Short sleeves shirts falls into the category of casual wear and are not recommended for office work. Short sleeves shirts are not formal enough to wear with a tie and should not be a choice of dress for a formal event or office wear. Short sleeves worn with a tie is seen and project an image of a lower class of the society.
The alternative to dressing in short sleeves and a tie for the office, would be a solid pastel colour shirt jacket type shirt with two splits at the side or roll up the sleeves of your dress shirt to the elbow. This is more accepted and formal for the office than a short sleeve shirt and tie.