 4 Compute the resultant force developed in the web and the depth ...

Q 2 max = 5.42(40,000) = 216,800 Ib (964,326.4 N); smax = 216,800/(10(255O)] = 8.50 in (215.9 mm). Compute the ultimate- moment ...

Calculation Procedure: Compute the values of q^ qmax, and pmax for a singly reinforced beam As the following calculations will ...

Compute the value of ej under the balanced-design ultimate moment Compare this value with the strain at incipient yielding. By ...

FIGURE 7. Shearing stress diagram sion. The less precise and more conservative method restricts the shearing stress to a stip- u ...

Select the stirrup size Equate the spacing near the support to the minimum practical value, which is generally considered to be ...

20 = sum of perimeters of reinforcing bars, in (mm). Then the ultimate shear flow at any plane between the neutral axis and the ...

(b) Moment diagrams FIGURE 8 Compute the shearing stress associated with the assumed beam size From the Code for an interior sp ...

Select the reinforcing bars, and locate the bend points For positive reinforcement, use no. 4 trussed bars 13 in (330.2 mm) on ...

(b) View parallel to EF (c) View parallel to AE FIGURE 9. Analysis of two-way slab by mechanism method. Calculation Procedure: ...

During the virtual displacement, the portions of the slab bounded by the yield lines and the supports rotate as planes. Refer to ...

The basic equations for the working-stress de- sign of a rectangular beam reinforced solely in ten- sion are k -Jw (21) J = 1 - ...

Table 1. Values of Design Parameters at Balanced Design fc and n fc ^ AT A: y p 2500 112 5 20,00 0 17 8 0.36 0 0.88 0 0.010 1 10 ...

Calculation Procedure: Record the pertinent beam data Thus/; = 2500 lb/in^2 (17,237.5 kPa); /. n = 10; A 3 = 2.20 in^2 (14.194 ...

CAPACITY OFA RECTANGULAR BEAM The beam in Fig. I4a is made of 2500-lb/in^2 (17,237.5-kPa) concrete. Determine the flex- ural cap ...