The cantilever shown in the figure consists of two structural-steel channels size 3 in., 5.0 lbf/ft. Using superposition, find the deflection at A. Include the weight of the channels. Take the magnitude of force (A) to be 145 lbf. Take Las 53 in and was 4.8 lbf/in.

The cantilever shown in the figure consists of two structural-steel channels size 3 in., 5.0 lbf/ft. Using superposition, find the deflection at A. Include the weight of the channels. Take the magnitude of force (A) to be 145 lbf. Take Las 53 in and was 4.8 lbf/in.

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 9.5.44P: A cantilever beam has two triangular loads as shown in the figure. Find an expression for beam...

See similar textbooks

Related questions

Q: A 3-strand chain and sprocket turns 650 rpm and has a service factor of 1.5. If 15 HP/strand chain…

A: P=15hp Pt=3P=45hp=45x550=24750lb. ft/s { 1hp=550 lb.ft/s } N=650rpm fos=1.5 We need to find The…

Q: 2) DETERMINE TENSION T. W = 400 16 T W

Q: In an incompressible flow, we know that u and v are both nonzero but constant in magnitude. What can…

A: Given data:- Incompressible flow velocity component u= constant and non-zero v=constant and non-zero…

Q: 2. For the locking pliers (also known as vise grip) shown (Fig. 2) here the link lengths are |AB| =…

A: Sub-Part A: The kinematic diagram of the given plier is shown below. Mobility: M = 3(L-1) - 2J…

Q: Consider flow of blood in the microvessels of the body, assuming Poiseuille’s law holds and that the…

A: Solution: Given Data: Consider flow of blood in the microvessels of the body, assuming Poiseuille’s…

Q: Consider the beam and loading shown. Use P=10 kN and E= 200 GPa. (For $130 x 15,/= 5.12 x 10-6 m²)…

A: Given: P=10kN, E =200Gpa=200×106kN/m2 and S130×15, l=5.12×10-6m4EI=200×106×5.12×106=1024kN/m2 Where…

Q: Find the mass moment of inertia, Izz, for the spherical ceramic femoral head ball (with a…

A: The radius of the sphere is r, The radius of the cylinder is r/2. The height of the cylinder is…

Q: While calculating the Wnet it is nessesary to reduse the pump work i think, can you fix this please

A: The inlet pressure at the turbine P3 =P2 =10 MPa The inlet temperature at the turbine T3= 350 °C…

Q: 3. A 60cm diameter pipe, conveying water, branches into two pipes of diameter 35cm and 25 cm…

Q: Q1) For a cone clutch, see figure (Q1), when the wear is uniform (Pr=constant), show that the…

Q: How many and what kinds of materials are needed to start a thread?

A: To start a thread, you typically need the following materials: Thread material: This can be made…

Q: 3. minor arc AB of a vertical circle with centre O and radius I m, as shown in the diagram. particle…

A: Given: The tension at C, T= 2mg

Q: The slider P can be moved inward by means of the string S, while the slotted arm rotates about point…

A: Write the given data. θ=0.84t-0.056t2r=1.42 at t=0r˙=-0.15 m/s

Q: 1. A 300mm long composite bar is constructed by bonding an alloy steel outer sleeve of outside…

A: The given information in the problem is shown in the following attached image:

Q: Required information A cyclist is riding with a speed v= 20 mph over an inclined road with 0= 15°.…

Q: For intrinsic gallium arsenide, the room temperature electrical conductivity is 10€ (2-m)-¹; the…

A: Given, Electrical Conductivity σ=10-6(Ω-m)-1 Electron Mobility μe = 0.85 m2V-s Hole Mobility…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: A method to measure angular velocity is to use a proximity sensor that generates a pulse when a…

A: Given data: Total teeth = 65 Frequency = 4256 Hz To find: engine speed in rpm

Q: A simple seismometer used to measure ground motion is shown in the figure below. If the mass m = 300…

A: Given: The mass m=300 kg Stiffness k=3000 Nm Damper c=600 Nm The ratio of output to input amplitude…

Q: At an axial load of 22 kN, a 15-mm-thick x 35-mm-wide polyimide polymer bar elongates 4.6 mm while…

A: Given data: Axial load: F = 22 kN Thickness of the bar: t = 15 mm Width of the bar: w = 35 mm…

Q: You want to stop the acceleration of the boxes in the figure above by applying an additional force…

Q: simple air cooled system is used for an aeroplane to take a load of 10 tons. Atmospheric temperature…

A: Consider the diagram shown below for the simple air refrigeration cycle. Given data:

Q: A steel bar (Es= 210 GPa) and an aluminum bar (Ea = 70 GPa) are bonded together to form the…

A: To find: The maximum stress in the steel. Given: The modulus of elasticity for the steel is Es=210…

Q: The structure is designed to support _______ kN load. The structure consists of a boom and rod…

Q: An electronics device generates 37.5 W of heat energy during normal operation. The heat is…

A: heat transfer by convection is given by newton law of cooling ... Q=hA(deltaT)

Q: Train A travels with a constant speed VA = 95 km/h along the straight and level track. The driver of…

Q: 1. A 5,000 kg/min of water at 35°C enters a cooling tower where it is to be cooled to 20 °C. The…

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: Required information A thick-walled pipe is bent about a horizontal axis by a couple M. The pipe may…

Q: Using Castigliano's method, determine the deflection at point B for the beam shown below. M A a

Q: An ammonia compressor has a 5 percent clearance volume and a displacement rate of 80 L/s and pumps…

Q: F12-13. The dragster starts from rest and has an acceleration described by the graph. Construct the…

Q: *4-124. Replace the parallel force system acting on the plate by a resultant force and specify its…

Q: 3. For the canal gate shown, sketch the pressure distributions applied to it. Sketch the resultant…

Q: The triangular plate rotates about a fixed axis through point O with the angular properties…

A: Given: h=225mm=0.225mb=365mm=0.365mω=2.9rad/secα=1.6rad/s2 velocity at point A acceleration at…

Q: Compute the maximum vertical force F that can be applied at A, if the allowed elongation on steel…

A: Given data Elongation= 5mm Stress = 300MPa Youngs modulus= 300GPa Area = 30mm^2 Find the maximum…

Q: 2. In Figure 2, the wicket dam is used to hold water up to 5 m high and the dam is 3 m wide and is…

Q: ᴀn new material(any material) ꜱᴛʀᴜᴛ, 2 ᴍᴇᴛᴇʀꜱ ʟᴏɴɢ ʜᴀꜱ ᴀ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ᴄʀᴏꜱꜱ ꜱᴇᴄᴛɪᴏɴ ᴀʀᴇᴀ 20 ᴍᴍ x ꜱᴏ…

A: The length of strut is L=2 m. The yield strength is Sy=60 ksi. Young's modulus of elasticity is E=80…

Q: 5.35 Determine by direct integration the centroid of the area shown.

A: From the given data: x = a y = b Next, rearrange the given equations in terms of a and b. From…

Q: If both carriages have a total mass of 200 g and the sliding carriage is at a radius of 20 cm, what…

A: The following apparatus is normally used for the given problem. On a horizontal beam, two carriages…

Q: 3.3 At a given location the airspeed is 18 m/s and the pressure gradient along the streamline is 104…

A: Given data: airspeed, V = 18 m/s pressure gradient along the streamline, ∂P/∂s = 104 N/m3 To…

Q: In the figure shown, gear A rotates at 300 rpm. Gear S is fixed and has 80 teeth. The three…

Q: In the figure, we must apply a force of magnitude 83.0 N to hold the block stationary at x = -3.00…

Q: The device shown rotates about the fixed z-axis with angular velocity w = 22 rad/s and angular…

A: It is needed to determine the angular velocity and acceleration of point B.

Q: The 1.6-lb collar has a speed of 9 ft/s at A. The attached spring has an unstretched length of 2 ft…

Q: 15-87. It is observed that hailstones strike the surface of a frozen lake at an angle of 60° with…

A: To Find : The coefficient of restitution and the velocity just before impact. Given : The surface of…

Q: 13-13. An L-2 steel link in a forging machine is pin connected to the forks at its ends as shown.…

A: Given: An L-2 steel link in a forging machine is pin connected to the forks at its ends as shown.…

Q: The system shown below is subject to a sinusoidal base excitation with an amplitude of Y and…

A: Given: Here is the given data, M=10 kgc=472 N·smK1=17 kNmK2=3K1 kNm=51 kNmΩ=300 rpm To find: The…

Q: H.W7: A composite beam is formed by joining firmly a steel rod of 150 mm diameter inside a brass…

Q: Consider flow of blood in the microvessels of the body, assuming Poiseuille’s law holds and that the…

A: Solution: Given Data: Consider flow of blood in the micro-vessels of the body, assuming Poiseuille’s…

Q: Sketch the pressure distribution applied to the container by the fluid:

Question

The cantilever shown in the figure consists of two structural-steel channels size 3 in., 5.0 lbf/ft. Using superposition, find the deflection
at A. Include the weight of the channels. Take the magnitude of force (F) to be 145 lbf. Take Las 53 in and was 4.8 lbf/in.
L
W
46
The deflection at point A is
A
0.11 inch in the downward
✓ direction.

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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 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.
Compound beam ABC is loaded by point load P = 1.5 kips at distance 2aB from point A and a triangularly distributed load on segment BC with peak intensity qü= 0.5 kips/ft. If length a = 5 ft and length/) = 10 ft, find the deflection at B and rotation at A. Assume that £ = 29,000 ksi and / = 53.8 in4.
A simply supported slender column is subjected to axial load P = 175 kips applied at distance e = 0,5 in. from joint s A and B (see figure). The column has a circular cross section with an outer diameter of 10 in. and wall thickness of 0.5 in. Calculate the height of the column if the maximum deflection caused by the axial loads is 0,1 in. Assume that E = 29,000 ksi.
A cantileverbeam^Cßsupportstwo concentrated loads Ptand A, as shown in the figure. Calculate the deflections SBand 8Cat points B and C, respectively. Assume Px= 10 kN, P\ = 5 kN, L = 2.6 m, E = 200 GPa, and / = 20.1 x I0ft mm4.
A propped cantilever beam, fixed at the left-hand end A and simply supported at the right-hand end B, is subjected to a temperature differentia] with temperature T1on its upper surface and T2on its lower surface (see figure).
A square wood platform is 8 ft × 8 ft in area and rests on masonry walls (see figure). The deck of the platform is constructed of 2-in. nominal thickness tongue-and-groove planks (actual thickness 1.5 in.; sec Appendix CL) supported on two S-ft long beams. The beams have 4 in. × (i in. nominal dimensions (actual dimensions 3.5 in. × 5.5 in.). The planks arc designed to support a uniformly distributed load n ( lb/ft" i acting over the entire top surface of the platform. I be allowable bending stress for the planks is 2400 psi and the allowable shear stress is 100 psi. W ben analyzing the planks, disregard their weights and assume that their reactions are uniformly distributed over the top surfaces of the supporting beams. (a) Determine the allowable platform load Mr. (lb/ft2) based upon the bending stress in the planks. (b) Determine the allowable platform load if-. (lb/ft-) based upon the shear stress in the planks. (c) Which of the preceding values becomes the allowable load alolow on the platform? Hints: Use care in constructing the loading diagram for the planks, noting especially that the reactions are distributed loads instead of concentrated loads. Also, note that the maximum shear forces occur at the inside faces of the supporting beams.
A cantilever beam has a length L = 12 ft and a rectangular cross section (b = 16 in., h = 24 in.), A linearly varying distributed load with peak intensity q0acts on the beam, (a) Find peak intensity q0if the deflection at joint B is known to be 0.18 in. Assume that modulus E = 30,000 ksi. (b) Find the location and magnitude of the maximum rotation of the beam.
The compound beam shown in the figure consists of a cantilever beam AB (length L) that is pin-connected to a simple beam BD (length 2L). After the beam is constructed, a clearance c exists between the beam and a support at C, midway between points B and ZX Subsequently, a uniform load is placed along the entire length of the beam. What intensity q of the load is needed to close the gap at C and bring the beam into contact with the support?
Solve the preceding problem by integrating the differential equation of the deflection curve.
The cantilever beam AB shown in the figure has an extension BCD attached to its free end. A force P acts at the end of the extension. Find the ratio aiL so that the vertical deflection of point B will be zero. Find the ratio aiL so that the angle of rotation at point B will be zero.
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.
-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.