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THEN the second is converted to long double ELSE IF an operand is a double THEN the second is converted to double ELSE IF an operand is a float THEN the second is converted to float ELSE IF an operand is an unsigned long THEN the second is converted to unsigned long ELSE IF an operand is long THEN the second is converted to long ELSE IF an operand is unsigned int THEN the second is converted to unsigned int There is one additional special case: If one operand is long and the other is unsigned int, and if the value of the unsigned int cannot be represented by a long, both operands are converted to unsigned long. Once these conversion rules have been applied, each pair of operands is of the same type, and the result of each operation is the same as the type of both operands. For example, consider the type conversions that occur in Figure 2-1. First, the character ch is converted to an integer. Then the outcome of ch/i is converted to a double because f * d is double. The outcome of f + i is float, because f is a float. The final result is double.

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Note that these values and the derivation of Eq (68) are based on the ideal assumption that the follower is perfectly rigid Thus, the coef cient of friction may actually reach a value of 025 or more depending on relative elasticity and backlash of the follower A exible stem may dig into the lower corner of the bearing Therefore, the suggested guide in practice is to keep the coef cient of friction m, the follower overhang A, and the backlash as small as possible with the bearing length B as large as possible, in the range of B = 2A Generally the safe limiting pressure angle in practice is 30 degrees However, for light loads with accurate low-friction bearings, the author was successful using a pressure angle as high as 48 degrees.

Note that commercially available ball bushings for the linear moving stem have provided low friction and little backlash; see Chap 10 We may observe that the follower jamming is of concern only when the follower moves in the direction opposite that of the external load L As shown in Figure 64, jamming occurs during the rise period only During the fall period, the size of the maximum pressure angle is generally not limited in proper cam design However, the author has seen machine installations in which the follower drove the cam during the fall action It occurred with a chain-driven cam and a spring-loaded follower The spring force, acting on an excessive pressure angle of fall, produced detrimental shock and uctuating action in absorbing the backlash of the system.

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4. Pier vulnerability due to exure failure at column reinforcement splices: (CVR between 0 and 10) CVR 7 for A 0.4 CVR 10 for A 0.4 (when micro zoning is considered) For piers with unknown reinforcement: Q 7 for pier height 23 ft. Q 10 for pier height > 23 ft. 5. Column vulnerability due to foundation de ciencies (for single column bents on piles): CVR 5 for 0.4 A CVR 10 for 0.5 A Abutment vulnerability, AVR: Abutment failure is linked indirectly with settlement of approach ll such as for spill through abutments and those without wingwalls. AVR 0 if bridge is classi ed as SPC B. AVR 5 if ll 6 inch. AVR 5 if bridge is classi ed as SPC D. 6. Liquefaction vulnerability rating, LVR: Bridges with discontinuous superstructure and non-ductile supporting members have a higher vulnerability than continuous superstructures. LVR 10 for bridges subjected to severe liquefaction. LVR 5 for bridges subjected to moderate liquefaction. LVR 0 for bridges subjected to low liquefaction. 7. Bridge types which are exempt from ranking process (no remedial action is required): Bridge designed to seismic standards. Bridge has SPC A and is not a critical facility. For bridge with SPC B, only vulnerability rating for restrainers, support lengths, and LVR for certain sites is required. For bridge with SPC C or D, in addition to vulnerability rating for restrainers, support lengths, and LVR for certain sites, a vulnerability rating for column, abutment, and foundation is required. If the V1 value is determined from a high bearing vulnerability, only the bearings need to be retro tted. If V1 V2, other components would also need retro t. 8. Seismic hazard rating, E: E 1.5 A S < 10

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