Simply Supported Beams With Concentrated Loads Only  
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The figure shows a beam of length A 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 load P 1 is directed vertically downwards at a distance a from A. A load P 2 is directed vertically downwards at a distance a plus b from A.
The figure shows a beam of length a plus b plus c plus d with A having a pin support and B having a roller support. A is at the left end of the beam and B is at the right end of the beam. 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 load P 1 is directed vertically downwards at a distance a from A. A load P 2 is directed vertically downwards at a distance a plus b from A. A load P 3 is directed vertically downwards at a distance a plus b plus c from A.
The figure shows a beam of length a plus b plus c with a pin support at A and a roller support at B at the right end of the beam. 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 load P 1 is directed vertically downwards at the left end of the beam. A load P 2 is directed vertically downwards at a distance a plus b from the left end of the beam.
The figure shows a beam of length a plus b plus c plus d with A having a pin support and B having a roller support. A is at the left end of the beam and B is at a distance a plus b plus c from the left end of the beam. 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 load P 1 is directed vertically downwards at a distance a from A. A load P 2 is directed vertically downwards at a distance a plus b from A. A load P 3 is directed vertically downwards at a distance a plus b plus c plus d from A.
The figure shows a beam of length a plus b plus c plus d with A having a pin support and B having a roller support. A is at a distance a from the left end of the beam and B is at a distance a plus b plus c from the left end of the beam. 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 load P 1 is directed vertically downwards at the left end of the beam. A load P 2 is directed vertically downwards at a distance a plus b from the left end of the beam. A load P 3 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 having a pin support and B having a roller support. A is at a distance a from the left end of the beam and B is at a distance a plus b plus c from the left end of the beam. 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 load P 1 is directed vertically downwards at the left end of the beam. A load P 2 is directed vertically downwards at a distance a plus b from the left end of the beam. A load P 3 is directed vertically downwards at the right end of the beam.