In the following cantilevered beam impact configuration pictured in Fig. 1, Determine: 1. The value of the equivalent spring K. 2. The values of the maximum impact force Fmax for weight heights ranging between h = 0 to 2 m. 3. Plot the maximum impact force Fmax as a function of the weight height h. 4. Plot the maximum force Fmax versus the maximum spring displacement Smaxwhen the weight height varies between h = 0 to 2 m. The beam has a resctangular cross section area. E = 70 GPa a = 10 cm b = 2 cm L = 1 m M = 5 kg g= 9.81 m/s² of tat M h = 0-2 m K

In the following cantilevered beam impact configuration pictured in Fig. 1, Determine: 1. The value of the equivalent spring K. 2. The values of the maximum impact force Fmax for weight heights ranging between h = 0 to 2 m. 3. Plot the maximum impact force Fmax as a function of the weight height h. 4. Plot the maximum force Fmax versus the maximum spring displacement Smaxwhen the weight height varies between h = 0 to 2 m. The beam has a resctangular cross section area. E = 70 GPa a = 10 cm b = 2 cm L = 1 m M = 5 kg g= 9.81 m/s² of tat M h = 0-2 m K

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...

See similar textbooks

Similar questions

7. A compound lever as shown below. Find the effort P. if the system is used to lift a mass of 800kg. (10) S00 mam 400 mm 350 mm S0mm 800 kg 8. An oil drum 600mm in diameter and length Im is to be rolled over a step 120mm in height. Find the least pull through the centre of the drum required just to turn the drum over the step. Also find the reaction on the step. Assuming all the surfaces to be smooth. Take density of oil as 1 kg/litre and neglecting weight of the drum. (10) 50 mm
2. The figure shows a spring chair. The chair weight is 100 N. The spring free-length is 500 mm, mean diameter is 200 mm, wire diameter is 10 mm and number of turns is 12. The spring wire material is Music wire A228 with modulus of rigidity of 82700 MPa. Calculate the initial deflection of the spring under the chair weight. If a child seats on the chair, calculate his weight to bush the spring to the shut height. Calculate the stresses in the spring at that condition. BFD'N y = d*G 8FD T = K, 4C +2 K = 4C – 3 D C = --- o00000000od
A manufacturer wants to design a hydraulic floor crane that can lift an engine with a maximum weight of 5300 N. Two choices are considered for the beam ABC, a T‐beam and a C‐beam, as shown below. The beam has a uniform weight distribution (Ps 8000 kg/m3) Question: Calculate the area moment of inertia for each cross‐section.( for the T and C beam) note: you might have to do the parallel axis theorem to solve. And the 70mm on the top of the C beam is supposed to got to the end of the top part of the C beam and not stop at the y prime axis(the whole to of the C beam is 100mm)
A sandwich board advertising sign is constructed as shown in the figure below. HingenO 0.50 m Chain 1.30m CG CG Uniform board (cG at center) 1.10 m The sign's mass is 7.20 kg. (a) Calculate the tension in newtons in the chain assuming no friction between the legs and the sidewalk. 19.4238 (b) What force is exerted in newtons by each side on the hinge? 0201 ErooksCce Thomson Learing
A truck of mass 1 tonnes runs into a buffer stop having three buffer springs each of 15 kN/cm stiffness connected in parallel. Find the maximum compression of the springs, and the load if the wagon is travelling at 110 kmph. Equivalent Stiffness of spring in kN/mm is Kinetic Energy in kNmm The maximum compression of the spring in mm Load acting on the spring in kN is
1. Consider the slider-crank linkage shown in Fig. 1, representing a low speed compressor so that inertial effects are negligible. It is assumed that gravity forces are also small compared with the other forces and that all forces lie in the same plane. The dimensions are OB = 30 cm, and BC = 70 cm Find the required crankshaft torque Tand the bearing forces for a total gas pressure force P = 3 kN when the crank angle o = 30° crank angle Fig. 1. Slider Crank Mechanism
A hydraulic crane of total mass (including the mass of the boom) 53O0kg supports a load of 800kg. The boom mass 500kg is 7m long and makes an angle of 50 degrees with the horizontal. The boom's center of the boom length. Also assume that the center of mass of the crane excluding the boom acts at the middle of the outrigger jacks that are 4m apart. Draw the FBD of the crane and boom. Find the reaction force at the rear outrigger jack (Nr) and at the front (Nf) for the system to be in equilibrium. Assume the ground is friction less. 7m 1m
5 m 4m cg L... + B 2 m 3m GIVEN: BEAM MASS=45KG CENTER GRAVITY AT CG BOX MASS IS 90KG A = PIN B = ROLLER ASK: REACTION FORCES AT A & B
A simple log bridge in a remote area consists of 2 parallel logs with planks across them. The log has an average diameter of 300 mm. A truck moves slowly across the bridge, which spans 2.5 m. Assume that the weight of the truck is equally distributed between the 2 legs. Because the wheel base of the truck is greater than 25 m. Only 1 set of the wheels is on the bridge at a time. Thus, the wheel load on one log is equivalent to a concentrated load acting at any position along the span. In addition, the weight of 1 log and the plank it supports in equivalent to a uniform load of 65 kN/m acting on the log. 1. Determine the max permissible wheel load W based upon the allowable bending stress of of 7MPa. 2. Determine the max permissible wheel load W based upon the allowable shear stress of of 0.75MPa. 3. Determine the max permissible wheel load W based upon the allowable deflection of 6mm. E=7380 MPa
In a Proell governor, each ball weighs 2.5 kg; length of each of the main four arms in 20cms, the extended arm is 8 cm long. The pin joints of the main arm are 4 cm from the axis of the governor. For the sleeve to be on its bottom stop the distance between the top and bottom hinge points of the main arms is 30 cm and then the extended arm is vertical. Find the weight of central load when the sleeve just leaves the bottom stop at 150 rpm. What will be the speed of the governor after the sleeve has been raised to 4 cm?
In a Proell governor, each ball weighs 2.5 kg; length of each of the main four arms in 20cms, the extended arm is 8 cm long. The pin joints of the main arm are 4 cm from the axis of the governor. For the sleeve to be on its bottom stop the distance between the top and bottom hinge points of the main arms is 30 cm and then the extended arm is vertical. Find the weight of central load when the sleeve just leaves the bottom stop at 150 rpm. What will be the speed of the governor after the sleeve has been raised to 4 cm? (b) What is meant by the term, stability of a governor? Derive the necessary conditions of stability for a centrifugal governor
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 5 m, b = 3 m, PB = 55 kN, Pc = 75 kN, and PE = 25 kN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. a PB Answer: Ay = i BO PB a B Pc a Calculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) D Pc D a D₂ PE a PE E kN, Dy= i -x E X kN.