50 kN40 kN15 kN/m10 kN/m8.002.004.0010.003.00BEAM LAYOUTSCALE1.100MINSTRUCTIONS:FOR THE CONTINUOUS BEAM SHOWN, USING THE THREE-MOMENT-EQUATION, PERFORM THE FOLLOWING:1. SOLVE FOR THE MAGNITUDE OF ALL THE REACTIONS FORCES AND COUPLES.DRAW THE SHEAR AND MOMENT DIAGRAMS (w/ COMPLETE LABELS).DETERMINE THE MAXIMUM SHEAR AND MOMENT AND THEIR LOCATIONS THROUGHOUT THE BEAM.4. SOLVE FOR THE LOCATION AND MAGNITUDE OF THE MAXIMUM DEFLECTION OF THE BEAM. ASSUME THAT THEBEAM IS PRISMATIC AND THAT IT IS HOMOGENOUS THROUGHOUT ITS LENGTH. PRESENT YOUR ANSWERS IN2.3.TERMS OF THE FLEXURAL STIFFNESS (EI).

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50 kN 40 kN 15 kN/m 10 kN/m 8.00 2.00 4.00 10.00 3.00 BEAM LAYOUT SCALE 100 M INSTRUCTIONS: FOR THE CONTINUOUS BEAM SHOWN, USING THE THREE-MOMENT-EQUATION, PERFORM THE FOLLOWING: SOLVE FOR THE MAGNITUDE OF ALL THE REACTIONS FORCES AND COUPLES.

50 kN 40 kN 15 kN/m 10 kN/m 8.00 2.00 4.00 10.00 3.00 BEAM LAYOUT SCALE 100 M INSTRUCTIONS: FOR THE CONTINUOUS BEAM SHOWN, USING THE THREE-MOMENT-EQUATION, PERFORM THE FOLLOWING: SOLVE FOR THE MAGNITUDE OF ALL THE REACTIONS FORCES AND COUPLES.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Graphical Methods

The graphical method is a method of solving equations involving more than one variable using the Cartesian coordinate system. In civil engineering, the use of the graphical method is limited to the problems involving two variables. The graphical method has a great impact in solving the questions regarding engineering mechanics.

Question

50 kN
40 kN
15 kN/m
10 kN/m
8.00
2.00
4.00
10.00
3.00
BEAM LAYOUT
SCALE
1.
100
M
INSTRUCTIONS:
FOR THE CONTINUOUS BEAM SHOWN, USING THE THREE-MOMENT-EQUATION, PERFORM THE FOLLOWING:
1. SOLVE FOR THE MAGNITUDE OF ALL THE REACTIONS FORCES AND COUPLES.
DRAW THE SHEAR AND MOMENT DIAGRAMS (w/ COMPLETE LABELS).
DETERMINE THE MAXIMUM SHEAR AND MOMENT AND THEIR LOCATIONS THROUGHOUT THE BEAM.
4. SOLVE FOR THE LOCATION AND MAGNITUDE OF THE MAXIMUM DEFLECTION OF THE BEAM. ASSUME THAT THE
BEAM IS PRISMATIC AND THAT IT IS HOMOGENOUS THROUGHOUT ITS LENGTH. PRESENT YOUR ANSWERS IN
2.
3.
TERMS OF THE FLEXURAL STIFFNESS (EI).

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Step 1 Given Data

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Step 2 Calculating Free Bending Moment Values

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Step 3 Applying 3 Moment Equation in spans

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Step 4 Calculating Reactions

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Step 5 Shear force diagram

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Step 6 Bending Moment Diagram

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