**Example Problem: Finding the Resultant of Forces****Problem 3.37:**Objective: Determine the resultant of the three forces acting on the square plate.**Description:**The diagram displays a square plate placed in a three-dimensional coordinate system with axes labeled as \(x\), \(y\), and \(z\).- Dimensions of the plate: \(1.83 \, \text{m} \times 1.83 \, \text{m}\).- Three forces are applied at different points on the plate.**Forces:**1. **311.4 N Force:** - Direction: Along the positive \(z\)-axis. - Application point: 229 mm from both the \(x\)- and \(y\)-axis in the plane.2. **267 N Force:** - Direction: Along the negative \(z\)-axis. - Application point: At the center of the square plate.3. **44.5 N Force:** - Direction: Along the negative \(y\)-axis. - Application point: 229 mm from the \(x\)-axis on the side of the square parallel to the \(x\)-axis.**Task:**Find the resultant vector of these forces by considering their magnitudes and directions. Use vector addition and consider both the spatial orientation and point of application for precise calculation.

Introduction- A resultant force in engineering is a single force and corresponding torque derived by…

Answered: 311.4 N 44.5 N 229 mm 229 mm 267 N 1.83…

311.4 N 44.5 N 229 mm 229 mm 267 N 1.83 m 1.83 m Figure P3.37 3.37 Find the resultant of the three forces acting on the square plate.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The member shown in the figure below is pin connected at A and rests against a smooth support at B.…

Q: Analyze the given frame. P units in kN/m P 3m P 5m 4m pin 0.7P 4m

Q: y | 1 A -X 25' 15⁰ 40° C F = 13 kips 15' B 11 .n

Q: When the two forces are placed on the beam, the diameter of the steel rod (E-200GPa) BC decreases…

Q: 3. Determine the moment of the 800-N force about point A. 800 N 38° 0.6 m 0.5 m

Q: Two cylindrical rods, one of steel and the other of brass, are joined at Cand restrained by rigid…

A: RA×180×1000π4×402×200×1000-60-RA×180×1000π4×402×200×1000-60-RA×100×1000π4×302×105×1000-100-RA×100×10…

Q: The force, F = (17i+ 27j + -79k) lb, is attached at the end of a pipe at point, (-20, 15, 43) ft.…

A: The given figure is shown below:

Q: 200 400 200 N m E D. 200 Dimensions in mm Determine the magnitude of the force (in N) of the…

Q: Determine the couple moment acting on the pipe shown .Segment AB is directed 30° below the x–y…

A: The couple moment acting on the pipe will be same as calculated about any point. So let us consider…

Q: 2. Find the reaction at B. Hint: A is a pin, B is a roller 40 lb 50 lb 10 in. 30° 4 in. B 20 in. A

A: Given: L = 20 in H = 10 in Vertical load = 40 lb Horizontal load = 50 lb To find: The reaction at B

Q: Problem 1: Determine the resultant of the four forces and one couple, which act on the plate shown.…

A: Feel free to ask any doubt.

Q: Replace the loading on the frame by a single resultant force. Suppose that F₁ = 300 N F₂ = 500 N,…

A: Given: Required : Angle between resultant and x axis Location of resultant on AB

Q: The distance s = 4 m. If we represent the force and the 200 N-m couple by a force F acting at the…

Q: THE RESULTANT OF THE THREE CONCURENT FORCES ACTING ON THE EYEBOLT IS THE FORCE R=-800j-lb. DETERMINE…

A: Given data in question Point forces Slope X-Y plane Resultant = - 800j lb i.e, acting along y axis…

Q: Determine the magnitude of the force which member CD exerts on the pin at C. A 36% B 0.49 m Answer:…

Concept explainers

Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.

Question

**Example Problem: Finding the Resultant of Forces**

**Problem 3.37:**

Objective: Determine the resultant of the three forces acting on the square plate.

**Description:**

The diagram displays a square plate placed in a three-dimensional coordinate system with axes labeled as \(x\), \(y\), and \(z\).

- Dimensions of the plate: \(1.83 \, \text{m} \times 1.83 \, \text{m}\).
- Three forces are applied at different points on the plate.

**Forces:**

1. **311.4 N Force:**
- Direction: Along the positive \(z\)-axis.
- Application point: 229 mm from both the \(x\)- and \(y\)-axis in the plane.

2. **267 N Force:**
- Direction: Along the negative \(z\)-axis.
- Application point: At the center of the square plate.

3. **44.5 N Force:**
- Direction: Along the negative \(y\)-axis.
- Application point: 229 mm from the \(x\)-axis on the side of the square parallel to the \(x\)-axis.

**Task:**

Find the resultant vector of these forces by considering their magnitudes and directions. Use vector addition and consider both the spatial orientation and point of application for precise calculation.

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The steel pipe (G - 75GPA) has an outer diameter of 50mm and an inner diameter of 30mm. It is fixed at A and three torques are applied to it as shown. Solve the rotation of the free end with respect to the fixed end. 200mm 250mm 300mm 30 N-m 20 N.m 80 N-m O 0.000749rad O 0.000674rad O 0.00624rad O 0.00142rad
The tank truck is filled to its top with water. Determine the magnitude of the resultant force on the elliptical back plate of the tank, and the location of the center of pressure measured from the top of the tank.
5- Replace the forces acting on the plate by a wrench. Specify the force and couple moment for the wrench and the point P(x, y) where its line of action intersects the plate. F, = |-300k) N %3D Fe= [200j| N 2m 500N 30 F = (4001) N
Ans - Normal force is -41.25 kN. Also find moment at C.
2) The box beam is constructed from four boards that are fastened together using nails spaced along the beam every 2 inches. The beam is subjected to a maximum internal shear force of 475 lb. a) Locate the neutral axis and compute the moment of inertia for the cross-section in in*. [Ans. to check: 1 = 197.7 in¹] b) Calculate the first moment of area in in³ at each of the two connection interfaces (i.e. once for the top flange and once for the bottom board). Draw a clear sketch of the cross-section showing the neutral axis and the necessary dimensions to calculate the first moment of area. [Ans. to Check: Qtop = 31.2 in³] c) Compute the shear flow occurring between the wood and the nails at each of the two connection interfaces in lb/in. [Ans. to Check: qbottom = 49.0 lb/in] d) Design the section by choosing the required shear strength of the nails (in lb). Check both interfaces but choose only one assuming you would like to use the same nails for the entire beam. [Ans. to check: 75 lb…
The horizontal shaft AD is attached to a fixed base at D and is subjected to the torques shown. A 44-mm-diameter hole has been drilled into portion CD of the shaft. Knowing that the entire shaft is made of steel for which G = 77 Gpa, determine the angle of twist at end A. 44mm -0.6m 60mm C 2000Nm B 30mm 0.2m 0.4m 250Nm A
2.1.5
asap