Question

The beam is supported by a pin connection at A and a roller at B. Beam AB supports a uniformly distributed load of 7.5 kN/m over the first 4 meters (x=0 to x=4) and supports a distributed load that decreases from w_{2}=4.5kN/m to w_{3}=0kN/m. Over all beam length (x) is 10 meters. Neglecting the self-weight of member AB, find"

- The reaction forces at A and B.
- The internal shear and moment at mid-span (x=5m)
- The equations for internal shear, V(x), and internal moment M(x), as a function of location (x) in the region for x between 0 and 4m of the beam.

Step 1

**Given:**

The beam is

Step 2

**Calculation:**

- The reaction forces at A and B

To calculate the support reactions replace the distributed load into equivalent concentrated loads.

Then,

Step 3

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