A cast aluminum solid cylinder of 7 cm diameter (in standing straight up position), fits loosely into a cast bronze sleeve having an outside diameter of 12 cm and inside diameter of 7.5 cm and a height of 1 m. The aluminum cylinder is 0.042 cm longer than the bronze cylinder before the application of a force. A rigid flat plate carrying a total force W kN is placed on top of the cast aluminum cylinder. Take Euunze=82x10° kN/m², Ealuminum=69x10° kN/m². а) Draw the complete free body diagram of the problem b) Calculate the value of W, if the safe working stresses for bronze are 32,000 kN/m² and for aluminum is 61,000 kN/m². c) What will be the stress in the two materials when the maximum force is applied?

A cast aluminum solid cylinder of 7 cm diameter (in standing straight up position), fits loosely into a cast bronze sleeve having an outside diameter of 12 cm and inside diameter of 7.5 cm and a height of 1 m. The aluminum cylinder is 0.042 cm longer than the bronze cylinder before the application of a force. A rigid flat plate carrying a total force W kN is placed on top of the cast aluminum cylinder. Take Euunze=82x10° kN/m², Ealuminum=69x10° kN/m². а) Draw the complete free body diagram of the problem b) Calculate the value of W, if the safe working stresses for bronze are 32,000 kN/m² and for aluminum is 61,000 kN/m². c) What will be the stress in the two materials when the maximum force is applied?

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter4: Coplanar Equilibrium Analysis

Section: Chapter Questions

Problem 4.153P: Repeat Prob. 4.152 assuming that the 400-kN force is applied at O instead of L.

See similar textbooks

Similar questions

In the figure shown, the large piston on the left has a diameter of D1 = 9.00 cm.The small piston on the right has a diameter of D2 = 4.00 cm.A lever arm pivot is located a = 5.00 cm to the left of the small piston.A small cylinder hangs from the end of the lever arm a distance b = 25.0 cm to the right of the small piston.In the absence of friction, determine the weight of the cylinder on top of the large left piston which can be supported in equilibrium with the small mass (m = 0.350 kg)hanging from the far right lever arm.Provide a force vector diagram (free body diagram).
An upright hollow brass cylinder, inner radius = 5 cm and outer diameter = 18 cm, is 30 cm tall. If the top of the cylinder is subjected to a tangential force of 8600 N, determine the angle at which it slants.
You open a restaurantand hope to entice customers byhanging out a sign (Fig. ).The uniform horizontal beam supportingthe sign is 1.50 m long, hasa mass of 16.0 kg, and is hingedto the wall. The sign itself is uniformwith a mass of 28.0 kg andoverall length of 1.20 m. The twowires supporting the sign are each32.0 cm long, are 90.0 cm apart,and are equally spaced from themiddle of the sign. The cable supportingthe beam is 2.00 m long.(a) What minimum tension mustyour cable be able to support without having your sign come crashingdown? (b) What minimum vertical force must the hinge be able to supportwithout pulling out of the wall?
Consider a homogeneous right circular cylinder of lengthL , radius R , and specifi c gravity SG =0.5, fl oating in water(SG = 1). Show that the body will be stable with its axishorizontal if L / R > 2.0.
For the wheelbarrow in the fiqure the center of gravity of a net load of 40 kg is located 50 cm from the wheel. What upward lift must be applied at a point on the handles that is 1.4m from the wheel? A) 780N B) 260N C)140N D)520N
A 200 kg, 5 m wide rectangular gate is hinged at B and leans against the floor at Amaking an angle of 45 degrees with the horizontal (figure above). Determine theminimum force F, applied at the center of the gate required to open it.
To get up on the roof, a person (mass 85.0 kg) places a 6.20 m aluminum ladder (mass 15.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The top of the ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the base, as measured along the ladder. The person is standing on the ladder 3.00 m from the base, as measured along the ladder. Find the normal reaction and friction forces (in N) on the ladder at its base. (Enter the magnitudes.)
. The small piston of a hydraulic lift (g. 1) has a cross-sectional area of 3.00cm2, and its large piston has a cross-sectional area of 200cm2. What downward force of magnitude F1 must be applied to the small piston for the lift to raise a load whose weight is Fg = 15.0kN?
Janice is grilling a steak for her July 4th barbecue dinner. The steak initially weighs 300 grams and is 25 mm thick. After grilling it for a while, she considers the steak done, and measures it again: it now weighs 215 grams, and is 15 mm thick. For both the cooked and uncooked steak, she uses the thumb-test to determine the done-ness, i.e. she uses her thumb (area ~5cm2) to push down with a force of 5 N. The uncooked steak compresses by 7 mm, and the cooked steak by 2 mm. Calculating elasticity What is the elasticity of the raw steak? Express your answer in Pascals but without including the units in your answer. What is the elasticity of the cooked steak? Express your answer in Pascals, but without including the units.
The iceberg idealization may becomeunstable if its sides melt and its height exceeds its width. InFig. suppose that the height is L and the depth intothe paper is L , but the width in the plane of the paper isH , L. Assuming S =0.88 for the iceberg, fi nd the ratio H / Lfor which it becomes neutrally stable (about to overturn).
The diameter of ball which is suspended by a rope in atmosphere is 10cm , what is the tension in the rope if the density of ball is 2000kg/m3 10.2 N 13.6 kN 56.4 N 40.5 kN
A man on the wire singing "Man on a Wire" while practicing for his circus show has reached the center of the rope, creating a dip on the center angled at 63.2 degrees. If the mass of the man is 49.55 kg and the tension force that can be handled by the wire is 449.77N, would the wire break? Show the tension caused by the man hanging on the wire.