The moment acting on the cross section of the beam is M= 3.5 kip⋅ft.Determine the maximum bending stress in the beam. ### Transcription and ExplanationThe image depicts a wooden I-beam structure, which is a common type of beam used in construction for its strength and efficiency. The I-beam has the following dimensions:- **Flange Width:** The top and bottom horizontal sections (flanges) measure 12 inches in width.- **Flange Thickness:** The thickness of each flange is 1.5 inches.- **Web Height:** The vertical section (web) between the flanges measures 12 inches in height.- **Moment (M):** An arrow labeled "M" is shown, indicating the direction of the applied moment on the beam.**Explanation of the Diagram:**- **I-Beam Structure:** The I-beam is so named because its cross-section resembles the letter "I". This shape is efficient in carrying bending and shear loads in the plane of the web.- **Load Bearing and Structural Integrity:** The I-beam's dimensions and shape provide high resistance to bending. The broad flanges help in distributing the force evenly while the web resists shear stress.- **Use in Construction:** I-beams are commonly used in frameworks of buildings and bridges, where they serve as critical support components that must withstand various forces and moments.This diagram is useful for understanding the basic geometry and application of I-beams in structural engineering.

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Engineering

Mechanical Engineering

The moment acting on the cross section of the beam is M= 3.5 kip⋅ft. Determine the maximum bending stress in the beam.

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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The moment acting on the cross section of the beam is M= 3.5 kip⋅ft.

Determine the maximum bending stress in the beam.

### Transcription and Explanation

The image depicts a wooden I-beam structure, which is a common type of beam used in construction for its strength and efficiency. The I-beam has the following dimensions:

- **Flange Width:** The top and bottom horizontal sections (flanges) measure 12 inches in width.
- **Flange Thickness:** The thickness of each flange is 1.5 inches.
- **Web Height:** The vertical section (web) between the flanges measures 12 inches in height.
- **Moment (M):** An arrow labeled "M" is shown, indicating the direction of the applied moment on the beam.

**Explanation of the Diagram:**

- **I-Beam Structure:** The I-beam is so named because its cross-section resembles the letter "I". This shape is efficient in carrying bending and shear loads in the plane of the web.
- **Load Bearing and Structural Integrity:** The I-beam's dimensions and shape provide high resistance to bending. The broad flanges help in distributing the force evenly while the web resists shear stress.
- **Use in Construction:** I-beams are commonly used in frameworks of buildings and bridges, where they serve as critical support components that must withstand various forces and moments.

This diagram is useful for understanding the basic geometry and application of I-beams in structural engineering.

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