Problem #1: For the beam shown, using a) equilibrium equations t and b) singularity function find the reactions at the supports and plot the shear-force and bending moment diagrams. Label the diagrams provide values at all key points. Hints: 2. 1. There are three reaction forces (unknows): three equations/conditions are needed to solve the problem Conditions: shear force and bending moment are zero at the end of the beam (point D), and bending m at the hinge.

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Chapter2: Loads On Structures
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Problem #1: For the beam shown, using a) equilibrium equations
and b) singularity function ()
find the reactions at the supports and plot the shear-force and bending moment diagrams. Label the diagrams properly and
provide values at all key points.
Hints:
1. There are three reaction forces (unknows): three equations/conditions are needed to solve the problem.
2. Conditions: shear force and bending moment are zero at the end of the beam (point D), and bending moment is zero
at the hinge.
3. To solve the problem using singularity function, start with an equation for q (x) for the entire beam.
4. To solve the problem using Equilibrium equations, you can do separate calculations for O-B and B-D sections.
y
0
350 lbf
4 in
Hinge
A B C
4 in 3 in
40 lbf/in
9 in
D
R3
Transcribed Image Text:Problem #1: For the beam shown, using a) equilibrium equations and b) singularity function () find the reactions at the supports and plot the shear-force and bending moment diagrams. Label the diagrams properly and provide values at all key points. Hints: 1. There are three reaction forces (unknows): three equations/conditions are needed to solve the problem. 2. Conditions: shear force and bending moment are zero at the end of the beam (point D), and bending moment is zero at the hinge. 3. To solve the problem using singularity function, start with an equation for q (x) for the entire beam. 4. To solve the problem using Equilibrium equations, you can do separate calculations for O-B and B-D sections. y 0 350 lbf 4 in Hinge A B C 4 in 3 in 40 lbf/in 9 in D R3
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