A uniform bar AB weighing 500 kg is supported at both end by a cable as shown in the figure. Determine the smallest diameter in steel cable if the stress is not to exceed 120 MPa. ... Steel L=4m Bronze L=4m 10 m A 2.3 mm B 7.2 mm 5.1 mm 1.6 mm

A uniform bar AB weighing 500 kg is supported at both end by a cable as shown in the figure. Determine the smallest diameter in steel cable if the stress is not to exceed 120 MPa. ... Steel L=4m Bronze L=4m 10 m A 2.3 mm B 7.2 mm 5.1 mm 1.6 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

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.2.17P: A simply supported beam is subjected to point load P at mid-span. The normal stress on an element at...

See similar textbooks

Related questions

Q: ic, calculate the heat loss from the rod.

A: To find the heat loss from the rod.

Q: Give 4 applications of metals in the engineering field.

A: The four application of metal in engineering field are:- 1) In manufacturing

Q: 1. An unknown gas at p= 0.65 KPa, V1= 0.4m³ undergoes a process to p2= 0.103 KPa, V2 1.54 m2, during...

A: GivenP1=0.65KPaV1=0.4m3P2=0.103KPaV2=1.54m3∆H=-87.6KJCv=0.659kJ/kgK

Q: In the following texts, determine whether it is technical or non-technical. Then, explain your choic...

A: The given sentences are related to a wide variety of topics. But generally, Stress = ForceArea Where...

Q: Determine the magnitudes of all pin reactions for the frame loaded as shown. Assume F = 750 N, a = 7...

A: Given:F=750 Na=775 mmb=340 mmθ=30

Q: By using Sarrus' Method 2| 15 4 -2 3 13 -1 21 543

Q: Steam at 200 deg. L and with on entropy OF 5. G105 kjlkg-k exponds isothermally to 0.515 Mpa. For 5k...

Q: 2. The frame shown in the figure is supported by a pin at point A and a roller at point E. Determine...

Q: A centrifugal pump delivers water at a rate of 0.03 m^ 3 / s to a height of 18 meters through a pipe...

A: The input power of a centrifugal pump is converted into the kinetic energy of the fluid being pushed...

Q: Determine the magnitude and direction of the force on the radial gate of Figure 6a. AB has a length ...

A: The resultant force created by the pressure loading of a liquid acting on submerged surfaces is know...

Q: 1. The truss shown below is supported by a pin at joint A and a roller at joint K. Find the forces i...

A: Draw the free-body diagram of the truss.

Q: R-134a enters a well-insulated diffuser as a saturated vapor at P, = 100 lbf/in2 with a velocity of ...

A: Given: The pressure at the inlet of diffuser, P1 = 100 lbf/in^2 The velocity at the inlet of diffuse...

Q: The head-discharge relationship for a certain pump can be represented by the equation H-29-6Q^2 The ...

Q: A tri metallic bar is uniformly compressed by an axial force P=12kN applied through a rigid end plat...

A: Given data: Axial force = 12 kN = 12000 NSteel core diameter = 10 mmBrass tube inner diameter = 10mm...

Q: A fixed mass of gas undergoes changes of pressure and volume as shown below.

A: Given: Some process are there,Process PQ=8 kJ heat are absorbed,Process QR=3 kJ of work is done,Proc...

Q: Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown...

Q: Can someone explain why it became this? Why it necessary to use it? what is this? i dont get it.

Q: The two cars collide at right angles in the intersection of two icy roads. Car A has a mass of 1000 ...

A: Given data,Mass of car A ,mA=1000kgMass of car B, mB=1775kgVelocity of car A , uA=43km/h

Q: Determine the force in each member of the loaded truss. The forces are positive if in tension, negat...

Q: What is the action force?

A: Given data What is the action force.

Q: 4-87. Determine the required magnitude of force F, if the resultant couple moment on the beam is to ...

A: Find the force F

Q: sothermally and reversibly to a pressure of 10 bar. Calculate the heat supplied and the work done pe...

Q: Determine the force (written as a vector) which BC exerts on member AB (a) if the 820-N load is appl...

Q: With what speed (km/h) does a car have to move toward a stationary listener so that the listener hea...

A: Write the given data. f'f0=21/12v=340 m/sv0=0 m/s

Q: An ammonia simple vapor operates between evaporator and condenser temperature of -20°C and 35°C resp...

Q: The shaft is supported by a smooth thrust bearing at A and a smooth journal bearing at B. Dar the sh...

Q: Steam at P1 = 160 bar and T1 = 480C enters a turbine operating at steady with a volumetric flowrate ...

Q: a reaction turbine is

A: NEED TO FIND SPECIFIC SPEED ( REACTION TURBINE)

Q: Consider a system described by the following set of coupled dynamic equations: 5x1 = -3x1 + 2x2 2x2 ...

A: Given : To find : Block diagrams and transfer functions

Q: a column of a planet's atmosphere. The planet's atmosphere is a compressible ideal gas at rest that ...

Q: Determine the moment of the 800-N force about point A and about point O.

Q: hat is the reaction force?

A: To define what is a reaction force.

Q: ꜱᴏʟɪᴅ ᴀʟᴜᴍɪɴᴜᴍ ꜱʜᴀꜰᴛ ᴏꜰ 98 ᴍᴍ ᴅɪᴀᴍᴇᴛᴇʀ ꜰɪᴛꜱ ᴄᴏɴᴄᴇɴᴛʀɪᴄᴀʟʟʏ ɪɴ ᴀ ʜᴏʟʟᴏᴡ ꜱᴛᴇᴇʟ ᴛᴜʙᴇ. ᴅᴇᴛᴇʀᴍɪɴᴇ ᴛʜᴇ ᴍɪɴ...

A: Given:d=98 mmF=547 kNμ=13E=75 GPa

Q: The number of DOF

A: Given; links, l = 10 joints, j =12 Simple revolute joint ?

Q: Derive the translational and rotational kinematics equations for a 3-2-3 rotation sequence. The angl...

A: TRANSLATIONAL AND ROTIONAL MOTION translational Motion: Translational movement is movement that incl...

Q: (1) A projectile is fired at point A with the angle and initial velocity shown in the figure. It lan...

Q: In an engine working on Dual cycle, the temperature and pressure at the beginning of the cycle are ...

Q: An ideal Otto cycle has a compression ratio of 6. At the beginning of the compression process, air i...

A: The air standard cycle

Q: Find V for this mushroom cap on a pipeline.

Q: E Ju Deflection of Helieal Springs Torsiun strain TL Shear load stram FL Energy =(E ZAG %3D Use Gost...

A: Castigliano’s Theorem is used to determine the deflection using strain energy at the location of poi...

Q: A gas contained within a cylinder fitted with a piston is initially at a pressure of 50 bar. The gas...

A: Given:P1=50 barV2V1=5n=2

Q: Determine the forces in members BC, BE, and BF. The triangles are isosceles. The forces are positive...

Q: A spark ignition engine of a compression ratio of 8 , operates with stoichiometric fuel-air ratio of...

A: Given: compression ratio r=8 P1=1 atmosphere and T1=350 K residual gas fraction f=0.08 and the exha...

Q: A single-acting, single-cylinder air compressor is rated at 4.25 m3/min of air. The suction conditio...

Q: A thermal power has a net power 10 MW. The backwork ratio of the plant is 0.005. Determine the compr...

Q: An automobile single plate ciutch consists of a pair of contacting surtaces. The inneOr and outer ra...

Q: a plant installed a single-suction center fugal pump with a capacity of 300 gpm under 200 tt at 1200...

Q: arms (moment arms). Identify each torque as clockwise or counterclockwise. 10 Um 4. Attach two weigh...

A: Given: in procedure 4 setup:- distace of the 10 g mass from the start point on the meter stick=10cm...

Q: The compression ratio of an ideal dual cycle is 14 and the working fluid is air. At the start of the...

A: In an ideal dual cycle, heat some part of the heat is added at constant volume and the remaining par...

Q: Complete the two charts below showing the perpendicularity tolerance for the different pilot sizes. ...

A: PART 1: Virtual condition size=Shaft Maximum material condition+perpedicularity tolearnce⇒Virtual co...

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

100%

A uniform bar AB weighing 500 kg is supported at both end by a cable as shown in the figure. Determine the smallest diameter in
steel cable if the stress is not to exceed 120 MPa.
...
Steel
L=4m
Bronze
L=4m
10 m
A
2.3 mm
B
7.2 mm
5.1 mm
1.6 mm

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

VIEW

Step 2

VIEW

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

Similar questions

Solve the preceding problem if the mass of the tailgate is MT— 11 kg and that of the crate is hic— 6S kg. Use dimensions H = 305 mm, L = 406 mm, dc= 460 mm, and dT= 350 mm. The cable cross-sectional area is At= 11.0 mm'. (a) Find the tensile Force T and normal stress T in each cable. (b) IF each cable elongates
A single steel strut AB with a diameter (a) Find the strut force Fs and average normal stress ds= 8 mm supports the vehicle engine hood of a in the strut. mass 20 kg that pivots about hinges at C and D (see (b) Find the average shear stress t aver in the bolt at A,figure parts a and b). The strut is bent into a loop at (C) Find the average bearing stress bon the bolt at A. its end and then attached to a bolt at A with a diameter db= 10 mm. Strut AB lies in a vertical plane.
A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
A slightly tapered bar AB of solid circular crass section and length L is supported at end B and subjected to a tensile load P at the free end A. The diameters of the bar at ends A and B are dAand dB. respectively. Determine the length of the bar if the elongation of the bar due to the load P = 45 kips is 0.02 in. Assume that E = 10,400 ksi.
A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?
A horizontal rigid bar of weight If' = 72001b is supported by three slender circular rods that are equally spaced (see Figure)'. The two outer rods are made of aluminum (£-, = 10 X 10 psi) with diameter f/j = 0.4 in. and length Ly= 40 in. The inner rod is magnesium {F-, = 6.5 X 10* psi) with diameter rf, and length L-,. The allowable stresses in the aluminum and magnesium are 24,000 psi and 13,000 psi, respectively. IF it is desired to have all three rods loaded to their maximum allowable values, what should be the diameter d2and length LzoF the middle rod?
Two bars AC and BC of the same material support a vertical load P (see figure). The length L of the horizontal bar is fixed, but the angle fl can be varied by moving support A vertically and changing the length of bar AC to correspond with the new position of support A. The allowable stresses in the bars are the same in tension and compression. When the angle ft is reduced, bar AC becomes shorter, but the cross-sectional areas of both bars increase because the axial forces are larger. The opposite effects occur if the angle 0 is increased. Thus, the weight of the structure (which is proportional to the volume) depends upon the angle ft. Determine the angle ft so that the structure has minimum weight without exceeding the allowable stresses in the bars. Note: The weights of the bars are very small compared to the force P and may be disregarded.
.17 A mountain-bike rider going uphill applies torque T = Fd(F = l5lb, d = 4 in.) to the end of the handlebars ABCD by pulling on the handlebar extenders DE. Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A). Segments AB and CD are prismatic with lengths L, = 2 in.andL3 = 8.5 in, and with outer diameters and thicknesses d01 = 1.25 in. 101 = 0.125 in. and d03 = O.87in.,i03 = 0.ll5in, respectively as shown. Segment BC’ of length L, = 1.2 in. however. is tapered, and outer diameter and thickness vary linearly between dimensions at B and C. Consider torsion effects only. Assume G = 4000 ksi is constant. Derive an integral expression for the angle of twist of half of the handlebar tube when it is subjected to torque T = Fd acting at the end. Evaluate ‘b1-, for the given numerical1ues.
Solve the preceding problem if the axial stress in the middle region is 24,000 psi, the length is 30 in., and the modulus of elasticity is 30 × 106 psi. In part (c), assume that dmax = 0.02 in
Continuous cable ADS runs over a small Frictionless pulley at D to support beam OABC that is part of an entrance canopy Tor a building (see figure}. Assume that the canopy segment has a weight it' = 1700 lb. (a) Find the required cross-sectional area of cable ADB if the allowable stress is 18 ksi. (b) Determine the required diameter of the pins at O. A, R and D if the allowable stress in shear is 12 ksi.