For the system below b=0.04m, h=0.08m a) Calculate the reaction forces in terms of F andq.b) Calculate the internal shear force and moment as a function of x using cuts and summingforces and moments in terms of F, L, andq.c) Calculate the shear force and moments by integration in terms of x, L, F andq.d) Assuming a rectangular cross section compute the average normal stress for the case F =10kNat 30° where b =0.04 m, h = 0.08 m, at the point x = L/4, L = 1 m at the centroid.e) With the cross section given above compute the average normal stress for the case F =10kN at30° at the point x = L/4, L = 1 m at each surface of the beam.f) Calculate the shear stress at the top and bottom surface, at the neutral axis and at x = 0.25 mand y = 0.02 m above the neutral axis. The image depicts a beam supported by a pin and a roller. The beam is horizontal and labeled with a length \( L \, \text{m} \). The support on the left is a pin, and the support on the right is a roller, indicating different types of constraints. - **Forces and Angles:** - A force \( F \) is applied at an angle \( \theta \) to the beam. - The force is applied at the center of the beam, marked as \( L/2 \).- **Coordinate System:** - The coordinate system is defined with axes labeled \( x \) and \( y \), where \( y \) is vertical and \( x \) is horizontal.- **End View:** - On the right side of the image, an end view of the beam is shown as a rectangle with height \( h \) and base \( b \).This diagram is often used in studying the statics of structures, illustrating how forces affect beams based on their supports and points of application.

Answered: a) Calculate the reaction forces in…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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For the system below b=0.04m, h=0.08m

a) Calculate the reaction forces in terms of F and
q.
b) Calculate the internal shear force and moment as a function of x using cuts and summing
forces and moments in terms of F, L, and
q.
c) Calculate the shear force and moments by integration in terms of x, L, F and
q.
d) Assuming a rectangular cross section compute the average normal stress for the case F =10kN
at 30° where b =0.04 m, h = 0.08 m, at the point x = L/4, L = 1 m at the centroid.
e) With the cross section given above compute the average normal stress for the case F =10kN at
30° at the point x = L/4, L = 1 m at each surface of the beam.
f) Calculate the shear stress at the top and bottom surface, at the neutral axis and at x = 0.25 m
and y = 0.02 m above the neutral axis.

The image depicts a beam supported by a pin and a roller. The beam is horizontal and labeled with a length \( L \, \text{m} \). The support on the left is a pin, and the support on the right is a roller, indicating different types of constraints.

- **Forces and Angles:**
- A force \( F \) is applied at an angle \( \theta \) to the beam.
- The force is applied at the center of the beam, marked as \( L/2 \).

- **Coordinate System:**
- The coordinate system is defined with axes labeled \( x \) and \( y \), where \( y \) is vertical and \( x \) is horizontal.

- **End View:**
- On the right side of the image, an end view of the beam is shown as a rectangle with height \( h \) and base \( b \).

This diagram is often used in studying the statics of structures, illustrating how forces affect beams based on their supports and points of application.

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