Poor Elijah Rogers. The District's new city administrator is having more than his share of hard times on the mean streets of the nation's capital since coming here from California last month.

The week that Rogers, the former Berkeley city manager, arrived was the week Mother Nature chose to dump two feet of snow on Washington streets. That provided Rogers with a chance for a little on-the-job training in snow removal.

Asked how much snow had fallen during his years in Berkeley, Rogers pressed his thumbnail to the first joint of his baby finger. "About this much," he said with a smile.

In Rogers' second week, the final days of the farm protest, hundreds of tractors tied up city traffic. Last week, the school strike began and Rogers had personal problems as well.

Rogers' silver-grey Alfa Romeo convertible arrived (along with his furniture) from sunny California, only to conk out on him shortly after midnight last Thursday on North Capitol Street near the Washington Hospital Center.

Rogers hopped out of the car, knocked on two or three doors but found no help. He finally found a Metro policeman who gave the city administrator a lift down to the mayor's command center.

"I just accept all this as part of making adjustments," Rogers said the other day. "I feel fine. This job is exciting, exhausting and exhilarating."

But how did the number two man in city government feel about not being able to get hlep on North Capitol in the early morning hours?

"I just said (to myself)," Rogers replied, "welcome back to the East Cost."

Joseph P. Yeldell, former director of the D.C. Department of Human Resources, has a new job -- as an employe of Theodore J. Hagans, developer of the Fort Lincoln "new town" and a sizable property owner in the city.

Hagans has hired Yeldell at an undisclosed salary to manage several thousand housing units run by Hagans Management Corp. "Joe is a good manager," Hagans said last week. "And I need a good manager."

Yeldell was a top aide and confidant of former mayor Walter E. Washington until last April, when a federal grand jury indicted Yeldell and developer Dominic F. Antonelli Jr. on bribery and conspiracy charges stemming from the allagedly corrupt awarding of a city lease.

In October, the two were found guilty. But on Now. 27, U.S. District Court Judge Gerhard A. Gesell ordered the verdicts set aside and granted a new trial because of misconduct by one of the jorors during the jury selection process.

No new trial date has yet been set pending a motion by federal prosecutors, who have asked the D.C. Court of Appeals to reinstate the guilty verdict.

The trial and various legal and quasilegal proceedings leanding to it heaped considerable legal expenses upon Yeldell. Since late last year, Yeldell has been on leave of absence without pay from his $47,500-a-year job as general assistant to the mayor.

But now that Marion Barry is mayor, Yeldell's post -- and even some of his office furniture -- have been taken over by lvanhoe Donaldson.

When asked what they would do if Yeldell asked for his old job back, Barry aides answer, "We'll cross that bridge when we get to it."