2 ### Beam Support Reaction Calculation#### Problem Statement:The beam is supported by a pin at A and a roller at B, and it supports a triangular distributed load and a point load. Determine the support reaction at B. Support your answer with an appropriate Free Body Diagram (FBD) and equilibrium equation(s).#### Diagram:The beam is detailed as follows:- A point load of 10 kN is applied at the center of the beam.- A triangular distributed load with a peak value of 10 kN/m is applied across the length of the beam.- The length of the beam is 6 meters, with the beam segmented into 3 meters on either side of the central node where the point load is applied.- Support A is a pin support allowing rotational but not translational movement.- Support B is a roller support allowing horizontal translational but not vertical movement.#### Diagram Analysis:The diagram shows the following:- A skier-shaped distributed load is represented from point A to point B, peaking at the center.- The uniformly distributed load is symmetrical about the center of the beam.- The specific supports are clearly marked - A being a pin support and B being a roller support.#### Choices:- 35 kN- 20 kN- 15 kN- 10 kN- None of the aboveSelect the correct support reaction at B based on calculations.#### Free Body Diagram (FBD) and Equilibrium Equations:1. **Calculate the resultant of the triangular load:** - Resultant load (R) of the triangular distributed load = \(\frac{1}{2} \times \text{Base length of distribution} \times \text{Height of triangle} \Rightarrow \frac{1}{2} \times 6 \text{ m} \times 10 \text{ kN/m} = 30 \text{ kN}\) - Location of the resultant load from point A = \(\frac{\text{Length}}{3} = \frac{6}{3} = 2 \text{ m from A}\)2. **Equilibrium Equations:** - Sum of vertical forces (\( \Sigma F_y = 0 \)): \[ R_A + R_B - 10 - 30 = 0 \] \[ R_A + R_B = 40 \text{ k

Here we will apply the equilibrium conditions by taking the moment and drawing the free body diagram…

The beam is supported by a pin at A and roller at B and supports a triangular distributed load and a point load. Determine the support reaction at B. Support your answer with an appropriate FBD and equilibrium equation(s). 10 kN

The beam is supported by a pin at A and roller at B and supports a triangular distributed load and a point load. Determine the support reaction at B. Support your answer with an appropriate FBD and equilibrium equation(s). 10 kN

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

See similar textbooks

Related questions

Q: Calculate to the correct number of significant figures. (3.14x2.4367) - 2.34

A: The problem is given as, In this, it can be seen that the minimum significant figure of the number…

Q: A steel beam, of lengths a=5 m and b= 2 m and a hollow box cross section, is supported by a hinge…

A: Here reaction force along x-direction at pin support A is neglected as there are no applied force…

Q: solve both

A: Power input, Gear speed of input shaft, Gear ratio, Power loss,

Q: recked autos. Determine the tension of each segment of e chain, i.e., AB and BC, if the force which…

Q: If A=0.375 inch, B=0.923 inch, C=1.0992 inches, find G A 기사 W -|×|-> G- -B- -C- F E-

A: If A= 0.375 inch, B=0.923 inch, C=1.0992 inches,find G.

Q: Write the four different types of Resultant Loadings?

A: Loading: The loading on the beam or any members is the load acting on a beam under which beam…

Q: What is the maximum magnitude of the bending moment caused by force G? If none, enter zero. Do not…

A: It is required to determine the magnitude of the maximum bending moment by the force G.

Q: Q1 The 45° strain rosette is mounted on a surface of the bracket as shown in Figure Q1. The bracket…

Q: Determine the x-y and n-t components of the 39-kip force F acting on the simply-supported beam. F =…

Q: A force F = 6980 N acts upon a piston head, as shown in the figure. The gudgeon pin G connects the…

Q: 150 m 50 mm 85 mm Section X-X 20 kN

Q: Write the equation that relates applied stress to local maximum stress.

A: Stress concentration factors are generally used to relate applied stress to local maximum stresses.…

Q: ********** QI/A/ The 4-mm diameter cable BC shown in Figure Q1-4 is made of a steel with E-200 GPa…

Q: If A=0.375 inch, B=0.923 inch, C=1.0992 inches, find G A 기사 W -|×|-> G- -B- -C- F E-

Question

### Beam Support Reaction Calculation

#### Problem Statement:
The beam is supported by a pin at A and a roller at B, and it supports a triangular distributed load and a point load. Determine the support reaction at B. Support your answer with an appropriate Free Body Diagram (FBD) and equilibrium equation(s).

#### Diagram:
The beam is detailed as follows:
- A point load of 10 kN is applied at the center of the beam.
- A triangular distributed load with a peak value of 10 kN/m is applied across the length of the beam.
- The length of the beam is 6 meters, with the beam segmented into 3 meters on either side of the central node where the point load is applied.
- Support A is a pin support allowing rotational but not translational movement.
- Support B is a roller support allowing horizontal translational but not vertical movement.

#### Diagram Analysis:
The diagram shows the following:
- A skier-shaped distributed load is represented from point A to point B, peaking at the center.
- The uniformly distributed load is symmetrical about the center of the beam.
- The specific supports are clearly marked - A being a pin support and B being a roller support.

#### Choices:
- 35 kN
- 20 kN
- 15 kN
- 10 kN
- None of the above

Select the correct support reaction at B based on calculations.

#### Free Body Diagram (FBD) and Equilibrium Equations:

1. **Calculate the resultant of the triangular load:**
- Resultant load (R) of the triangular distributed load = \(\frac{1}{2} \times \text{Base length of distribution} \times \text{Height of triangle} \Rightarrow \frac{1}{2} \times 6 \text{ m} \times 10 \text{ kN/m} = 30 \text{ kN}\)
- Location of the resultant load from point A = \(\frac{\text{Length}}{3} = \frac{6}{3} = 2 \text{ m from A}\)

2. **Equilibrium Equations:**
- Sum of vertical forces (\( \Sigma F_y = 0 \)):

\[
R_A + R_B - 10 - 30 = 0
\]
\[
R_A + R_B = 40 \text{ k

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Concept and procedure used will be mentioned

VIEW

Step 2: Equilibrium condition is applied

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

c) Sketch the stress distribution in the section X-X
Q.3) Determine Ixx and lyy for the composite section shown below. 50 mm 25 mm 30 mm 25 mm 50 mm 50 mm
Part I. Shorter problems focused on the fundamentals a. For the image at the right, the coordinate angles are a = 57°, ẞ= 121°, y=49°, and the point along a-a is (15,-6,3). What is the angle between lines a-a and b-b? Z b-b B LL F a (x,y,z) a-a Y b. If the magnitude of the force, F-3121bf, what is the magnitude projected along the a-a axis? y
answer this; The numerical value of ? can be calculated as mm