1 m1 m1 mbB30°0.5 m 0.5 mb-1m75 mm-75 mmA25 mmSection b-bFigure 3 (not to scale)A drum is suspended from the wooden frame ABC as shown in Figure 3. The massof the drum is 20 kg. The frame ABC is supported by the 2 mm diameter, A-36 steelcable DB and by a pin support at A. You are required to:aCalculate all the internal forces acting at the cross section b-b and in cable BD.b Calculate the orientation of the plane and the magnitude of the maximum in-plane shear stress at point F, on section b-b, and represent this condition using astress element.сDetermine the factor of safety (F.S.) of the cable BD for this loading based on themaximum-distortion energy theory (von Mises).

Given Data The mass of the drum is:m=20 kg The supported diamter of frame is :D=2mm Now draw the…

Answered: 1 m 1 m 30° b. 0.5 m 0.5 m b 1m -75 mm-

Engineering

Mechanical Engineering

1 m 1 m 30° b. 0.5 m 0.5 m b 1m -75 mm-

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 1.10.15P: An elevated jogging track is supported at intervals by a wood beam AB (L = 7.5 ft) that is pinned at...

See similar textbooks

Related questions

Q: Problem #3: A double-pipe counter-flow heat exchanger is to cool ethylene glycol (Cp = 2560 J/kg-…

Q: 43 Determine the moment of inertia of the shaded area about the x-axis in two different ways. 4a

Q: Air at 90 kPa and 10oC enters an adiabatic diffuser steadily with a velocity of 180 m/s and leaves…

A: Find , Exit temperature. Concept Apply steady flow energy equation between the inlet and outlet.

Q: Copy of It is proposed to have carbon dioxide (CO2) gas pass through an uninsulated nozzle. The CO2…

Q: A 10 m y 16 kN/m 10 m B T 2 m -X

A: w0= 16 kN/mL= 10 mLtotal= 10+10= 20 mh= 2m

Q: Mohr's Circle At a point, the major principal stress is 80 psi compression and the minor principal…

A: Givenσp1=-80psiσP2=-20psi

Q: Find work done F=2.1 N Displacement=0.23 m

Q: A/43 Determine the moment of inertia of the shaded area about the x-axis in two different ways. 40 ㄸ…

Q: Determine the value of maximum shear stress Maximum principal stress=25.92 MPa Minimum principal…

A: Given data : Data of maximum principal stress=σ1 Data of minimum principal stress=σ2 Computing:…

Q: -8-96. Determine the maximum and the minimum val of weight W which may be applied without causing…

A: Givenμs=0.2μ's=0.3

Q: R134-a enters the condenser of a residential heat pump at 800 kPa and 40°C at a rate of 0.018 kg/s,…

A: Given Pressure, P = 800 kPa Mass flow rate, m = 0.018 kg/s Power, W = 1.2 kW Find COP…

Q: 15.13 Car A is traveling on the circular road at the constant speed of A=70 km/h. At the instant…

A: Given DataVA=70km/h=19.444m/s2VB=90 km/h=25m/s2aB=1.8 m/s2

Q: A 5kg ball and a 7kg ball move on a smooth horizontal plane along a straight line path with velocity…

Q: air compressed 150 thermally from 95kpaa and 7.75m³/min to 600MPAA. Find: a) work non flow b)

Q: A car starting from rest moves along a straight track with an acceleration as show Determine the…

A: Given V=50m/s

Q: A gas-turbine power plant operating on an ideal Brayton cycle has a pressure ratio (P2/P1= P3/P4)…

Q: 9. Outriggers A and D are used to stabilize the crane from overturning when lifting large loads. If…

Q: /sec of wet steam with 0.6MPa and dryness faction of 0.96, undergoes an isochoric process until it…

Q: 3 consecutive carnot engines were designed in such a way that the efficiencies are equal. If the…

Q: 13.81 Consider the stagnation tube of Figure 13.6. If the uncer- tainty in the manometer measurement…

A: Given data CP = 1ρair = 1.25 kg/m3uncertainty in manometer measurement =∆ = ± 0.1 mm Given question…

Q: Identify and illustrate (draw) the chain of electromagnetic energy transformations involved in…

A: Given question: The various energy transformation involved in making the blades of a ceiling fan…

Q: Check the correct statements regarding the picture. * ALT HDG MDA 310 260 240 10 220 10 200 2150 ANH…

A: In modern aircraft, the navigation display screen displays the lateral navigation status of the…

Q: Which of the following is constructed problem? Machinery break down O Stuck in a traffic jam at a…

A: The constructed problem is a problem which is set by someone . It creates disturbance in labour and…

Q: Discuss the turning moment diagram fc four-stroke cycle internal combustion e in one cylinder and…

Q: Rd in the figure shown below

A: we will use equilibrium equation

Q: Use the phase diagram for water to answer the following: 1. At what temperature and pressure does…

A: At triple point of water: ◆ Pressure: Ptp = 0.6117 kPa. ◆ Temperature: Ttp = 0.01 ℃.

Q: Most sheet metalworking operations are performed as which of the following: O Cold working O hot…

Q: Two plates 20 mm thickness are fastened by a number of 25 mm diameter rivets, a tensile load of 500…

A: Given data . thickness of plates =20 mm diameter of rivets = 25mm tensile stress =500kN shear…

Q: Q1/A ball is released from the Point A upward with a velocity of 25 m/s. If the ball strikes in the…

Q: Find the strain Stress-35 MPa E=42 MPa

A: Given data : Modulus of elasticity=E Stress=σ To find : Strain

Q: Q1: A 6-kips force is applied to the machine element AB as shown. Knowing that the uniform thickness…

A: thickness of bar = 0.8 in force = 6 kips find the combined normal stress at point (a) and (f).

Q: 12 kN.m 3 m 12 kN/m 1 m 12 kN.m 1 m 4 m 3 m 12 kN/m

A: The shear force and bending moment diagram has been drawn below.

Q: Water at 25 deg C (998 kg/m 3 ) flows at 10 m 3 /s through a straight pipe of an ID of 1.38 m to 2…

A: Given: Density of the water→ρ=998 Kg/m3 Discharge of the flow→Q=10 m3/s Initial inner diameter of…

Q: Consider two Carnot heat engines operating in series. The first receives heat from the reservoir at…

Q: bullet weighing 0.30N and moving at 660 m/sec. penetrates a 50N block and emerges with a velocity of…

Q: Compute the input power Efficiency=38% Ouput power-410 J

Q: what is the parallel-axis theorem and how it is important in the analysis of rotational dynamics.

A: The parallel axis theorem describes that the moment of inertia of an object around the articular…

Q: Find the moment of inertia about the indicated x and y axes for the shaded area shown. Y. 10 cm 15…

A: find the moment of inertia about x and y axis.

Q: Check the correct statements regarding the picture. * ALT HDG MDA 310 260- 240 10 10 10 3000 >025- -…

A: The display unit that replaces the artificial horizon is called the primary flight display. It…

Q: An office to be air conditioned has a total heat load 80 kW with 50% sensible heat ratio. The office…

A: Given data: Total heat load =80 kW Sensible heat Qs=0.50x80=40 kW t1=32oCϕ1=42% t3=19oC Taking…

Q: Q8/30 of Co2 gas at 295k, 0.1 MPa is compressed to exhaust pressure of 0.78MPa, 300 k. Cooling…

A: Given data: V1=30 m3=30×103 LP1=0.1 MPa=0.9869 atmT1=295 KQR=7100 kJ/hrCp=38.9 J/mol.KPower=2.8 kW…

Q: Water enters the turbine at 160 psia and 600°F and leaves at 2 psia with a quality of 90%. It leaves…

Q: Q2. A four-stroke cycle SI engine with 8 cylinder has 6.2-liters. It designed to have a maximum…

Q: INDUSTRIAL ENGINEERING and ELECTRONICS Discuss briefly the inventions and significant…

A: Solution of the question is given below:

Q: Compute the input power Efficiency=38% Ouput power-410 J

A: Given data : Efficiency=E Output power=O To find : Input power

Q: Calculate the thermal efficiency of an air standard limited pressure cycle with a compression ratio…

Q: What is the ratio of a jet fuel load of 286 gal. to one of 2546 lbs?

Q: e o ( a ) a to s os anos a (b) the angular velocity (in rpm) of AB 320 mm 100 100mm JA -240 mm-

A: Given: Vc=500 mm/s Solution: Let the Instantaneous canter E will lie at AB link from point C.…

Q: Without writing shear and moment equations, draw the shear and moment diagr ams for the beams…

Q: Meat, and fish are non-perishable foods true O false O

A: INTRODUCTION: Non-perishable foods, such as canned goods and dried fruit, have a lengthy shelf life…

Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

1 m
1 m
1 m
b
B
30°
0.5 m 0.5 m
b
-1m
75 mm-
75 mm
A
25 mm
Section b-b
Figure 3 (not to scale)
A drum is suspended from the wooden frame ABC as shown in Figure 3. The mass
of the drum is 20 kg. The frame ABC is supported by the 2 mm diameter, A-36 steel
cable DB and by a pin support at A. You are required to:
a
Calculate all the internal forces acting at the cross section b-b and in cable BD.
b Calculate the orientation of the plane and the magnitude of the maximum in-
plane shear stress at point F, on section b-b, and represent this condition using a
stress element.
с
Determine the factor of safety (F.S.) of the cable BD for this loading based on the
maximum-distortion energy theory (von Mises).

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 5

Step 6

Step by step

Solved in 6 steps with 5 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

The piston in an engine is attached to a connecting rod AB, which in turn is connected to a crank arm BC (see figure). The piston slides without friction in a cylinder and is subjected to a force P (assumed to be constant) while moving to the right in the Figure. The connecting rod. with diameter d and length L, is attached at both ends by pins. The crank arm rotates about the axle at C with the pin at B moving in a circle of radius R. The axle at C, which is supported by bearings, exerts a resisting moment M against the crank arm. (a) Obtain a formula for the maximum permissible force Pallow. based upon an allowable compressive stress acin the connecting rod. (b) Calculate the Force Pallowfor the following data:
The inclined ladder AB supports a house painter (85 kg) at C and the weight iq = 40 K/m} of the ladder itself. Each ladder rail (t5= 4 mm) is supported by a shoe (ts= 5 mm) that is attached to the ladder rail by a bolt of diameter d = 8 mm
Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.
An elevated jogging track is supported at intervals by a wood beam AB (L = 7.5 ft) that is pinned at A and supported by steel rod BC and a steel washer at B. Both the rod (dBC= 3/16 in.) and the washer (dB= 1.0 in.) were designed using a rod tension force of TBC=415 lb. The rod was sized using a factor of safely of 3 against reaching the ultimate stress tru— 60 ksi. An allowable bearing stress sba= 565 psi was used to size the washer at B. A small platform HF is suspended below a section of the elevated track to support some mechanical and electrical equipment. The equipment load is uniform load q = 50 lb/ft and concentrated load WE= 175 lb at mid-span of beam HF. The plan is to drill a hole through beam ABaX £land install the same rod (dBC) and washer) dB) at both D and F to support beam HF. (a) Use s and to check the proposed design for rod DF and washer d,: are they acceptable? (b) Re-check the normal tensile stress in rod BC and bearing stress at 8 if either is inadequate under the additional load from platform HF. Re-design them to meet the original design criteria.
A lifeboat hangs from two ship's davits. as shown in the figure. A pin of diameter d = 0.80 in. passes through each davit and supports two pulleys. are on each side of the davit. Cables attached to the lifeboat pass over the pulleys and wind around winches that raise and lower the lifeboat. The lower parts of the cables are vertical and the upper parts make an angle a =15° with the horizontal. The allowable tensile force in each cable is 1800 lb, and the allowable shear stress in the pins is 4000 psi. If the lifeboat weighs 1500 lb, what is the maximum weight that can be carried in the lifeboat?
A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal arm AB (length b = 10 in.) and a vertical arm BC (length c = 7 in.) pivoted al point B. The pivot is attached to the outer frame BCD that stands on a laboratory bench. The position of the pointer al C is controlled by a spring, Jt = 5 lb/in., that is attached to a threaded rod. The pitch of the threads is p = 1/16 in. Under application of load W, 12 revolutions of the nut are required to bring the pointer back to the mark. Calculate the weight W.
Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.
Solve Problem 11.3-3 for a W 10 × 45 steel column having a length L = 28 ft.
An idealized column consists of rigid bar ABCD with a roller support at B and a roller and spring support at D. The spring constant at D. is ß = 750 N/m. Find the critical load Pcrof the column.
An idealized column is composed of rigid bars ABC and CD joined by an elastic connection with rotational stiffness ßRIat C. There is a roller support at B and an elastic support at D with translationa1 spring stiffness ß and rotational stiffness ßR2. Find the critical buckling loads for each of the two buckling modes of the column. Assume that L = 3 m, ß = 9 kN/m, and ßR]= ßR1= ßL2. Sketch the buckled mode shapes.
Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.
A semi-elliptic spring used for automobile suspension, consists of twoextra full-length leaves and eight graduated-length leaves, including themaster leaf. The centre-to-centre distance between the two eyes is 1 m.The leaves are made of steel 55Si2Mo90 (S = 1500 N/mm yt2 andE = 207 000 N/mm2) and the factor of safety is 2. The maximum springload is 30 kN. The leaves are pre-stressed so as to equalize stresses in allleaves under maximum load. Determine the dimensions of thecross-section of the leaves and the deflection at the end of the spring.