1. For the simply supported beam with a T-shape cross-section as shown below,a- Draw the shear and moments diagram of the beam.b- Determine the maximum normal bending stress and specify its location.c- If the beam made from two boards determines the maximum shear stress in the glue necessary to hold the boards together along the seam where they are joined.d- Determine the shear stress at point B.**Diagram Explanation:**- The diagram represents a simply supported beam. The beam is subjected to a uniformly distributed load of 6.5 kN/m over a length of 6 meters. The beam has a total length of 10 meters, with 4 meters before and after the loaded section. There are supports at each end of the beam.- On the right, a diagram of the T-shaped cross-section of the beam is shown. The cross-section has a top flange width of 150 mm and a height of 30 mm. The stem (web) of the T-section has a width of 30 mm and a height of 150 mm.- Glue is used at the junction of the top flange and the web, indicating the beam is constructed from two separate boards joined together.

(a)Maximum Bending Moment =Done

1. For the simply supported beam with a T-shape cross-section as shown below, a- Draw the shear and moments diagram of the beam. b- Determine the maximum normal bending stress and specify its location. c- If the beam made from two boards determines the maximum shear stress in the glue necessary to hold the boards together along the seam where they are joined.

1. For the simply supported beam with a T-shape cross-section as shown below, a- Draw the shear and moments diagram of the beam. b- Determine the maximum normal bending stress and specify its location. c- If the beam made from two boards determines the maximum shear stress in the glue necessary to hold the boards together along the seam where they are joined.

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

1. For the simply supported beam with a T-shape cross-section as shown below,

a- Draw the shear and moments diagram of the beam.

b- Determine the maximum normal bending stress and specify its location.

c- If the beam made from two boards determines the maximum shear stress in the glue necessary to hold the boards together along the seam where they are joined.

d- Determine the shear stress at point B.

**Diagram Explanation:**

- The diagram represents a simply supported beam. The beam is subjected to a uniformly distributed load of 6.5 kN/m over a length of 6 meters. The beam has a total length of 10 meters, with 4 meters before and after the loaded section. There are supports at each end of the beam.

- On the right, a diagram of the T-shaped cross-section of the beam is shown. The cross-section has a top flange width of 150 mm and a height of 30 mm. The stem (web) of the T-section has a width of 30 mm and a height of 150 mm.

- Glue is used at the junction of the top flange and the web, indicating the beam is constructed from two separate boards joined together.

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