The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1750 in.4]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 200 kip-ft, P = 24 kips, LAB = 6.2 ft, LBc = 9.3 ft.

The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1750 in.4]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 200 kip-ft, P = 24 kips, LAB = 6.2 ft, LBc = 9.3 ft.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.3.15P: A cantilever beam has a length L = 12 ft and a rectangular cross section (b = 16 in., h = 24 in.), A...

See similar textbooks

Related questions

Q: 6. Compute the stress in arectangular bar having Cross-Sectional dimensions af lo mm x 30 mm if…

A: Find the stress in bar and pin.

Q: Which is not a major component of a steam power plant? A) boiler B) heat supply system C) generator…

A: (A) Boiler: This is the main component of steam power plant used to supply heat to the water…

Q: The working conditions to be satisfied by a shaft transmitting power are (a) that the shaft must not…

A: GivenG=80000 N/mm2T=1MWattN=240rpmθlim=1oL=15dσallow=55 N/mm2

Q: 6.12 A uniform beam 4 m long is simply supported at its ends, where couples are applied, each 3 kN m…

A: Consider a beam having length 'L' is simply-supported at its ends and if a bending moment 'M' is…

Q: Define as the average consumption output or throughput over a period of time. A power factor B…

A: Capacity factor is defined as the average consumption, output or throughout over a period of time.…

Q: The strain components for a point in a body subjected to plane strain are ɛx = 630 µe, ɛ, = 940µE…

A: Find the principal strain and maximum shear strain and angle of principal plane.

Q: Modified Sinusoidal function is composed of a) Only one sine function b} Two sine function with…

A: Modiefied Sinusoidal Funtion

Q: An ideal regenerative cycle is executed with 56700 kg/hr of steam initially at 13.44 MPa and 594 °C.…

Q: Summarise and discuss the similarities and differences between CAPP for CNC machining and CAPP for…

A: Additive Manufacturing (AM) is a computer-controlled method that builds actual things layer by…

Q: Solar renewable energy plant has 32 solar panel with 48 KW each. What is the solar KW rated output?…

A: No of solar panel, n = 32 Power rating of each panel, P = 48 KW

Q: The weight of a Falcon rocket is 500,000 kg. It will be landed on earth at a constant speed of 100…

A: Given data - Initial mass of rocket = 500,000 kg combustion gases is ejected at a constant rate of…

Q: Fossil fuel power plant generates power to 5 residential household cornmunity with the following…

A: ◆ The maximum demand of the power plant is 1246.25 kW. ◆ Therefore, the correct answer is option…

Q: Given four series springs in a viscous damped system with a stiffness of 600 N/m, critical damping…

Q: Find an expression for the velocity of water leaving the sprinkler. Find an expression for the…

Q: Most modern electrical heating and cooling devices are provided with thermostat. What is the purpose…

A: The thermostat is a temperature control devices . It is used in both heating and cooling devices.…

Q: The energy possessed by a body by the virtue of its motion is called ______

Q: The left field wall at a baseball park is 320 feet down the third base line from home plate; the…

Q: An electric motor purchased by your employer surprisingly arrived without a keyway in the shaft. The…

A: Given : d = 17 mm To find : Design a square key

Q: determine the moment of inertia about the y-axis

Q: Discbrake friction linings are sometimes called brake The ratio of the force required to slide one…

A: Given questions are related to IC engines and Machine design [Note : According to…

Q: There are three forces acting on an object, that is, F, = (2,5, 6)N, F, = (-5,–9,6) N and F = (12,8,…

A: According to Bartleby guidelines, we are allowed to solve only the first 3 sub-part of a single…

Q: What is the effect of belt thickness and slip on speed ratio?

Q: 3. A 60-gram mass vibrates in simple harmonic motion (SHM) at the end of a spring. The amplitude of…

Q: 3. Determine the resultant force and its diredtion SN 35 So 3. N 20 N

Q: Q1: The rope is wrapped around the central core of the 95 kg coil, whose rotating radius relative to…

A: Given data:

Q: As shown in Figure 1 of the ski ramp, you need to make sure that the skier lands safe once they jump…

A: positive ax=0 , ay=-gapplying equation of motion along the…

Q: Substances with higher specific heats will increase in temperature faster than substances with lower…

A: Specific heat of a substance : It is defined as the net quantity of heat required to raise the…

Q: What desirable issues must available in modern high-speed SI engine in brief?

A: INTRODUCTION : It is an internal combustion engine in which the air-fuel mixture is ignited using a…

Q: Determine the velocity of the weight A at this instant. The cord is 20 ft long. Express your answer…

Q: 4. Find "p" that will impending motion. Cause = 200 N

Q: If the daily kw-hr energy by household using solar energy within 6 hrs peak sunlight in a day is 412…

A: Daily kW-hr energy is equal to 412 Number of hours= 6 hr To find: Solar kW output

Q: A perpetual motion machine is a machine that never stops, hence its name. It is a machine that can…

A: Concept: 1) First law of thermodynamics: It states that energy neither be created nor destroyed but…

Q: Heat flows through the wall in the following figure from the warm inside T to the cooler outside T,…

A: Given data The thickness of the glass wall = t Thickness of brick wall = t2Thickness of wood wall =…

Q: the value of B is

A: Given; Maximum value of W to avoid buckling of the beam isobtained as βπ2EI, where, πis the…

Q: b) Find an expression for the gauge pressure at point A, a distance L1 upstream of the narrow pipes.…

A: given; lets take pressure at A=PAdischarge=Qdiameter=d1diameter=d2pipe loss coefficient=KLlarge…

Q: A truck and trailer combination has wheel loads of 6 kN, 9 kN. and 12 kN, separated at distances 3m…

Q: Calculate the Reynolds number, Re for water flow in a circular pipe. The diameter of the pipe is 50…

A: Reynold's Number is defined as the ratio of Inertia force to the viscous force in a flowing fluid.…

Q: a Gas Turbine Power Plant whoseefficiency is between 2096 to 356. Mhat is the compression ratio…

A: Answer : A is correct.

Q: A shaft is loaded in bending and torsion such that Ma= 70N m, Ta= 45 N m, Mm 55 N m, and Tm 35 N m.…

Q: If you lived in Fick's time and try to formulate a diffusion equation for the up-hill diffusion,…

A: Diffusion happens as a result of a concentration gradient, which is defined as the change in…

Q: Q2: The tool shown in Fig.2 is used in a gluing operation to press a thin laminate to a thicker…

Q: 4. What is the specific gravity of a solid sphere that has a radius of 0.6 in and a mass of 1.34…

A: #4 find the specific gravity of sphere.

Q: 24. A 2.0 kg disk is able to move on a straight, level track with negligible friction. With the disk…

Q: 3-7 A symmetrical furnace wall has the dimensions shown in Figure P3-7. Using the flux plot, obtain…

A: A dimensionless quantity with the help of which it can be calculated that the amount of heat stuck…

Q: Mohr's circle is shown for a point in a physical object that is subjected to plane stress, Each grid…

Q: What is the benefit of ergonomics on industrial engineers?

Q: Q' is the flow rate per unit width (i.e. has units of m2/s). Express Q' in terms of T When the flow…

Q: A shaft is loaded in bending and torsion such that Ma= 70 N m, Ta= 45 N m, Mm = 55 N m, and Tm= 35 N…

Q: For materials that have very low ductility and high strength and room temperature what is often used…

A: The materials that have low ductility as well as high strength at room temperature are prone to very…

Q: The tank is used to store a liquid having a specific weight of 80 lb/ft^3. If it is filled to the…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1750 in.4]. For the loading shown,
determine:
(a) the beam deflection at point A.
(b) the beam deflection at point B.
Assume MA = 200 kip-ft, P = 24 kips, LAB = 6.2 ft, LBc = 9.3 ft.
MA
В
C
LAB
LBC
Answer:
(a) VA =
in.
(b) VB =
in.

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

.2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular lubes (see ligure part at. for purposes of this analysis, each beam may be represented as a cantilever AB of length L = 8.0 m subjected to a lateral load P = 2.4 kN at the free end. The tubes have a constant thickness ; = 10.0 mm and average diameters dA = 90 mm and dB = 270 mm at ends A and B, re s pec lively. Because the thickness is small compared to the diameters, the moment of inerlia at any cross section may be obtained from the formula / = jrrf3;/8 (see Case 22, Appendix E); therefore, the section modulus mav be obtained from the formula S = trdhlA. (a) At what dislance A from the free end docs the maximum bending stress occur? What is the magnitude trllul of the maximum bending stress? What is the ratio of the maximum stress to the largest stress (b) Repeat part (a) if concentrated load P is applied upward at A and downward uniform load q {-x) = 2PIL is applied over the entire beam as shown in the figure part b What is the ratio of the maximum stress to the stress at the location of maximum moment?
A simple beam AB of length L and height h (see figure) is heated in such a manner that the temperature difference 7= T{between the bottom and top of the beam is proportional to the distance from support A: that is, assume the temperature difference varies linearly along the beam: T2- Tt= Tax in which 7"0 is a constant having units of temperature (degrees) per unit distance. Determine the maximum deflection SW9Xof the beam, Repeat for a quadratic temperature variation along the beam, so T2+T1= Tax
A simple beam AB of length L is subjected to loads that produce a symmetric deflection curve with maximum deflection S at the midpoint of the span (see figure). How much strain energy U is stored in the beam if the deflection curve is (a) a parabola and (b) a half wave of a sine curve?
A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 75 mm, h = 150 mm). Calculate the reactions of the beam and the displacement at point C. Assume that E = 190 GPa.
Beam ACB hangs from two springs, as shown in the figure. The springs have stiffnesses Jt(and k2^ and the beam has flexural rigidity EI. What is the downward displacement of point C, which is at the midpoint of the beam, when the moment MQis applied? Data for the structure are M0 = 7.5 kip-ft, L = 6 ft, EI = 520 kip-ft2, kx= 17 kip/ft, and As = 11 kip/ft. Repeat part (a), but remove Af0 and instead apply uniform load q over the entire beam.
A simple beam ACE is constructed with square cross sections and a double taper (see figure). The depth of the beam at the supports is dAand at the midpoint is dc= 2d 4. Each half of the beam has length L. Thus, the depth and moment of inertia / at distance x from the left-hand end are, respectively, in which IAis the moment of inertia at end A of the beam. (These equations are valid for .x between 0 and L, that is, for the left-hand half of the beam.) Obtain equations for the slope and deflection of the left-hand half of the beam due to the uniform load. From the equations in part (a), obtain formulas for the angle of rotation 94at support A and the deflection Scat the midpoint.
Copper beam AB has circular cross section with a radius of 0.25 in. and length L = 3 ft. The beam is subjected to a uniformly distributed load w = 3.5 lb/ft. Calculate the required load P at joint B so that the total deflection at joint B is zero. Assume that£ = 16,000 ksi.
A simple beam AB of length L and height /; undergoes a temperature change such that the bottom of the beam is at temperature 7™, and the top of the beam is at temperature Tx(see figure). Determine the equation of the deflection curve of the beam, the angle of rotation 9Aat the left-hand support, and the deflection 8mjLXat the midpoint.
A simply supported beam (E = 1600 ksi) is loaded by a triangular distributed load from A to C(see figure). The load has a peak intensity q0= 10 lb/ ft, and the deflection is known to be 0.01 in, at point C. The length of the beam is 12 ft, and the ratio of the height to the width of the cross section is (h:b) 2:1, Find the height h; and width h of the cross section of the beam.
The tapered cantilever beam AB shown in the figure has a solid circular cross section. The diameters at the ends A and B are dAand dB= 2dA, respectively. Thus, the diameter d and moment of inertia / at distance v from the free end are, respectively, in which IAis the moment of inertia at end A of the beam. Determine the equation of the deflection curve and the deflection SAat the free end of the beam due to the load P.
A weight W = 4000 lb falls through a height h = 0.5 in, onto the midpoint of a simple beam of length L = 10 ft (see figure). Assuming that the allowable bending stress in the beam is = 18,000 psi and E = 30 x 10* psi, select the lightest wide-flange beam listed in Table F-l(a) in Appendix F that will be satisfactory.
The tapered cantilever beam AB shown in the figure has a thin-walled, hollow circular cross sections of constant thickness t. The diameters at the ends A and B are dAand dB= 2dA, respectively. Thus, the diameter d and moment of inertia / at distance x from the free end are, respectively, in which IAis the moment of inertia at end A of the beam. Determine the equation of the deflection curve and the deflection 8 Aat the free end of the beam due to the load P.