EBK ENGINEERING MECHANICS STATICS
15th Edition
ISBN: 9780135187777
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 11.7, Problem 43P
Determine the steepest grade θ along which it can park without overturning and investigate the stability in this position.
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An AISI 1018 steel ball with 1.100-in diameter is used as a roller between a flat plate
made from 2024 T3 aluminum and a flat table surface made from ASTM No. 30 gray
cast iron. Determine the maximum amount of weight that can be stacked on the
aluminum plate without exceeding a maximum shear stress of 19.00 kpsi in any of the
three pieces. Assume the figure given below, which is based on a typical Poisson's
ratio of 0.3, is applicable to estimate the depth at which the maximum shear stress
occurs for these materials.
1.0
0.8
Ratio of stress to Pmax
0.4
90
0.6
στ
Tmax
0.2
0.5a
a
1.5a
2a
2.5a
За
Distance from contact surface
The maximum amount of weight that can be stacked on the aluminum plate is
lbf.
A carbon steel ball with 27.00-mm diameter is pressed together with an aluminum ball
with a 36.00-mm diameter by a force of 11.00 N. Determine the maximum shear
stress and the depth at which it will occur for the aluminum ball. Assume the figure
given below, which is based on a typical Poisson's ratio of 0.3, is applicable to estimate
the depth at which the maximum shear stress occurs for these materials.
1.0
0.8
Ratio of stress to Pma
9 0.6
στ
24
0.4
Tmax
0.2
0
0.5a
a
1.5a
Z
2a
2.5a
За
Distance from contact surface
The maximum shear stress is determined to be
MPa.
The depth in the aluminum ball at which the maximum shear stress will occur is
determined to be [
mm.
Chapter 11 Solutions
EBK ENGINEERING MECHANICS STATICS
Ch. 11.3 - Each link has a mass of 20 kg.Ch. 11.3 - Determine the magnitude of force P required to...Ch. 11.3 - Determine the angle for equilibrium. The spring...Ch. 11.3 - Determine the angle for equilibrium. The spring...Ch. 11.3 - Prob. 5FPCh. 11.3 - Determine the angle for equilibrium. The spring...Ch. 11.3 - The lamp weighs 10 lb.Ch. 11.3 - Each of the four links has a length L and is pin...Ch. 11.3 - Determine the force screw exerts on the cork of...Ch. 11.3 - Determine the disks rotation if the end of the...
Ch. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.3 - if the uniform inks AB and CD each weigh 10 lb....Ch. 11.3 - If the unstretched length of the spring is I0,...Ch. 11.3 - It vertical forces P1 = P2 = 30 lb act at C and E...Ch. 11.3 - Prob. 10PCh. 11.3 - The spring which always remains vertical. Is...Ch. 11.3 - Prob. 12PCh. 11.3 - Prob. 13PCh. 11.3 - Prob. 14PCh. 11.3 - Prob. 15PCh. 11.3 - Prob. 16PCh. 11.3 - Prob. 17PCh. 11.3 - Determine the angle for equilibrium. The spring...Ch. 11.3 - Determine the stillness k of the spring for...Ch. 11.3 - Determine the horizontal compressive force F...Ch. 11.3 - Prob. 21PCh. 11.3 - Prob. 22PCh. 11.3 - The lever is in balance when the load and block...Ch. 11.3 - If the load F weighs 20 lb and the block G weighs...Ch. 11.3 - Determine the force in the hydraulic cylinder...Ch. 11.7 - Determine the equilibrium positions and...Ch. 11.7 - Prob. 27PCh. 11.7 - If the potential function for a conservative...Ch. 11.7 - Prob. 29PCh. 11.7 - Prob. 30PCh. 11.7 - The rod BD, having negligible weight, passes...Ch. 11.7 - Determine the angle for equilibrium when a weight...Ch. 11.7 - Determine the angle for equilibrium and...Ch. 11.7 - Prob. 34PCh. 11.7 - Prob. 35PCh. 11.7 - The bars each have a mass of 3 Kg one the...Ch. 11.7 - The bars each have a mass of 10 kg and the spring...Ch. 11.7 - Determine the required stiffness k of the spring...Ch. 11.7 - It is unstretched when the rod assembly is in the...Ch. 11.7 - Determine the minimum distance d in order for it...Ch. 11.7 - If the spring is unstretched when = 60. Determine...Ch. 11.7 - The contact at A is smooth, end both are pm...Ch. 11.7 - Determine the steepest grade along which it can...Ch. 11.7 - Determine the weight W2, that is on the pan in...Ch. 11.7 - If the rod is supported by a smooth slider block...Ch. 11.7 - Point C is coincident with B when OA is...Ch. 11.7 - Prob. 47PCh. 11.7 - Prob. 48PCh. 11.7 - If the block has three equal sides of length d,...Ch. 11.7 - Prob. 1RPCh. 11.7 - Determine the horizontal force P required to hold...Ch. 11.7 - Prob. 3RPCh. 11.7 - Prob. 4RPCh. 11.7 - Prob. 5RPCh. 11.7 - Prob. 6RPCh. 11.7 - If both spring DE and BC are unstretched when =...Ch. 11.7 - Prob. 8RP
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- Show all work pleasearrow_forwardDraw top, side, front view With pen(cil) and paper Multi view drawing and handwriting all of itarrow_forwardA wheel of diameter 150.0 mm and width 37.00 mm carrying a load 2.200 kN rolls on a flat rail. Take the wheel material as steel and the rail material as cast iron. Assume the figure given, which is based on a Poisson's ratio of 0.3, is applicable to estimate the depth at which the maximum shear stress occurs for these materials. At this critical depth, calculate the Hertzian stresses σr, σy, σz, and Tmax for the wheel. 1.0 0.8 0, т Ratio of stress to Pmax 0.4 0.6 90 69 0.2 0.5b b 1.5b Tmax 2b Distance from contact surface The Hertizian stresses are as follows: 02 = or = -23.8 psi for the wheel =| necessary.) σy for the wheel =| MPa σz for the wheel = MPa V4 for the wheel = | MPa 2.5b ཡི 3b MPa (Include a minus sign ifarrow_forward
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