A simply supported beam AB = 9 m has a hollow rectangular cross-section with 15 cm as width, 24 cm as depth and inner thickness as 1 cm is subjected to a point load of 6 N & 8N acting at C and D respectively and a uniformly distributed load (UDL) of 5 N/m starts from mid-span and ends at the right support of the beam. Determine the maximum bending stress and the bending stress at 1 cm from the top. Take AC = 1 m & CD = 2 m. Solution: i) Reaction force at B = ii) Reaction Force at A = iii) The distance from B at which the shear Force value changes from "-" to "+" = iv) Maximum Bending Moment (Please write the Maximum bending moment valve in "Nm") = v) Moment of Inertia, I = vi) Maximum bending stress = vii) Bending stress at 1 cm from the top =

A simply supported beam AB = 9 m has a hollow rectangular cross-section with 15 cm as width, 24 cm as depth and inner thickness as 1 cm is subjected to a point load of 6 N & 8N acting at C and D respectively and a uniformly distributed load (UDL) of 5 N/m starts from mid-span and ends at the right support of the beam. Determine the maximum bending stress and the bending stress at 1 cm from the top. Take AC = 1 m & CD = 2 m. Solution: i) Reaction force at B = ii) Reaction Force at A = iii) The distance from B at which the shear Force value changes from "-" to "+" = iv) Maximum Bending Moment (Please write the Maximum bending moment valve in "Nm") = v) Moment of Inertia, I = vi) Maximum bending stress = vii) Bending stress at 1 cm from the top =

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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A simply supported beam AB = 9 m has a hollow rectangular cross-section with 15 cm as width, 24 cm as
depth and inner thickness as 1 cm is subjected to a point load of 6 N & 8 N acting at C and D respectively
and a uniformly distributed load (UDL) of 5 N/m starts from mid-span and ends at the right support of the
beam. Determine the maximum bending stress and the bending stress at 1 cm from the top. Take AC = 1 m
& CD = 2 m.
Solution:
i) Reaction force at B =
ii) Reaction Force at A =
iii) The distance from B at which the shear Force value changes from "-" to "+" =
iv) Maximum Bending Moment (Please write the Maximum bending moment valve in "Nm") =
v) Moment of Inertia, I =
vi) Maximum bending stress =
vii) Bending stress at 1 cm from the top =

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