Write shear and moment diagram for the beam. Specifying values at all change of loading positions and at points of zero shear. Neglect the mass of the beam in each problem. • Use shear and moment equation • Shear and moment diagram by area method 50 kN/m 10 kN/m ↓↓↓↓↓

Write shear and moment diagram for the beam. Specifying values at all change of loading positions and at points of zero shear. Neglect the mass of the beam in each problem. • Use shear and moment equation • Shear and moment diagram by area method 50 kN/m 10 kN/m ↓↓↓↓↓

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

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Write shear and moment diagram for the beam. Specifying values at all change of loading positions and at points of
zero shear. Neglect the mass of the beam in each problem.
• Use shear and moment equation
• Shear and moment diagram by area method
50 kN/m
| 1m
↓
1.5 m
10 kN/m
T
5m 5m.5m 1 m
20 KN
1m |

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Step 1: Introduce the problem statement

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Step 2: Determine the support reactions

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Step 3: Formulate Shear Force Equations

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Step 4: Formulate Shear Force Equations

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Step 5: Shear Force Diagram

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Step 6: Formulate Bending Moment Equations

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Step 7: Formulate Bending Moment Equations

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Step 8: Formulate Bending Moment Equations

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Step 9: Plot Bending Moment Diagram

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| For the beam illustrated in the figure, with a T-shape cross-section shown on the right, (a) complete the shear (a = ?) and bending moment diagrams and label properly at the point of interest E on the cross section, determine the magnitudes of (b) tensile and compressive bending stresses and (b) maximum transverse shear stress due to V (i. e.at point E, (02)tensile =?, (0z)compressive =?, (Ty)max =?). I is 8.5 in“. 300 Ibf in 3 in 1800 lbf ỹ = 1.5 in I in N. A. A 10 in 8 30 in |R,= 6900 Ibf |R2 = 3900 lbf 2.5 in 3 in V (Ibf | 5100 I in -1800 -3900 M (lbf.in)| x (in)
Note:hand written solution should be avoided.