Simply Supported Beams With Overhangs  
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The figure shows a beam of length a plus b with a pin support at A and a roller support at B. The x axis is taken along the length of the beam and the y axis is taken perpendicular to the beam at its left end. A uniformly distributed load w 1 is directed vertically downwards along the beam.
The figure shows a beam of length a plus b with a pin support at A and a roller support at B. The x axis is taken along the length of the beam and the y axis is taken perpendicular to the beam at its left end. A uniformly distributed load w 1 is directed vertically downwards between the left end of the beam to A. A uniformly distributed load w 2 is directed vertically downwards between A and B.
The figure shows a beam of length a plus b with a pin support at A and a roller support at B. The x axis is taken along the length of the beam and the y axis is taken perpendicular to the beam at its left end. A uniformly distributed load w 1 is directed vertically downwards between A and B. A load P 1 is directed vertically downwards at the left end of the beam.
The figure shows a beam of length a plus b plus c with a pin support at A and a roller support at B. The x axis is taken along the length of the beam and the y axis is taken perpendicular to the beam at its left end. A uniformly distributed load w 1 is directed vertically downwards between A and B. A load P 1 is directed vertically downwards at the left end of the beam and a load P 2 is directed vertically downwards at the right end of the beam.
The figure shows a beam of length a plus b plus c plus d with a pin support at A and a roller support at B. The x axis is taken along the length of the beam and the y axis is taken perpendicular to the beam at its left end. A uniformly distributed load w 1 is directed vertically downwards along the beam. A load P 1 is directed vertically upwards at a distance a plus b from the left end of the beam and a load P 2 is directed vertically downwards at the right end of the beam.
The figure shows a beam of length a plus b with a pin support at A and a roller support at B. The x axis is taken along the length of the beam and the y axis is taken perpendicular to the beam at its left end. A uniformly distributed load w 1 is directed vertically upwards between A and B. A uniformly distributed load w 2 is directed vertically upwards from B to a distance b to the right.