Page 134 - Civil Engineering Formulas

Fourth Mode 0.094L 0.356L 0.644L 684 0.0092 L L 4 4 L 2 897 0.0070 0.278L L 2 0.278L 1,133 0.0056 0.235L 0.294L 0.529L 1,111 0.0062

Third Mode 0.132L 0.5L 350 0.0180 L L 3 3 502 0.0125 0.359L 0.359L 684 0.0092 0.308L 0.384L 591 0.0106

Second Mode 0.774L 125 0.0503 0.5L 224 0.0281 L 2 350 0.0180 0.56L 283 0.0222 Coefficients for computing natural circular frequencies and natural periods of vibration

Fundamental Mode L 20.0 0.315 L 56.0 0.112 L 127 0.0496 L 87.2 0.0722

Type of Support Cantilever ω = wL 4 /EI T = EI/wL 4 Simple = ω wL 4 /EI T = EI/wL 4 Fixed ω = wL 4 /EI T = EI/wL 4 Fixed-hinged = ω wL 4 /EI = T EI/wL 4 FIGURE 2.26 of prismatic beams.

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