**Problem 5-80:** The bent rod is supported at points \( A \), \( B \), and \( C \) by journal bearings. Determine the components of reaction at the bearings if the rod is subjected to a 200-pound vertical force and a 30 pound-foot couple moment. The bearings are properly aligned and exert only force reactions on the rod.**Diagram Explanation:**- The diagram shows a three-dimensional view of the bent rod.- The rod has three segments and forms an L-shape with bends at points \( B \) and \( C \).- Journal bearings are present at points \( A \), \( B \), and \( C \).- A 200-pound force is acting downward vertically from point \( B \).- A 30 pound-foot couple moment is applied at the top right segment of the rod at an angle of 45 degrees.- Measurements are provided for the rod's segments: - From \( A \) to \( B \) vertically, a distance of 2 feet. - Between \( B \) and \( C \) horizontally along the x-axis, a distance of 1 foot. - From \( C \) to the end vertically, a distance of 1 foot.**Axes:**- The diagram includes a coordinate system with axes labeled \( x \), \( y \), and \( z \): - Positive \( x \)-axis runs horizontally to the right. - Positive \( z \)-axis runs vertically upwards. - Positive \( y \)-axis runs horizontally backward, into the diagram.

On a rod, a load of 200 lb and a moment of 30 lb-ft are applied. This load and the moment are resisted by journal bearings at A, B, and C. In 3-D journal bearing resists only by 2 perpendicular reactions, reaction along the span of the rod section is taken as zero. To determine the component reactions at the bearings. Ay, AzBx, ByCx, Cz Since it is in 3-D we have 6 equilibrium conditions. Thus, we have 6 variables and 6 equilibrium conditions. The reactions on the bearings are as shown We have 6 equilibrium equations ∑Fx=0Bx+Cx=0 -(1)∑Fy=0 Ay+By=0 -(2)∑Fz=0 Az+Cz-200 =0 -(3) ∑MAx=0-By×1+Cz×1=0 -(4)∑MAy=0-200×2+Bx×1+Cx×3+Cz×2+30cos45° =0 -(5)∑MAz=0 -By×2-Cx×1+30sin45° = 0 -(6) From (5) and (1)-400+2Cx+2Cz+30cos45°=0 -(7)From (4) and (6)-2Cz-Cx+30sin45°=0 -(8)From (7) and (8)Cx=357.57 lbCz=-168.18 lb Thus, Bx=-Cx=-357.57lbBy=Cz=-168.18lbAy=-By=168.18lbAz=-Cz+200 = 168.18+200 =368.18lbThe reaction due to journal bearings Ay=168.18lbAz=368.18lbBx=-357.57lbBy=-168.18lbCx=357.57lbCz=-168.18lb

Engineering

Civil Engineering

*5-80. The bent rod is supported at A, B, and C by journal bearings. Determine the components of reaction at the bearings if the rod is subjected to the 200-lb vertical force and the 30 lb-ft couple moment. The bearings are in proper alignment and exert only force reactions on the rod. 2 ft 1 ft Z 1 ft B ti 200 lb 2 ft 30 lb. ft 45°

*5-80. The bent rod is supported at A, B, and C by journal bearings. Determine the components of reaction at the bearings if the rod is subjected to the 200-lb vertical force and the 30 lb-ft couple moment. The bearings are in proper alignment and exert only force reactions on the rod. 2 ft 1 ft Z 1 ft B ti 200 lb 2 ft 30 lb. ft 45°

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: ness of the be 6 kN 2 m F 3 m A Owl

Q: 9-5. Determine the reactions at the supports, then draw the moment diagram. The moment of inertia…

Q: Frame ABCDE shown in Figure Q2 is supported by a fixed connection at B, roller at D and pinned at A.…

A: Solution:Solve using Moment distribution method:(a)Distribution Factor:JointMemberRelative…

Q: 5. Bar ABD and bar CEF are connected using a pin at point C and a strut member BE to support a 9000…

Q: F9-5. The beam is subjected to the load at its end Determine the maximum principal stress at point…

A: Given : Determine the maximum principle stress at point B ? Concept - Principle stresses are taken…

Q: Determine the reactions for the beam shown using the Force Method. The support at A is fixed and a…

Q: The compound beam is fixed at A and supported by a rocker At B and C. There are hinges (pins) at D…

Q: (Mc)y = -226 N-m The shaft is supported at its ends by two bearings A and B and is subjected to the…

Q: 5-78. The bent rod is supported at A, B, and C by smooth journal bearings. Compute the x, y, z…

A: Introduction- A reaction force opposes an action force by acting in the opposite direction. During…

Q: 4m 60⁰ 2kN C 60⁰ 2kN B 8m 30⁰ 2kN A

A: Cut the x-x plane as shown in below solution. Applying equilibrium equation in both x and y…

Q: *11-16. The members of the mechanism are pin connected. If a vertical force of 800 N acts at A,…

A: Given : Vertical Force = 800N Determine the angle thetha for equilibrium ?

Q: В 10in 10in D 1.5in 2in

Q: w = 2P/L A B C 0.6L 0.2L 0.2L

Q: e) Bx (no need to indicate direction since this is an internal force) f) Net force in y-direction at…

A: A frame is hinged at A and C and an internal hinge is present at B To determine, The internal…

Q: The ABC rigid bar is suspended by the BD rigid bar and by an A pin that connects it to the other ADE…

A: Draw the free body diagram of section ABC.

Q: 4-5. The beam AB will fail if the maximum internal moment at D reaches 800 Nm or the normal force in…

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

Concept explainers

Braced cuts

The braced cut is a method of providing lateral support to the soil in foundation trenches, to prevent the trenches from deformation by the caving in of soil and resisting it from moving laterally. During shallow excavation in firm soil, generally, slopes are provided to resist the caving in of soil. During shallow excavation in soft soil and deep excavation, the chances of caving in of soil increase. Hence, it becomes necessary to make a provision to resist the deformation of trenches due to caving in of soil. The braced cut is the method used for such conditions. The excavation using braced cuts is a bit uneconomical as compared to the traditional open-cut excavation method but provides better safety than the cut excavation method.

Question

**Problem 5-80:**

The bent rod is supported at points \( A \), \( B \), and \( C \) by journal bearings. Determine the components of reaction at the bearings if the rod is subjected to a 200-pound vertical force and a 30 pound-foot couple moment. The bearings are properly aligned and exert only force reactions on the rod.

**Diagram Explanation:**

- The diagram shows a three-dimensional view of the bent rod.
- The rod has three segments and forms an L-shape with bends at points \( B \) and \( C \).
- Journal bearings are present at points \( A \), \( B \), and \( C \).
- A 200-pound force is acting downward vertically from point \( B \).
- A 30 pound-foot couple moment is applied at the top right segment of the rod at an angle of 45 degrees.
- Measurements are provided for the rod's segments:
- From \( A \) to \( B \) vertically, a distance of 2 feet.
- Between \( B \) and \( C \) horizontally along the x-axis, a distance of 1 foot.
- From \( C \) to the end vertically, a distance of 1 foot.

**Axes:**

- The diagram includes a coordinate system with axes labeled \( x \), \( y \), and \( z \):
- Positive \( x \)-axis runs horizontally to the right.
- Positive \( z \)-axis runs vertically upwards.
- Positive \( y \)-axis runs horizontally backward, into the diagram.

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 Introduction and given data

VIEW

Step 2 Calculations

VIEW

Step 3 Final answer

VIEW

Trending now

This is a popular solution!

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

Similar questions

Problem 3: Inputs: ● F = 1800 N P = 600 N (same as previous problem) a = b = 3 m (same as previous problem) c = 8 m (same as previous problem) The frame is comprised of two members. All joints are pinned. Compute the reactions at pins A and C, as well as the forces at pin B. P с a) Ax (Indicate left/right) b) Ay (Indicate up/down) c) Cx (Indicate left/right) d) Cy (Indicate up/down) e) Bx (no need to indicate direction since this is an internal force) f) a F B b C Net force in y-direction at pin B, using the FBD for bar BC. This is not necessarily By by itself. Again, no need for direction here.
(6) Determine the reactions at A and B for the beam subjected to the uniform load distribution. Draw the N,V,M diagrams. y I 4 kN/m L--x B 500 mm- A) A 400 mm-
The bar is snugly fit between points C and A before the loading is applied at Collar B. Assume E = 200 GPa for the steel. The circular bars in the assembly are solid. The bars are solid with a diameter of 15 mm. Assume a fixed rigid support at C and A. A C В 6 kN 3 m 2 m A) Show the FBD and compatibility equation for this problem. B) Determine the support reactions at A and C. (Horizontal forces only) Left side: Fc = Right side: FA =
2. The scoop holds a 2,000 N weight concentrated at G. If all links are in duplicate, determine the vertical reaction at joint K (Fxy). Note that HL is connected to the truck body and LKJ is a single member. -320 mm 260 mm B 180 mm 100 mm D 160 mm K 1040 mm 380 mm |200 mm 1120 mm Answer: FKy = 403.3613 N ↑