9-1* A beam is loaded and supported as shown in Fig. P9-1. Determine (a) The equation of the elastic curve. Use the desig- nated axes. (b) The deflection at the left end of the beam. (c) The slope at the left end of the beam.

9-1* A beam is loaded and supported as shown in Fig. P9-1. Determine (a) The equation of the elastic curve. Use the desig- nated axes. (b) The deflection at the left end of the beam. (c) The slope at the left 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 9.9.9P: A simple beam ABC DE supports a uniform load of intensity iy (see figure). The moment of inertia in...

See similar textbooks

Related questions

Q: Learning Goal: A material is homogenous and isotropic when it has a modulus of elasticity that does…

A: Note:- The last question is not interlinked.As per honor code and answering guidelines I can answer…

Q: . Using a project start time of 0 (or January 1) and a required project completion time of 180 days…

A: Given:To find:Produce a bar chart (gantt chart) based on the es and ef times from the schedule

Q: A bicycle tire has a pressure of 9.41 x 105 N/m² at a temperature of 20.2°C and contains 1.92 L of…

A: Given data:To find:The final pressure of tire.

Q: 2. A element was made of a material with the material parameters of a b MPa, os 600MPa, o-1-360MPa,…

A: Given:To find:

Q: Consider a 10m deep wall with a cross section as shown below. If the temperature on the left side of…

Q: -1m- -1m- B -1m P D

A: Internal radius, Outer radius, The moment of inertia is-

Q: Helium is contained in a 2m^3 rigid tank at 50C and 200kPa. Calculate the heat transfer needed to…

Q: What is the moment that the water exerts about the bottom edge of the dam (point P)?

Q: 6-145 The drinking water needs of a production facility with 20 employees is to be met by a bubbler…

Q: 1. A thin-walled cylinder with a diameter of 20 cm and a wall thickness of 2 mm is filled with gas…

A: Given:Diameter, d = 20 cm or 200 mmWall thickness, t = 2 mmInternal pressure, P = 2 MPaRequired: (…

Q: Calculate the magnitude of the force P, acting as shown, that will cause the 200-lb crate to move,…

Q: A 100 kW pump is moving water at 1 m^3/min. If the inlet pressure is 200 kPa (gauge), what is the…

A: The power input to the pump, The volume flow rate of the water, The inlet pressure of the water,…

Q: 1.2) Problem. 3 The following forces (all pull) act at a point : (i) 25 N due North ; (ii)…

Q: Find the resultant force. What angle does it make with East ? 25 N due North ; 10 N North-East ; 15…

A: Find the resultant force. What angle does it make with East ?25 N due North ;10 N North-East ;15 N…

Q: 2) A Refrigerant 134a at 1 MPa and 12 °C is mixed with another stream at 1 MPa and 60 °C. If the…

Q: The rigid assembly which consists of light rods and two 1.5-kg spheres rotates freely about a…

A: The mass of each sphere, (m)=1.5 kgThe value of moment (M)=2t N.mDetermine the final angular…

Q: The buoy in (Eigure 1) is made from two homogeneous cones each having a radius of 1.5 ft. Figure 4…

A: The buoy in (Figure 1) is made from two homogeneous cones each having a radius of 1.5 ft.If it is…

Q: Total pressure port (in) port m (0) Col A pitot-static pressure probe (see Fig. 9.28, and the…

A: For the solution refer below images.

Q: A fire hose is shooting water at a refrigerator at 10 kg/s with a velocity of 10 m/s. This flow is…

Q: problem. Determine the numerical value in kPa (do not write units though) of gauge pressure of a…

Q: For a short interval, collars A and B are sliding along the fixed vertical shaft with velocities v4…

A: The velocity of point A is The velocity of point B is .The angle is

Q: For the the given beam calculate the deflection of the beam at the center point and the reaction…

Q: голь 40° Find P. do, 25°

Q: 6.7. Calculate the force exerted by the water on this orifice plate. Assume that water in the jet…

A: A figure is provided, and it is given that the weight of the vena contract is 4lb.The force exerted…

Q: Calculate the values of the Rx for the two parts of Example 17.1 shown below. Boundary layers on…

Q: You are replacing an HVAC system in your building. The system is a hot water system that consists of…

Q: *5-60. The platform scale consists of a combination of third and first class levers so that the load…

Q: By using MARKOV PROCESS draw the Markov diagram for the below system Supply A L1 Line A (failures…

A: In order to address the issue and create the Markov diagram, we'll do the following:Step 1:…

Q: 1. The upper surface of a 50-cm-thick solid brass plate (k-109 W/m K) is being cooled by water with…

Q: A site is being considered for wind power generation. At this site, the wind blows steadily at 9 m/s…

A: The density of air is .The velocity of wind is .The flow area is .The time duration is .The…

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

Q: What are the key challenges and trends in microchip design and fabrication as we move towards…

A: To explain:the key challenges and trends in microchip design and fabrication.

Q: You are working at a medical device company, and are helping to design a new needle system that…

Q: 5 m F₂=40 N A F₁=70 N C b 2 m

A: The position vector-

Q: Given the angle section below with a 2200 ft lbf bending moment applied 30 degrees off the vertical…

Q: Practice Two vertical forces are applied to a beam of the cross section shown. Determine the maximum…

A: The objective is to determine the maximum tensile and maximum compressive stresses in the BC portion…

Q: PROBLEM:/ GKN 9 kN/m 1.5m. 3 kN/m m + x3m x + 15° 1.5m

A: Given the distrubuted load determine all support reactions.

Q: A two-stage compression refrigeration system with an adiabatic liquid-vapor separation unit like…

A: The evaporator operates at .The condenser operates at .The separator is at .The compressor work are…

Q: Q7. A gear is lifted by a crane through a steel cable of length 4 m and diameter 0.01 m. If the…

Q: Linearize the model ? = ? ? ?^(?? )and solve for the coefficients by hand using the following data

Q: A system is being designed to remove heat from a server rack in a data center. The figure below…

A: Given:To find:

Q: Could you determine the maximum deformation (deflection) of the fuselage frame under the 22.05 lb…

Q: Where would wB/C, wC/N, wB/N and theta be in the shown figure?

Q: 7-46. Draw the shear and moment diagrams for the beam (a) in terms of the parameters shown; (b) set…

A: To determine:The shear force and bending moment diagram.

Q: Which of these parts has the highest moment of inertia resisting the force applied? C. H{=HI O A.…

A: The moment of inertia is a measure of an object's resistance to twisting.The higher the moment of…

Q: The cars on the amusement-park ride rotate around the axle at A with a constant angular velocity…

A: The angular velocity frame is .The angular velocity of axle is .

Q: A cylindrical shaft of diameter 5 cm slides through a cylindrical hole in a 0.5-m- thick block. The…

Q: PROBLEM: 2 1.5ft 3 ft .2 ft 3 Ft-

Q: determine the largest load P

Q: As we saw in Problem Set 2, on a Thursday, Jeanie decided that she would like to have a dinner party…

A: Given:PredecessorTiCiTi'Ci'AChoosing dishes/recipes--21000.5150BInviting and confirming # of…

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

Don't provide answers in image format

9-1* A beam is loaded and supported as shown in Fig.
P9-1. Determine
(a) The equation of the elastic curve. Use the desig-
nated axes.
(b) The deflection at the left end of the beam.
(c) The slope at the left end of the beam.
y
A
X
-L
Figure P9-1
B

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Differential equations

VIEW

Step 2: sub part a - elastic curve equation

VIEW

Step 3: Sub part b and c.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 7 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

-33 Find the horizontal deflection hand vertical deflection vat the free end C of the frame ABC shown in the figure. (The flexural rigidity EI is constant throughout the frame.) Note: Disregard the effects of axial deformations and consider only the effects of bending due to the load P.
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.
Determine the plastic modulus Z and shape factor/for a W 12 x 14 wide-flange beam. Obtain the cross-sectional dimensions and section modulus of the beam from Table F-l(a) in Appendix F.
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.
A beam ABCD consisting of a simple span BD and an overhang AB\s loaded by a force P acting at the end of the bracket CEF (see figure), Determine the deflection at the end of the over h a tig. Under what conditions is this deflection upward? Under what conditions is it downward?
Determine the angle of rotation 0Band deflection
An overhanging beam ABC is subjected to a couple MAat the free end (see figure). The lengths of the overhang and the main span are a and L, respectively. Determine the angle of rotation 04and deflection S4at end A. (Obtain the solution by using the modified form of Castigliano's theorem.)
The cantilever beam shown in the figure supports a triangularly distributed load of maximum intensity qü. Determine the deflection SBat the free end B. (Obtain the solution by determining the strain energy of the beam and then using Castigliano's theorem.)
Using the method of superposition, determine the deflection at the free end of the beam for the cantilevered beam shown below. The beam is fabricated out of steel with a S20 x 66 American Standard section. q Given: • L = 16 ft • M = 38 kip. ft • q = 5 kip/ft Yright = Yright -¹/2 number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) - L in M
11-5 The beam AB shown in the figure is considered as a rigid structure without any deformation. The simple beam DE is a rectanglular wood beam (100 mm300 mm in cross section) with Ebeam=10GPa. A steel rod AC (Erod=200GPa) of diameter 6mm and length 3m serves as a hanger to strengthen the beam DE. The hanger fits snugly between the beams before the uniform load (q is 6kN/m) applied to beam DE. Using the superposition method, determine the tensile force F in the hanger and the maximum bending moments Mmax in beam DE.
Consider the cantilevered W14 x 30 beam shown in (Eigure 1). E-29(10) ksi, I-291 in Figure <10f1 Skip Part A Determine the expression for the elastic curve using the coordinate z for 05a59ft, where is in feet Express your answer in terms of z. Express your answer using three significant figures. AX+ IT vec Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Part B Determine the maximum slope of the beam, measured counterclockwise from the positive z axis Express your answer using three significant figures VAX Ivec Previous Arawers Request Aca X Incorrect; Try Again; 5 attempts remaining Submit ft ? rad
For the wire form shown, use Castigliano's method to determine the deflec- tion of point A in the y direction. Consider the effects of bending and torsion only. Use the straight beam formulation for the bending energy. The wire is steel with E 200 GPa, v = 0.29, and has a diameter of 5 mm. Before cation of the 200-N force the wire form is in the xz plane 100 mm. = appli- where the radius R is