Handbook of Civil Engineering Calculations

(a) Transverse section (b) Force diagram FIGURE 26 Calculation Procedure: Compute the left reaction and the section at which th ...

Diagram A Full load on entire span Diagram B Dead load on overhangs; full load between supports (b) Bending-moment diagrams FIGU ...

FIGURE 28. Compound beam. Calculation Procedure: Obtain the properties of the elements Using the AISC Manual, determine the fol ...

(a) Composite (b) Tronsformed timber section section FIGURE 29 Calculation Procedure: Compute the rigidity of the steel compare ...

transformed beam. Thus,/= 22,000/25 = 880 lb/in 2 (6067.6 kPa) < 1200 lb/in 2 (8274 kPa). In the actual beam, the maximum tim ...

Determine the static moment of the cross-sectional area Calculate the static moment Q of the cross-sectional area above the pla ...

centroidal axis. If bending of the beam is not to be accompanied by torsion, the vertical shearing force at any section must pas ...

Calculation Procedure: Compute the maximum stress in the plate If the maximum deflection of the plate is less than about one-ha ...

Compute the section modulus Determine the section modulus of the rectangular cross section with respect to each axis. Thus Sx = ...

FLEXURAL STRESS IN A CURVED MEMBER The ring in Fig. 33 has an internal diameter of 12 in (304.8 mm) and a circular cross sec- ti ...

kN); W 2 = 3(2O)(ISO) = 9000 Ib (40.03 kN); ^W= 18,000 + 9000 = 27,000 Ib (120.10 kN). ThCnJC 1 - (^2 /s)(12) = 8.0 ft (2.44m); ...

Calculation Procedure: Identify the "repeating group" of piles The concrete footing (Fig. 350) binds the piles, causing the sur ...

FIGURE 36. Deflection of simple beam under end moment. Calculation Procedure: Evaluate the bending moment at a given section Ma ...

The deviation of A from a tangent to the elastic curve through B is numerically equal to the static moment of the area of the MI ...

of the latter, the shear V and bending mo- ment M' of the conjugate beam are equal, respectively, to the slope 0 and deflection ...

FIGURE 39 section; wx = load intensity at the given section; M and m = bending moment at the given section induced by the actual ...

(a) Load on frame (b) Elastic curve (c) Moment diagram FIGURE 40 Calculation Procedure: Apply a unit horizontal load Apply the ...

Compute the horizontal displacement of one point relative to another Thus, EIk 2 = EIO^ = Pb(ac + ab/2). Combine the computed d ...

Calculation Procedure: Draw the free-body diagram of the beam Draw the diagram in Fig. 4lb. Consider this as a simply supported ...

A column bearing on the 16-in (406.4-mm) beam transmits a load of 15 kips (66.72 kN) at the indicated location. Compute the maxi ...