A uniform bar 1 is connected to a tapered rod 2. Both are subjected to axial loads as shown. If P = 7 kN, Determine the axial deformation of tapered rod 2 (in mm). Indicate negative sign if compression. 5P 39 E-160 GPa E-200 GPa 80mm 30 0 mm 30 mm 30 mm 30 mm 80 mm

A uniform bar 1 is connected to a tapered rod 2. Both are subjected to axial loads as shown. If P = 7 kN, Determine the axial deformation of tapered rod 2 (in mm). Indicate negative sign if compression. 5P 39 E-160 GPa E-200 GPa 80mm 30 0 mm 30 mm 30 mm 30 mm 80 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

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.3.21P: A slightly tapered bar AB of solid circular crass section and length L is supported at end B and...

See similar textbooks

Related questions

Q: A Pelton wheel develops 2000 kW under a head of 100 meters and with an overall efficiency of 85%. Fi...

A: The Pelton wheel, often known as the Pelton Turbine, is a form of impulse water turbine.In contrast ...

Q: For tetragonal crystals, cite the indices of directions that are equivalent to each of the following...

A: Answer: [0 0 -1]

Q: (a) The mean ultimate tensile strength of a steel is 1500 MPa. What value should be used if the desi...

A: Mean ultimate tensile strength=σu = 1500 Mpa, reliability = 99% Theoretical endurance strength=σe =...

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 given two views shown in Fig. below draw the isometric projection use scale1:1 110- -08- 15 R25 ...

Q: A regenerative system uses a 4-inch diameter cylinder and a 2.5-inch diameter rod. The system operat...

A: Given : D = 4 inch d = 2.5 inch Q = 8 gpm = 30.8 in3/sec P = 2000 psi To find : extension, retractio...

Q: ssure of 400 psia enters the pine. The condenser pressure is ospheric. Find the ideal Rankine cycle ...

Q: n elevator weighs 1000 Ibs and is supported by a 5/16 inch diameter cable, 1500 ft long. When the el...

Q: What are the basic components of Rankine Cycle and draw TS diagrams?

A: Rankine cycleit is a vapour power cycle working fluid undergoes a change in phase in which heat co...

Q: A 2500-kg heavy engine has a high resonance at 140 Hz. The operation manager utilizes an elastomer (...

Q: A pelton wheel working under a head of 50 meters developer 8x 10° watts power at 240 rpm. Calculate ...

A: We have, H=50 m; N=240 rpm,Ps=8×103 W;η0=78 % ;Cv=0.98

Q: The 950-kg motorized unit A is designed to raise and lower the 450-kg bucket B of concrete. Determin...

Q: Freight car A with a gross weight of 155000 lb is moving along the horizontal track in a switching y...

A: Find the common velocity of combined mass. And also find loss in energy due to impact. Weight of car...

Q: Air enters a compressor operating at steady-state at 1 atm with a specific enthalpy of h1 = 224 kJ/k...

Q: Compute the size of a reservoir necessary to supply a 2 gal/min pump with adequate fluid to raise a ...

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

Q: Discuss what is the most mechanized and least mechanized operation in rice productions in Philippine...

A: Mechanization of rice production helps to incorporate the use of machinery to reduce the effort put ...

Q: Liquid ammonia at a temperature of 26 OC is available at the expansion valve . The temperature of th...

Q: Would a wooden cylinder (s = 0.61) 660mm in diameter and 1.3m long be stable if placed vetically in ...

Q: DETERMINE THE RESULTANT COUPLE MOMENT 15 10 3 m 4 3 m B 1 m 30 10 3 15 30

A: The resultant couple moment at AT as shown in figre given below,

Q: What is the action force?

A: Given data What is the action force.

Q: (a) Mass flow rate at the inlet is 10 kg/s. Compute the mass flow rate at the outlet. Show your reas...

A: Given that: At the inlet of the turbine, P1 = 2.7 MPa T1 = 630 oC At the outlet of the turbine, P2 =...

Q: Construct a flow diagram illustrating the mass and energy exchange between a shining light bub and i...

A: Bulb as a system receives electric energy as a high grade energy or work and releases energy in the ...

Q: A steel shaft 2573 mm long must transmit a torque of 34 KN-m. The total angle of twist and the maxim...

A: Length, L= 2573 mm Torque, T= 34 kNm= 34000000 Nmm Angle of twist, θ=30= 3π180 radians= π60 radians ...

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: Steam at 200 deg. C and with isothemally to 0.515 Mpa. For 5kg. Find : a. As, AH, AU b. Q an entropy...

Q: Beam ABCDEFG below is subjected to multiple loads as show. The total length of the beam is 10m. Anal...

A: We only answer the 3 subparts so we will answer the first 3 subparts. Please resubmit the question b...

Q: Find the pressure (in lb/in^2) at the bottom of a tower with water 50.0ft deep

Q: 1. For the state of plane stress with x-y axes as shown, do the following: 12 MPa 1.1 draw the Mohr'...

Q: Assuming the validity of Raoult's Law, calculate y1 and P for the Diethyl ether(1)-Acetone(2): x1 = ...

Q: If le is the mass moment of inertia of a rigid body with respect to an axis passing through its cent...

Q: Explain the trip and drive cycle in an OBD II system.

A: On-board diagnostics (OBD) is an automotive term referring to a vehicle's self-diagnostic and report...

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

Q: Define the state equations for this system. Also define the A, and B matrices for the system.

A: The State Equation shows the connection between the framework's present status and its feedback, and...

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

Q: What percent of the volume of a piece of iceberg (sg=0.915) will float above the water?

A: Givenspecific gravity of the icebergsg=0.915

Q: 0.5а 5a (1/3)a {110}

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

Q: WEC and the rocket are initially at rest. A roadrunner (RR) comes around a curve to the left, then p...

Q: The cross-sectional dimensions of a beam are shown. Assume b;-3 in., t-tw-0.375 in. and d-2.25 in. (...

Q: The hydraulic conductivity of an aquifer is 0.005 cm/sec, the hydraulic gradient is 0.02, and the po...

A: a- the specific discharge is calculated as followq=-KdhdxK=hydraulic conductivity dhdx=hydraulic gr...

Q: The rigid beam is supported by the three suspender bars. Bars AB and EF are da made of aluminum and ...

Q: During solidification process, ha OI. Nuclei, critical size, lattice O II. Nuclei, critical size, gr...

A: option II is correct. nuclei ,critical size , grain

Q: Please answer in essay: From the figure below, discuss the internal effect of the external forces ...

A: EXTERNAL AND INTERNAL FORCES External forces are powers brought about by outside specialist outside ...

Q: A solid aluminum shaft of 94 mm diameter fits concentrically in a hollow steel tube. Determine the m...

Q: A central heating system from a house consists of 50m of 15mm outside diameter copper pipe with a wa...

Q: 1.0 A mass of ice at -7 °C is needed to cool 124 kg of vegetables (Cp = 3.35 KJ /kg.K )in a bunker f...

A: The required mass of ice is 23.087 kg.

Q: A fuel tank is filled with propane gas and heat is transferred from the surroundings at a rate of 50...

A: GIVEN DATA - HEAT TRANSFERRED Q=50W WE HAVE TO FIND INCREASE IN ENERGY DURING 24 HOUR PERIOD

Q: Determine the coefficient of kinetic friction

A: NEED TO FIND COEFFICIENT OF KINETIC FRICTION.

Q: Develop a mathenatical nodel bor a Stigved tank heater with jackot with aslumptione

A: The model's parameters are standardised values for a certain chemical process in which the tank's te...

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

A uniform bar 1 is connected to a tapered rod 2. Both are subjected to axial loads as shown. If P 7 kN, Determine
the axial deformation of tapered rod 2 (in mm). Indicate negative sign if compression.
5P
E-160 GPa €
3P
E-200 GPa
80mm 30 mm
30 mm
80 mm
30 mm
30 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 3

VIEW

Step by step

Solved in 3 steps with 3 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

A metal bar AB of a weight Ills suspended by a system of steel wires arranged as shown in the figure. The diameter of the wires is 5/64 in., and the yield stress of the steel is 65 ksi. Determine the maximum permissible weight W max for a factor of safety of 1.9 with respect to yielding.
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
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?
Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
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 steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P = 20 kips located at distance e = 0,75 in, from the center of the cross section. Also, the modulus of elasticity of the steel is 29,000 ksi. Determine the maximum compressive stress max, in the bar. If the allowable stress in the steel is 18,000 psi, what is the maximum permissible length Lmaxof the bar?
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 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 spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.
Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For close-up to viewing of field action at sporting, events. At some instant, wire I is at an angle a = 22° to the horizontal and wire 2 is at angle fi = 40°. Wires I and 2 have diameters of 30and 35 mils, respectively. (Wire diameters are often expressed in mils; one mil equals 0.001 in.) (a) Determine the tensile stresses s and s2 in the two wires. (b) If the stresses in wires 1 and 2 must be the same, what is the required diameter of wire 1 ? (c) To stabilize the camera for windy outdoor conditions, a third wire is added (see figure part b). Assume the three wires meet at a common point coordinates (0, 0. 0) above the camera at the instant shown in figure part b. Wire I is attached to a support at coordinates (75 ft, 48 ft, 70 Ft). Wire 2 is supported at (-70 ft. 55 ft, 80 Ft). Wire 3 is supported at (-10 ft. -85 Ft, 75 ft). Assume that all three wires have a diameter of 30 mils. Find the tensile stresses in all three wires
.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.