Using the Natural Period of a Structure as an Indicator of the Significance of Second-Order Effects

This study investigates the feasibility of predicting the momentamplification in beam-column elements of steel moment-resisting frames using the structure's natural period. Unlike previous methods, which perform moment-amplification on a story-by-story basis, this study develops and tests two models that aim to predict a global amplification factor indicative of the largest relevant instance of local moment amplification in the structure. To thisend, a variety of two-dimensional frames is investigated using first and secondorder finite element analysis. The observed moment amplification is then compared with the predicted amplification based on the structure's natural period, which is calculated by first-order finite element analysis. As a benchmark, design moment amplification factors are calculated for each story using the story stiffness approach, and serve to demonstrate the relativeconservatism and accuracy of the proposed models with respect to current practice in design. The study finds that the observed moment amplification factors may vastly exceed expectations when internal member stresses are initially very small. Where the internal stresses are small relative to the member capacities, thesecases are inconsequential for design. To qualify the significance of the observed amplification factors, two parameters are used: the second-order moment normalized to the plastic moment capacity, and the combined flexural and axial stress interaction equations developed by AISC

The Daughters of Bridget McGhee

When Huxley proposed, Blythe imagined herself fifty years into the future at his funeral. He was such a good man, they’d say. Seventy-two is too young, they’d say. She’d nod and, she had imagined, remember this moment – them lounging in her bed during the early afternoon with the sunlight threatening to burst from behind the drawn shades, him lying on his side with his left arm anchored around her waist, and the tickle of his thumb as he traced circles on her bellybutton. She rubbed her nose against his neck and breathed. His scent was different from that of Walter. Huxley smelled of pears and basil. Walter smelled of leather and soap. She didn’t smell Walter intentionally, of course. He walked into the White Dog the prior day while she was drinking a mint-mocha cappuccino and studying for an exam on medical physiology. The wind whiffed his odor towards her. She didn’t look at him, but she couldn’t stop from inhaling. “People get married after college,” Huxley swung his right leg over and straddled her, forcing her to look at him. “It’s almost been a year since we graduated. It’s what we should do.” She had wondered if he could donate organs if he were seventy-two years old. Not his liver or heart or anything like that, of course, but maybe his eyes. It’d be a shame if they couldn’t preserve his eyes. She noticed them first: they were alert and misty blue, like Santa’s. But then she wondered if eye characteristics like color were even changed during cornea transplants. Walter had plain brown eyes. She hated brown eyes. She told people that she had brown eyes, because they were dark and no one ever looked close enough. Except Huxley. They were at dinner with mutual friends and were talking about eye color, and how they all wished that theirs were like those of the young Afghan girl on the 1985 cover of National Geographic.