Handbook of Civil Engineering Calculations

Composite Construction in Steel and Concrete, McGraw-Hill; Chi and Biberstein—Theo- ry of Prestressed Concrete, Prentice-Hall; C ...

(a) Space diagram and string polygon FIGURE 1. Equilibrant of force system. Calculation Procedure: Construct the system force l ...

FIGURE 2. Equilibrant of force system. ANALYSIS OF STATIC FRICTION The bar in Fig. 2a weighs 100 Ib (444.8 N) and is acted on by ...

0.20(76.6 - 0.259P) - 15.32 - 0.052P. Substituting for Rx from step 4 yields 64.3 - 0.966P - 15.32 - 0.052P; so P = 53.6 Ib (238 ...

Verify the computed result Draw a free-body diagram of member BC, and take moments with respect to C. The result verifies that ...

(b) Force polygon FIGURE 4 that joint, and proceed along the polygon in the same order. This procedure shows the di- rection in ...

TABLE 1 Forces in Truss Members (Fig. 4) Force Member kips kN AJ +6.1 +29.8 BK +9.5 +42.2 CTV +19.8 +88.0 DE +30.2 -134.2 HJ -6. ...

AJV= O; /. AJV= 19.0 kips (-84.5 kN); AJn = - 19.0/0.75 = -25.3 kips (-112.5 kN). Sub- stituting in the first equation gives HJ= ...

TABLE 2 Forces in Truss Members (Fig. 5) Force Horizontal Vertical Member Slope component component kips kN AJ 0.75 25.3 19.0 -3 ...

Determine the magnitude and character of the first force Take moments with respect to joint 4. Since each halt of the truss for ...

are zero. Resolve the reactions RA and Rc (Fig. 7) into their horizontal and vertical com- ponents. Considering the entire arch ...

Calculation Procedure: Sketch the loaded cable Assume a position of the cable, such as PRSQ (Fig. So). In Fig. 8Z>, locate p ...

Continue the construction Draw a line through Q in Fig. Sb parallel to da in Fig. 8c. Locate -S" on this line at a hori- zontal ...

Compute the tension at the supports Use the relation T=[H^2 + (wL/2)^2 ]^05 , where T= tension at supports, kips (kN), and the ...

Thus W 1 = 15(I)(ISO) = 2250 Ib (10,008 N); W 2 = 0.5(15)(5)(150) = 5625; W 3 = 0.5(15XS)(IOO) = 3750. Then ^W = 11,625 Ib (51,7 ...

(o) Isometric view of spoce truss (b) View normol to yz plane FIGURE 11 Compute the true length of each member Use the equation ...

tensile. Equate the sum of the forces along each axis to zero. For instance, if the truss members are in tension, the x componen ...

FIGURE 12 (a) Isometric view of space truss ...

TABLE 4 Data for Space Truss (Fig. 12) Member AB AC BC BD BB' dx, ft (m) O (O) 12 (37) 12 (3.7) 12 (3.7) O (O) 4,ft(m) 7(2.1) 7( ...

GEOMETRIC PROPERTIES OF AN AREA Calculate the polar moment of inertia of the area in Fig. 13: (a) with respect to its cen- troid ...