### Problem Statement:A half section of pipe rests on a frictionless horizontal surface as shown. If the half section of pipe has a mass of 21 kg and a diameter of 300 mm, determine the bending moment at point \( J \) when \( \theta = 90^\circ \).### Diagram Explanation:The diagram shows a half section of a circular pipe labeled with points \( B \), \( O \), \( J \), and \( C \). The angle \( \theta \) is indicated as \( 90^\circ \) between the line \( OJ \) and the horizontal line \( OC \). The radius of the half circle (\( r \)) is marked on the diagram.### Solution:The bending moment is calculated to be **9.837 N·m** in the **clockwise direction**.

Cable is the flexible member which is design to withstand the concentrated and distributed and tension in the member also. Formula to calculate the weight of the pipe is as below, W=mg Here, W is weight of the pipe, m is mass of the pipe and g is acceleration of gravity. Show the free body diagram as below; here, B=J@θ=90° Calculate the support reaction at C as below: ∑Fy=0 RC-W2=0RC=W2 Calculate the weight of the pipe as below: W=mg=21 kg×9.81 m/s2=206.01 N Show the section XX in the pipe as below: Calculate the at distance at the weight is acting as below: x=2rπ=2D2π=2×3002π=95.493 mm Calculate the moment at point J as below: ∑MJ=0 M+RC×D2-W2x¯=0M+206.012×300 mm2-206.01 N295.493 mm=0M=-5,614.494 N·mmM=5614.494 N·mm(clockwise)

Engineering

Civil Engineering

A half section of pipe rests on a frictionless horizontal surface as shown. If the half section of pipe has a mass of 21 kg and a diameter of 300 mm, determine the bending moment at point Jwhen e = 90°.

A half section of pipe rests on a frictionless horizontal surface as shown. If the half section of pipe has a mass of 21 kg and a diameter of 300 mm, determine the bending moment at point Jwhen e = 90°.

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: Learning Goal: The crate shown is held against wedge B by a spring. The spring is 95.5% of its…

A: Step 1:Step 2:

Q: The crane BC shown below lifts a load of W. The weight of the crane is 0.5W. Determine the…

Q: The mobile crane (weight = 48 kN) shown in the figure moves across the bridge of length, / = 14 m.…

A: We will find distance of resultant load from rear load. Resultant will be 3/4th distance.

Q: In the figure shown, El is contant. Determine the Moment at A in kNm. 100 kN 50 kN/m Sm D 3m 3m 4m O…

Q: The bar below is subjected to uniaxial tension. Assuming that the bar material behaves elastically,…

Q: Problem 2 Determine: (1) What is the torque in tube (G=100 GPa) and rod (G=45 GPa)? (2) What is the…

A: Given data: Gtube = 100 GPa Grod = 45 GPa L = 1m D = 60 mm

Q: Determine the minimum force P required to push the crate up the plane. The crate has a mass of 28 kg…

A: The crate is assumed to be stable, then the force applied to move it upward can be calculated by…

Q: 2. *The frame shown is pinned at the supports. The relative plastic moments are given. If M has the…

Q: P

Q: The beam in Figure 2 is pin supported at A and roller supported at B. Calculate an equivalent…

Q: Learning Goal: The crate shown is held against wedge B by a spring. The spring is 95.5% of its…

A: First, we need to calculate the compression of the spring. The spring is 95.5% of its original…

Q: 6–70. Determine the horizontal and vertical components of force at pins B and C. The suspended…

A: Take moment about C:∑ MC=0W2.8-T0.2+FB=075×9.81×2.8-75×9.81×0.3+FB1.522+1.522=0FB=1532.8 N

Q: A fixed crane with a mass of 2000 kg uses a stainless steel cable (Yield Strength = 210 MPa) to lift…

A: Given Mass of crane=2000kg Yield strength=210MPa Mass to be lifted=2400kg

Q: Beam AB has a negligible mass and thickness, and supports the 200-kg uniform block as shown in…

Question

100%

### Problem Statement:

A half section of pipe rests on a frictionless horizontal surface as shown. If the half section of pipe has a mass of 21 kg and a diameter of 300 mm, determine the bending moment at point \( J \) when \( \theta = 90^\circ \).

### Diagram Explanation:

The diagram shows a half section of a circular pipe labeled with points \( B \), \( O \), \( J \), and \( C \). The angle \( \theta \) is indicated as \( 90^\circ \) between the line \( OJ \) and the horizontal line \( OC \). The radius of the half circle (\( r \)) is marked on the diagram.

### Solution:

The bending moment is calculated to be **9.837 N·m** in the **clockwise direction**.

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

Trending now

This is a popular solution!

Step by step

Solved in 2 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

A horizontal beam of length 3.00 m and mass 2.00 kg has a mass of 1.10 kg and width 0.170 m sitting at the end of the beam (see the following figure). What is the torque of the system about the support at the wall? Wall support 3 m, 2 kg 0.17 m. 1.1 kg Submit Answer Tries 0/40 4
The timber member of Example 1 is used as a simply supported beam on a 16-ft span carrying a uniformly distributed line load of 400 lb/ft as shown below. Calculate the maximum induced bending stress. Neglect the weight of the beam.
3. Please show your complete solution.
Hydrostatic forces on inclined plane surface 6Q. A rectangular gate having a width of 4 ft is located in the sloping side of a tank as shown in the figure. The gate is hinged along its top edge and is held in position by the force P. Neglect the friction at the hinge and weight of the gate. Determine the required value of P. V Water Hinge Gate 60° 6 ft 10 ft
The circular shaft AB consists of a 18 mm diameter solid steel cylinder in which a 8 mm diameter hole has been drilled from end B up to point C. The shaft is attached to fixed supports at each end, and a 150 Nm torque is applied at C. The torque reaction at A is 50 Nm. Determine the ratio of lengths L₁/L₂. Input your answer to two decimal places. 4₁ L₂ A 150 Nm B
A brass disk of radius 0.7 ftft and weight 459 lblb sits in a right-angle groove made of granite. The disk makes contact with the groove at AA and BB and the coefficient of static friction at both points are μS=μS= 0.39 A couple moment of MM is applied to the disk as shown.
A rectangular steel bar, 20 mm wide by 40 mm high and 4m long, is simply supported at its ends. If the density of steel is 7850 kg/ m3, determine the maximum bending stress caused by the weight of the bar.
Problem 2: A solid circular shaft is acted upon by the torques as shown. If G= 12, 000 ksi determine: a. Rotation of wheel D with respect to A. b. Shear stress at point E Diameter of shaft: A-B = 2in C-D = 2in B-C = 4in T1=3 m in.kips T2=7 m in.kips Ta= 8.5 Tm in.kips T4= 4.5 m in.kips T1 T2
Problem 8.45 The three bars have a weight of WA = 20 lb, WB = 40 lb, and Wc = 60 lb, respectively. (Figure 1) Figure 1 of 1 > CPCB=0.5 BMBA=0.3 A MAD=0.2 P D Part A If the coefficients of static friction at the surfaces of contact are as shown, determine the smallest horizontal force P needed to move block A. Express your answer to three significant figures and include the appropriate units. μA P= Value Submit Units My Answers Give Up ? Provide Feedback Continue
Structure analysis