The boom supports the two vertical loads,F, := 800 N and F2= 350 N. Neglect the sizeof the collars at D and B and the thickness ofthe boom.(a) Determine the average normal stress inthe 20 mm diameter cable BC.4(b) Determine the average shear stress in the10 mm diameter pin A.(c) Suggest an appropriate diameter for cableBC if it is made from material havingtensile yield stress of o, = 250 MPa.1 mB1.5 mD.F230°AF,

Answered: Image /qna-images/answer/162f322a-04c0-4006-b468-443c4b8e9462.jpg

The boom supports the two vertical loads, F = 800 N and F2 = 350 N. Neglect the size of the collars at D and B and the thickness of the boom. (a) Determine the average normal stress in 4 the 20 mm diameter cable BC. (b) Determine the average shear stress in the 10 mm diameter pin A. 1 m B (c) Suggest an appropriate diameter for cable BC if it is made from material having tensile yield stress of o, = 250 MPa. 1.5 m F2

The boom supports the two vertical loads, F = 800 N and F2 = 350 N. Neglect the size of the collars at D and B and the thickness of the boom. (a) Determine the average normal stress in 4 the 20 mm diameter cable BC. (b) Determine the average shear stress in the 10 mm diameter pin A. 1 m B (c) Suggest an appropriate diameter for cable BC if it is made from material having tensile yield stress of o, = 250 MPa. 1.5 m F2

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.4.17P: Two separate cables AC and BC support a sign structure of weight W = 1575 lb attached to a building....

See similar textbooks

Related questions

Q: The rectangular bar is connected to the support bracket with a 17-mm-diameter pin. The bar width is…

A: The maximum value of Pmax that can be supported by the structure is 128kN

Q: For the diagram shown, if the load P = 14 kips, determine: a. the normal force in the member Bar BD…

A: Given data: the applied loadP=14 kipsthe diameter of the pin Bd=0.5 intotal length of the beamL=10…

Q: Question 4: Two wrenches are used to tighten the pipe. If the pipe is made from a material having an…

Q: Problem 6. The A-36 steel pipe has an outer radius of 20 mm and an inner radius of 15 mm. If it fits…

A: Given: The outer radius of pipe ro=20 mm=0.02 m The inner radius of pipe ri=15 mm=0.015 m Distance…

Q: The rectangular bar is connected to the support bracket with a 12-mm-diameter pin. The bar width is…

Q: The pin-connected frame supports the loads P1 = 5 kN and P2 = 10 kN. Determine for an angle of α =…

Q: The rectangular bar is connected to the support bracket with a 24-mm-diameter pin. The bar width is…

A: Diameter of pin, d=24 mmWidth of the bar, w=80 mmThickness of the bar, t=20 mmDimensions of each…

Q: The rectangular bar is connected to the support bracket with a 11-mm-diameter pin. The bar width is…

A: Diameter of pin, d=11 mm=0.011 mBar width, w=60 mm =0.060 mBar thickness, t=10 mm=0.010 mThe average…

Q: The rectangular bar is connected to the support bracket with a 26-mm-diameter pin. The bar width is…

A: Given data:- Diameter of pin =26mm. The bar width (w)= 60 mm the bar thickness (t) = 15 mm. Each…

Q: 2. The bar AC is supported by a pin at A and a cable that runs from B to E around the frictionless…

A: Given data: The allowable stress in the cable is, σa=5.2 ksi. The weight of the cylinder is, w=890…

Q: The rectangular bar is connected to the support bracket with a 27-mm-diameter pin. The bar width is…

Q: 3. The steel pipe AB has a 72 mm outer diameter and a 5 mm wall thickness. Link CDE is rigidly…

Q: Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 6…

Q: The rectangular bar is connected to the support bracket with a 17-mm-diameter pin. The bar width is…

Q: The rectangular bar is connected to the support bracket with a 10-mm-diameter pin. The bar width is…

Q: Determine the cross-sectional area of the shaft. Answer: A = 1 mm²

A: Given that :Vertical shaft diameter, d=20 mmthickness of plate, t=21 mmCollar thicknesses,…

Q: The rectangular bar is connected to the support bracket with a 17-mm-diameter pin. The bar width is…

Q: Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 6…

Q: The lap joint is connected by three 25-mm-diameter rivets. Assuming that the axial load P = 75 kN is…

Q: Eight steel cables (with equal distance to each other) are supporting a circular heavy moulding of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A simple pin-connected truss is loaded and supported as shown. The truss is constructed from three…

Q: The rectangular bar is connected to the support bracket with a 19-mm-diameter pin. The bar width is…

A: The diameter of pin, d = 19 mmThe bar width, b = 70 mmThe thickness, t = 15 mmThe average shear…

Q: The lap joint is connected by three 20-mm-diameter rivets. Assuming that the axial load P=50 kN is…

A: Welding joints are used to join two different materials together. There are different types of…

Q: Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 6…

Q: The rectangular bar is connected to the support bracket with a 14-mm-diameter pin. The bar width is…

Q: The rigid bar AB of negligible weight is supported by a pin at O. When the two steel rods are…

Q: Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 8…

Q: Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 9…

A: According to the given data Diameter of the BD member =D=9 mm Pin at B is in double shear with…

Q: The rectangular bar is connected to the support bracket with a 19-mm-diameter pin. The bar width is…

Q: Answer: Pmax i kN

Q: The horizontal bar shown is pinned at O and is supported with a helical spring at L1 from O. L1=2m,…

Q: 1. A 60-mm diameter steel tube with a wall thickness of 3 mm just fits in a rigid hole. Determine…

Q: Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of…

Q: Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 6…

Question

The boom supports the two vertical loads,
F, :
= 800 N and F2
= 350 N. Neglect the size
of the collars at D and B and the thickness of
the boom.
(a) Determine the average normal stress in
the 20 mm diameter cable BC.
4
(b) Determine the average shear stress in the
10 mm diameter pin A.
(c) Suggest an appropriate diameter for cable
BC if it is made from material having
tensile yield stress of o, = 250 MPa.
1 m
B
1.5 m
D.
F2
30°
A
F,

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

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 7 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

Two separate cables AC and BC support a sign structure of weight W = 1575 lb attached to a building. The sign is also supported by a pin support at O and a lateral restraint in the '-direction at D. (a) Find the tension in each cable. Neglect the mass of the cables. (b) Find the average stress in each cable if the area of each cable is Ae= 0.471 in2.
2. The bar AC is supported by a pin at A and a cable that runs from B to E around the frictionless pully at D. If the allowable tensile stress oallow = 5.2 ksi for the cable, determine the required minimum diameter (inch) of the cable. The cylinder (connected at C) weighs 890 lb. Neglect weight and thickness of the bar AC. D 4 3 A C 5 ft 5 ft -4 ft 890 lb
The rigid bar AB of negligible weight is supported by a pin at 0. When the two steel rods are attached to the ends of the bar, there is a gap D= 4 mm between the lower end of the left rod and its pin support at C. Compute the stress in the left rod after its lower end is attached to the support. The cross-sectional areas are 300 mm2 for rod AC and 250 mm2 for rod BD. Use E= 200 GPa for steel. lo/0 0.75 m 1.5m 2 m ANSWER: MPa
The collar bearing shown is subject to a 500 kN force. 500 kN The collar is 25 mm thick. Find d and D (to the nearest mm) so that the allowable normal stress in the column collar bearing of o = 280 MPa, the allowable shear stress in the collar collar of t = 200 MPa and the allowable bearing stress between the collar and the support of ob = 70 MPa is not exceeded.
(8) The homogeneous bar is supported by a smooth pin at C a cable that runs from A to B around the smooth peg at D as shown. Find the stress in the cable if its diameter is 15mm and bar weighs 6,000 kg. 5m B 5m A
number 5
Three steel plates, each 16 mm thick and width of 300 mm are joined by two 20 mm rivets as shown. Assume the rivet hole diameter = 23 mm. A. If the load P= 50 KN, determine the tensile stress of the plates. B. If the load P= 50 KN, determine the largest bearing stress acting on the rivets. C. If the ultimate shear stress for the rivets is 180 MPa, what ultimate force Pu is required to cause the rivets to fail in shear? Neglect friction between the plates.
3. The composite bar consists of a 20-mm diameter steel segment AB and 50-mm diameter brass end segments DA and CB. Find the stress on each segment due to the applied loads. E of steel is 200 GPa and E of brass is 101 GPa. 250mm 250mm 250mm 50mm 20mm 50mm 75KN 100KN brass steel brass D B C 75KN 100KN
Eight steel cables (with equal distance to each other) are supporting a circular heavy moulding of diameter 3m from an overhead point. If the moulding weighs 5 kN/m and the attachment point is 4m above it, determine the following:a. Calculate the tension of the cable.b. Determine the diameter of the wire if the allowable stress is 125 MPa.c. If the diameter of the cable is 10 mm, find the deflection of the steel cable.d. If the diameter of the cable is 10 mm, find the vertical displacement of the molder.
3. The steel pipe AB has a 72 mm outer diameter and a 5 mm wall thickness. Link CDE is rigidly attached to the pipe. Point K is at the top of the pipe, at 150 mm from point D. Neglect the stress concentrations. Material is Hot Rolled Steel, with E = 207 x 10° Pa, G = 79 × 10° Pa, Sy = 200 MPa, Su = 414 MPa. The force at E is steady, with FE = 9 kN (down). The force at C is steady, with Fc = 3 kN (up). Section Properties for bar OD: IOD = 594 × 10³ mm = 594 × 10-9 m*; JoD = 1188 × 10³ mm4 = 1188 × 10-9 mª; %3D Section for bar DE: IDE 50 × 10-9 mª Determine the principal stresses at point K using Mohr circle. A 3 kN K 120 mm 9 kN 150 mm E 120 mm
Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 6 mm, and it is supported by double- shear pin connections at B and D. The pin at bracket A is a single-shear connection. The pin at B is 9 mm in diameter. Assume a = 590 mm, b = 295 mm, h = 360 mm, and 0= 60°. If the normal stress in tie rod (1) cannot exceed 190 MPa and the shear stress in pin B cannot exceed 140 MPa, determine the maximum load Pmax that can be supported by the structure. D (1) h a ● b
Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 6 mm, and it is supported by double-shear pin connections at B and D. The pin at bracket A is a single-shear connection. The pin at B is 9 mm in diameter. Assume a = 560 mm, b = 280 mm, h = 350 mm, and 0= 55°. If the normal stress in tie rod (1) cannot exceed 190 MPa and the shear stress in pin B cannot exceed 120 MPa, determine the maximum load Pm that can be supported by the structure. max D (1) a Answer: Pmax kN = B b P