Problem 1. For the beam shown in the figure, A is a fixed support and B is a roller support. Also, there is a hinge in span AB as shown. Determine (a) The reactions at the supports A and B, respectively; (b) The shear force and bending moment at location D; and (c) The shear force and bending moment at the hinge. Show the sign convention used for shear force and bending moment and identify the sign of the shear force and bending moment consistent with the sign convention used. 8K/ft 12K/ft A HINGE B_ TD 2 4' 00
Problem 1. For the beam shown in the figure, A is a fixed support and B is a roller support. Also, there is a hinge in span AB as shown. Determine (a) The reactions at the supports A and B, respectively; (b) The shear force and bending moment at location D; and (c) The shear force and bending moment at the hinge. Show the sign convention used for shear force and bending moment and identify the sign of the shear force and bending moment consistent with the sign convention used. 8K/ft 12K/ft A HINGE B_ TD 2 4' 00
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:**Problem 1.** For the beam shown in the figure, A is a fixed support and B is a roller support. Also, there is a hinge in span AB as shown. Determine:
(a) The reactions at the supports A and B, respectively;
(b) The shear force and bending moment at location D; and
(c) The shear force and bending moment at the hinge.
Show the sign convention used for shear force and bending moment and identify the sign of the shear force and bending moment consistent with the sign convention used.
**Figure Description:**
- The beam is supported at point A with a fixed support and at point B with a roller support.
- The entire beam is divided into three segments with a total length of 16 feet:
- Segment AB: 8 feet long
- Segment BC: 4 feet long
- Segment CD: 4 feet long
- There is a hinge between segments A and B.
- A uniform distributed load of 8 kips/foot is applied along segment AB.
- A triangular distributed load with a maximum intensity of 12 kips/foot is applied along segment BC, starting from zero at point B and reaching maximum at point C.
- Point D is located 2 feet from hinge B, within segment AB.
**Task:**
Determine the support reactions, and also calculate the shear forces and bending moments at specified locations while adhering to the sign convention for shear force and bending moment.
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