### Problem StatementTwo couples act on the frame. If \( d = 4 \, \text{ft} \), determine the resultant couple moment. Compute the result by resolving each force into x and y components and (a) finding the moment of each couple and (b) summing the moments of all the force components about point B. **Solution:** \( M_c = 53.4 \, \text{lb-ft cw} \).### Diagram ExplanationThe diagram shows a frame with two forces acting on it. - **Dimensions:** - Distance along the x-axis from point A to point B is 1 ft. - Vertical distance from base to point B is 4 ft. - Horizontal beam from B to the end is 4 ft. - Vertical beam from the horizontal beam to its base is 3 ft.- **Forces:** - A 40 lb force is applied at a 30° angle from the horizontal at point A. - A 60 lb force is applied at point B at a 4:3 ratio angle (implying that there might be a similar triangle relationship here).### Analysis1. **Resolve Forces into Components:** - Break down each force into x and y components using trigonometric functions (sine and cosine).2. **Calculate Moment:** - Moments are calculated as the product of force and the distance perpendicular to the line of action of the force. - Sum the moments created by each component about point B.3. **Resultant Moment:** - Combine these to find the resultant couple moment, confirming the solution: \( M_c = 53.4 \, \text{lb-ft cw} \).This task demonstrates the application of static equilibrium and force resolution techniques to determine moments in mechanical systems.

Two couples act on the frame. If d = 4 ft, determine the resultant couple moment. Compute the result by resolving each force into x and y components and (a) finding the moment of each couple and (b) summing the moments of all the force components about point B. Solution: Mc = 53.4 lb-ft cw -4 ft -3 ft 60 lb 40 lb B 1 ft 30/ 60 lb 30 2 ft 40 lb

Two couples act on the frame. If d = 4 ft, determine the resultant couple moment. Compute the result by resolving each force into x and y components and (a) finding the moment of each couple and (b) summing the moments of all the force components about point B. Solution: Mc = 53.4 lb-ft cw -4 ft -3 ft 60 lb 40 lb B 1 ft 30/ 60 lb 30 2 ft 40 lb

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 cantilever beam AB is joined by a hinge at B to a second beam BC. For the loads and moments…

A: Given : L = 4m , P = 4kN M1 = 50 kNm and M2 = 5 kNm To Find : Max. absolute bending moment in beam…

Q: solve q1 by ues method of joint and show me all steps and dont forget any joint please

A: Force in all members of the truss

Q: 1. The cantilever beam in Figure 1 is fixed A, and is loaded with a distributed load from B to C and…

A: Given A cantilever beam Required Support reactions, shear-moment equations and diagrams

Q: EXAMPLE 6-2 Draw the shear and moment diagrams for the beam shown in Fig. 6–5a. A L B Mo (a) L 2

A: Draw the shear force and bending moment diagram of the beam.

Q: Two couples act on the frame. If d = 4 ft, determinethe resultant couple moment. Compute the result…

Q: Determine the maximum moment, M, for the beam and loading given if w = 2.2 kip/ft and P = 27 kip. Be…

A: Given data

Q: 6 ft 4 ft Te 4 ft→le– 4 ft→| 2 ft P.

A: Solution Given Data P= 53 kips

Q: The maximum force any member can support is 24 kN in tension and 35 kN in compression, determine the…

A: Given Data : tension force = 24 kN compression force = 35 kN length of ED section = 4 m length of DC…

Q: Use 3 decimal places

A: Step 1:Step 2:Step 3:Step 4:

Q: The bar DA is rigid and is originally held in the horizontal position. The wires are made of 304…

A: Force in rod DE is given by ; FDE = σDE × ADE Stress in DE ; σDE = E × εDE E = Youngs modulus = 29…

Concept explainers

Beams and Frames

A beam is a horizontal structure or a member which is always subjected to transverse shear loads.

Question

### Problem Statement
Two couples act on the frame. If \( d = 4 \, \text{ft} \), determine the resultant couple moment. Compute the result by resolving each force into x and y components and (a) finding the moment of each couple and (b) summing the moments of all the force components about point B.

**Solution:** \( M_c = 53.4 \, \text{lb-ft cw} \).

### Diagram Explanation
The diagram shows a frame with two forces acting on it.

- **Dimensions:**
- Distance along the x-axis from point A to point B is 1 ft.
- Vertical distance from base to point B is 4 ft.
- Horizontal beam from B to the end is 4 ft.
- Vertical beam from the horizontal beam to its base is 3 ft.

- **Forces:**
- A 40 lb force is applied at a 30° angle from the horizontal at point A.
- A 60 lb force is applied at point B at a 4:3 ratio angle (implying that there might be a similar triangle relationship here).

### Analysis
1. **Resolve Forces into Components:**
- Break down each force into x and y components using trigonometric functions (sine and cosine).

2. **Calculate Moment:**
- Moments are calculated as the product of force and the distance perpendicular to the line of action of the force.
- Sum the moments created by each component about point B.

3. **Resultant Moment:**
- Combine these to find the resultant couple moment, confirming the solution: \( M_c = 53.4 \, \text{lb-ft cw} \).

This task demonstrates the application of static equilibrium and force resolution techniques to determine moments in mechanical systems.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 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

Determine the forces in members CG and GH of the symmetrically loaded truss. The forces are positive if in tension and negative if in compression. B 5 m A 77 Answers: CG= i GH = i -5 m 30° 5 m H -6 m L eTextbook and Media G L D -5 m L L L 2 E
Calculate the force in member BG using a freebody diagram of the rigid member ABC. The force is positive if in tension, negative if in compression. E 14' р 14' G 14' 14' 14' 630 lb Answer: BG = i Ib
Q1: - For the frame shown in figure 1 below is subjected to two forces ( P=20 kN and Q=30 kN). Neglecting the weights of the bars, determine all forces that acting on each of the members. Use the two-force principle wherever applicable. 2 m 2 m B. A 60° D. 60° 4 m 2 m
Determine the magnitude of the force (lb) in member EG of the Pratt bridge truss shown if h = 12.2 ft and P = 94.03 lb. Round off only on the final answer expressed in 3 decimal places .
The frame below is loaded as shown, with a pin support at C and a roller pin support at E. Member FADE has a length of 16 ft and member BDG has a length of 7 ft. triangle ABD is an equilateral triangle. When P = 50 lb, find the forces acting on member ABC at points A, B and C. (point H is not relevant to this problem). F ↑ 4 ft 3 ft A B C H Solve the problem and answer the questions that follow. P G E
Determine the vertical and horizontal reactions of each support on the following figures. Assume that the weight of the beam is SN Kilonewton. FN= 78 SN= 51