ENGR.MECH.:STAT.+DYNAMICS
15th Edition
ISBN: 9780134780955
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 9, Problem 26P
Locate the centroid
Probs. 9-26/27
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What is the difference between true stress/strain and engineering stess/strain? And how do I calculate them?
A rotating shaft of 20 mm diameter is simply supported.
The shaft is loaded with a transverse load of 10 kN as shown in
the figure. The shaft is made from AISI 1095 hot-rolled steel. The
surface has been machined. The shaft operate at
temperature T = 450 °C. Consider a reliability factor of 95%.
Determine
(a) Calculate the reaction forces R, and R₂ (2 points)
(b) Draw the shear force and bending moment diagrams
and determine the maximum bending moment and
shear force. (6 points)
200 mm
20 mm
10,000 N
-50 mm-
A
Not to scale.
(c) Determine the critical location of the shaft and the maximum effective stresses. (3 points)
(d) Calculate the safety factor against yielding. Does the shaft undergo local yielding? (2 points)
(e) Determined the endurance limit, adjusted as necessary with Marin factors. (12 points)
(f) Calculate the fatigue factor of safety based on achieving infinite life. (2 points)
(g) If the fatigue factor of safety is less than 1 (hint: it should be for this problem), then…
(read image)
Chapter 9 Solutions
ENGR.MECH.:STAT.+DYNAMICS
Ch. 9 - Determine the centroid (x,y) of the shaded area....Ch. 9 - Determine the centroid (x,y) of the shaded area....Ch. 9 - Determine the centroid of the shaded area. Prob....Ch. 9 - Locate the centroid of the homogeneous solid...Ch. 9 - Locate the centroid z of the homogeneous solid...Ch. 9 - Locate the center of gravity x of the homogeneous...Ch. 9 - Locate the center of gravity of the homogeneous...Ch. 9 - Locate the centroid of the area.Ch. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Locate the centroid of the shaded area. Probs....
Ch. 9 - Locate the centroid x of the area. Probs. 9-11/12Ch. 9 - Locate the centroid of the area. Probs. 9-11/12Ch. 9 - Locate the centroid x of the area. Probs. 9-13/14Ch. 9 - Locate the centroid of the area. Probs. 9-13/14Ch. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Locate the centroid of the shaded area. Probs....Ch. 9 - Prob. 23PCh. 9 - Locate the centroid of the shaded area. Probs....Ch. 9 - Prob. 25PCh. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Locate the centroid of the shaded area. Probs....Ch. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - Prob. 40PCh. 9 - Prob. 50PCh. 9 - Locate the centroid (x,y,z) of the wire bent in...Ch. 9 - Prob. 8FPCh. 9 - Prob. 9FPCh. 9 - Prob. 10FPCh. 9 - Prob. 11FPCh. 9 - Prob. 51PCh. 9 - Prob. 52PCh. 9 - Prob. 54PCh. 9 - Prob. 56PCh. 9 - Prob. 60PCh. 9 - Locate the centroid (x,y) of the shaded area....Ch. 9 - Locate the centroid of the cross-sectional area...Ch. 9 - Prob. 72PCh. 9 - The sheet metal part has the dimensions shown....Ch. 9 - Prob. 77PCh. 9 - Prob. 79PCh. 9 - Prob. 80PCh. 9 - Prob. 81PCh. 9 - Prob. 82PCh. 9 - Prob. 83PCh. 9 - Prob. 87PCh. 9 - Prob. 89PCh. 9 - Prob. 13FPCh. 9 - Prob. 14FPCh. 9 - Prob. 15FPCh. 9 - Prob. 16FPCh. 9 - Prob. 91PCh. 9 - Prob. 92PCh. 9 - Prob. 95PCh. 9 - Prob. 96PCh. 9 - Determine the volume of concrete needed to...Ch. 9 - Determine the surface area of the curb. Do not...Ch. 9 - Prob. 103PCh. 9 - Prob. 105PCh. 9 - Prob. 107PCh. 9 - Prob. 113PCh. 9 - Determine the magnitude of the hydrostatic force...Ch. 9 - Determine the magnitude of the hydrostatic force...Ch. 9 - Prob. 19FPCh. 9 - Prob. 20FPCh. 9 - Prob. 21FPCh. 9 - The load over the plate varies linearly along the...Ch. 9 - Prob. 118PCh. 9 - Prob. 119PCh. 9 - When the tide water A subsides, the tide gate...Ch. 9 - The tank is filled with water to a depth of d = 4...Ch. 9 - Prob. 127PCh. 9 - Prob. 128PCh. 9 - Prob. 1RPCh. 9 - Prob. 2RPCh. 9 - Prob. 3RPCh. 9 - Prob. 4RPCh. 9 - Prob. 5RPCh. 9 - Prob. 6RPCh. 9 - Prob. 7RPCh. 9 - Prob. 8RPCh. 9 - The gate AB is 8 m wide. Determine the horizontal...Ch. 9 - Prob. 10RP
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