please write clearly and show all steps 2- The beam shown carries a distributed load of maximumintensity wo = 4300 Ib/in over its span of length L= 20 ft., E =29*106 psi, and I = 3x10³ in*. Determine the maximummoment, the slope at the end, maximum deflection, and thedeflection at a distance of 14 ft. from the right end of thebeam.yWoX- L

Answered: Image /qna-images/answer/1b7a55e6-e419-4805-91b8-d59b5cd2e6ea.jpg

- The beam shown carries a distributed load of maximum intensity wo = 4300 Ib/in over its span of length L= 20 ft., E = 29*106 psi, and I = 3x103 in". Determine the maximum moment, the slope at the end, maximum deflection, and the deflection at a distance of 14 ft. from the right end of the beam.

- The beam shown carries a distributed load of maximum intensity wo = 4300 Ib/in over its span of length L= 20 ft., E = 29*106 psi, and I = 3x103 in". Determine the maximum moment, the slope at the end, maximum deflection, and the deflection at a distance of 14 ft. from the right end of the beam.

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 9.7.8P: The tapered cantilever beam AB shown in the figure has a solid circular cross section. The diameters...

See similar textbooks

Related questions

Q: Calculate the maximum def lection δmaxof a uniformly loaded simple beam if the spanlength L = 2.0 m,…

A: Given Load, q = 2 kN/m Length, L = 2 m E = 70 GPa Find Maximum deflection

Q: The cantilevered beam shown in Fig. a is subjected to a vertical load P at its end. Determine the…

A: Consider the following figure: The bending moment at the section x-x is given by Where v is the…

Q: The cantilever beam AB shown has a rigid bracket AC attached to its free end. Find the ratio a/L…

Q: A beam 8 m span is freely supported at its ends and a udl of 40 KN/m is spread over the whole span…

A: The schematic diagram of the beam is as follows: The free body diagram of the beam is as follows:

Q: Situation 5. 300 N/m R₁ 1. the rotation at the right support. 2. the deflection at midspan 3. the…

Q: consider the cantilevered W14 x 30 beam shown E = 29(103) ksi, I = 291 in4 determine the expression…

A: Free body diagram of the cantilever beam is.

Q: Determine the equation of the deflection for the cantilever beam shown. Then, calculate the slope…

Q: Derive the deflection at different points of the beam, as shown in the table. Use MOMENT AREA METHOD…

A: Moment area method is a method to calculate slope and deflection in a beam using the help of…

Q: 1. A semi-infinite steel beam of second moment of area I, = 4.0 × 10° mmª is supported on an elastic…

A: Write the given information.

Q: A 6 ft long 2” x 12” beam is subjected to a uniform (edge-to-edge) distributed load of 1500 lbs per…

Q: consider the cantilevered W14 x 30 beam shown E = 29(103) ksi, I = 291 in4 determine the maximum…

A: Show the free body diagram of the beam as in Figure 1.

Q: alion the elastic portion Ab 0I the beam, b) Please find the slope at A, c) Please find the slope at…

Q: 3, Using moment area theorem, find the slope and deflection at the free end of cantilever beam if El…

A: Given DataEI=6×106Nm2M=4kNP=16kN BMD and SFD

Q: For the beam shown; 1. Determine the equations of slope and deflection. 2. Determine the slope and…

Q: Compute the maximum bending moment, maxi- mum deflection and the maximum bending stress for a…

A: For a railroad rail subjected to a single wheel load of 100 kN, we must calculate the maximum…

Q: 1.5 k/ft 30 k D. B 6 ft +4 ft- 5 ft- El E = 1,500 ksi I = 20,000 in.4 constant

A: to find- the slope at point B deflection at point C

Q: For the beam and loading shown below, determine the beam deflection at point H. Assume that El = 6.0…

A: The deflection of the beam is calculated as: θA=ML6EIM=12wLHA2=126.7×3.42=38.726 kN.m…

Q: 2- The beam shown carries a distributed load of maximum intensity wo = 4300 Ib/in over its span of…

Q: b. Determine the deflection of the beam at midpoint for the beam loading system shown in the figure…

Q: Hw: Find te slope and deflection in the section (A-A) and the Section cB-B) for the beam Shown.…

A: Given Data: The uniform load is w= 2 kN/m. The span of the beam is L=4.5 m The value of E=205 GPa.…

Q: For the cantilever steel beam [E = 180 GPa;1= 94 x 10 mmil. use thedouble-integration method to…

Q: a. The Shear and Moment Diagram of the beam ABC b. The Deflection at points B & C. c. The Slope at…

Q: The cantilever beam is subjected to the point loads P = 3 kN and P = 6 kN. 250 mm 250 m

Q: For AC Beam Below Determine Moments and Reactions at Supports by Moment Distribution Method. 10 kNm…

Q: Question 77 A light-alloy beam (i.e., assume weightless beam) has a solid rectangular homogeneous…

Q: A simply supported beam is loaded as shown in the figure. Determine the slope and deflection at the…

Q: For the prismatic beam and load shown in fig. determine the slope and deflection at point D

Q: Quiz: A straight beam ABCD is rigidly built-in at A and D and carries point loads of § kN at B and…

A: Fixed end moments are the reaction moments formed in a beam member under specific load conditions…

Q: -30. Calculate the deflection at point C of a beam subjected to uniformly distributedload w = 275…

Q: The steel (E 200 GPå, I = 351 x 10° mm*) beam shown below has a pin support at A, a roller support…

A: RA+RC=55×10=550 KWM=-(55×10×5)+(RC×7.2)=0Rc×7.2=2750RC=382 KN

Q: 04: For the beam shown in Fig. 4, determine the deflection at point D and indicate whether the…

Q: The simple beam carries a concentrated load P = 20kN. Dimension a and b are 2.5m and 1.5m.…

Q: A steel wide-flange section is used as a cantilever beam having a span of 6 ft. The beam supports a…

Q: In the following cantilever beam structure, the equation of elastic curve in the range of 0s x s a…

A: Write the boundary conditions for the cantilever beam.

Q: ..s) The beam shown is fixed at A and to be supported by rod BC at B. The beam carries a uniform…

Q: 60 k 3 k/ft A В -10 ft- -10 ft- -10 ft- El = constant E = 29,000 ksi I =4,000 in.4

A: Cantilever beam Cantilever beam is defined as the beam in which it contains fixed support at one end…

Q: h F The beam of length 5.9 (m) and cross section base 0.10 (m) and height 0.16 (m) shown is made of…

Q: A simply supported aluminum beam of square cross-section of span of 1.8 m carries a uniformly…

Q: Find the deflection at the mid-point BC of the loaded beam as shown in the figure by the double…

Q: Q2: Cantilever beam shown in Figure fixed supported at point A. Determine the deflection at point B.…

A: When any beam is subjected to a load, it deflects, and the neutral axis becomes a curved line which…

Q: A fixed-end beam is subjected to a pointload at mid-span. The beam has a rectangular crosssection…

A: given; →P=12KN =12*103N→L=4m =4*103mm→hb=2→E=11GPa =11*103MPa (a)maximum deflection(δmax)=2mm

Q: Problem 2 Moment-Area Method: For the given beam below, answer the questions. El = constant: 5 kN 8…

A: Draw the free body diagram of the beam.

Q: A cantilever beam with a uniform load (seefigure) has a height h equal to 1/8 of the length L.The…

A: When a load is placed on a beam the beam tends to defect or sag .deflection plays a significant role…

Q: 2. For the shaft shown below, having diameter 30 mm and mass density 7700 kg/m³, (1) (ii) (iii)…

Q: b. Determine the deflection of the beam at midpoint for the beam loading system shown in the figure…

Q: For the beam and loading shown below, determine the beam deflection at point H. Assume that EI = 5.7…

Q: A cantilever beam of cross section 90 mm.width 120mm deep Carrie's a UDL of 12KN/m. Over the entire…

Q: 3. FIND THE REACTIONS USING THREE MOMENT EQUATION AND SLOPE DEFLECTION EQUATION AND DRAW THE SHEAR…

A: E1=constantMLLLELIL+2MCENTERLLELIL+LRERIR+MRLRERIR+6AQELILLL+6AbERIRLR=…

Concept explainers

Mechanical Drawings

A mechanical drawing is described as a technical drawing created by engineers following standard layout conventions, terminology, interpretation, and many other factors. It is also known as an engineering drawing.

Question

please write clearly and show all steps

2- The beam shown carries a distributed load of maximum
intensity wo = 4300 Ib/in over its span of length L= 20 ft., E =
29*106 psi, and I = 3x10³ in*. Determine the maximum
moment, the slope at the end, maximum deflection, and the
deflection at a distance of 14 ft. from the right end of the
beam.
y
Wo
X
- L

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 by step

Solved in 4 steps with 4 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 simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable deflect ion at point C is 0.5 mm, select the lightest W360 section from Table F-l{b) that can be used for the beam. Assume that L = 3 m and ignore the distributed weight of the beam.
-10 The simple beam AB shown in the figure supports two equal concentrated loads P: one acting downward and the other upward. Determine the angle of rotation A at the left-hand end, the deflection 1under the downward load, and the deflection 2 at the midpoint of the beam.
An overhanging beam ABC of height h has a sliding support at A and a roller at B, The beam is heated to a temperature Tton the top and T2on the bottom (see figure). Determine the equation of the deflection curve of the beam, the angle of rotation 6Cat end C, and the deflection Bfat end C.
A fixed-end b earn is subjected to a point load at mid-span. The beam has a rectangular cross section (assume that the h/b ratio is 2) and is made of wood (E = 11GPa). Find height h of the cross section if the maximum displacement of the beam is 2 mm. Calculate the displacement of the beam at the inflection points.
An S6 × 12.5 steel cantilever beam AB is supported by a steel tic rod at B as shown. The tie rod is just taut when a roller support is added at Cat a distance s to the left of £, then the distributed load q is applied to beam segment AC, Assume E = 30 × 106 psi and neglect the self-weight of the beam and tie rod. Sec Table F-2(a) in Appendix F for the properties of the S-shape beam. (a) What value of uniform load q will, if exceeded, result in buckling of the tie rod if L1, =6 ft, s = 2 ft, H = 3 ft, and d = 0.25 in.? (b) What minimum beam moment of inertia ibis required to prevent buckling of the tie rod if q = 200 lb/ft, L1, = 6 ft, H = 3 ft, d = 0.25 in., and s = 2 ft? (c) For what distance s will the tic rod be just on the verge of buckling if q = 200 lb/ft, L1= 6 ft, M = 3 ft, and d = 0.25 in.?
The cantilever beam ACE shown in the figure has FlexuraI rigidity EI = 2,1 x 106kip-in". Calculate the downward deflections Scand 8Sat points C and B, respectively, due to the simultaneous action of the moment of 35 kip-in. applied at point C and the concentrated load of 2,5 kips applied at the free end B.
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
An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is compressed by axial loads that have a resultant P = 2800 lb acting at the midpoint of the long side of the cross section (sec figure). Assuming that the modulus of elasticity E is equal to 10 × 106 psi and that the ends of the bar are pinned, calculate the maximum deflection and the maximum bending moment Mmax.
An object of weight Wis dropped onto the midpoint of a simple beam AB from a height h (see figure). The beam has a rectangular cross section of area A. Assuming that h is very large compared to the deflection of the beam when the weight PFis applied statically, obtain a formula for the maximum bending stress crniilx in the beam due to the falling weight.
A symmetric beam A BCD with overhangs at both ends supports a uniform load of intensity q (see figure). Determine the deflection SDat the end of the overhang. (Obtain the solution by using the modified form of Castiglianos theorem.)
An overhanging beam ABC with a rectangular cross section has the dimensions shown in the figure. A weight W = 750 N drops onto end C of the beam. If the allowable normal stress in bending is 45 MPa, what is the maximum height h from which the weight may be dropped? (Assume E = 12 G Pa,)
A propped cantilever steel beam is constructed from a W12 × 35 section. The beam is loaded by its self-weight with intensity q. The length of the beam is 1L5 ft. Let E = 30,000 ksi. Calculate the reactions at joints A and B. Find the location of zero moment within span AB. Calculate the maximum deflection of the beam and the rotation at joint B.