A beam of uniform cross-section and span L is built-in at one end and simply supportea at the other. It carries a concentrated load at a distance x from the built-in end. Show that 2L-X the collapse load has the value -M, , where M, is the fully plastic moment. (x-7)x If both the ends had been built-in, show that the load at collapse would have increased in the ratio 2L 2L-X

A beam of uniform cross-section and span L is built-in at one end and simply supportea at the other. It carries a concentrated load at a distance x from the built-in end. Show that 2L-X the collapse load has the value -M, , where M, is the fully plastic moment. (x-7)x If both the ends had been built-in, show that the load at collapse would have increased in the ratio 2L 2L-X

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Advanced Framing Techniques

In construction engineering, framing means joining together pieces of members to build a whole structure. Framing is the step where the construction project starts taking its shape. Wood, engineered wood, and structural steel are some of the framing materials used in construction. The framing technique is divided into two types, lightweight framing, and heavyweight framing. In the heavyweight framing, the vertical supports are few, and the size and weight of the pieces to be used are more like timber framing, pole building framing, and steel framing. Lightweight framing has several smaller size vertical pieces like a balloon, platform, and light-steel framing.

Question

A beam of uniform cross-section and span L is built-in at one end and simply
supportea at the other. It carries a cor.centrated ioad at a distance x from the built-in end. Show that
2L-X
the collapse load has the value
-Mo, where M, is the fully plastic moment.
If both the ends had been built-in, show that the load at collapse would have increased in the ratio
2L
2L-X
no

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