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Problem 01 | Stress in Helical Spring

Situation
The helical spring shown is axially loaded with a compression force P equal to 5 kN. The mean diameter of the spring is 100 mm and the wire used is 10 mm as indicated in the figure.

  1. What is the shear stress at A?
  2. What is the shear stress at B?
  3. On diameter AB, locate the point of zero stress measured from C.

 

001-spring-torque-plus-shear.png

 

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Problem 908 | Combined Axial and Bending

 Problem 908
A punch press has the cast steel frame shown in Figure P-908. Determine the greatest force P that can be exerted at the jaws of the punch without exceeding a stress of 18 ksi at section A-B. The properties of the area are as shown and 1-1 is the centroidal axis.
 

908-punch-press.gif

 

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Problem 907 | Combined Axial and Bending

Problem 907
Determine the largest load P that can be supported by the circular steel bracket shown in Figure P-907 if the normal stress on section A-B is limited to 80 MPa.
 

907-circular-bracket.gif

 

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Problem 906 | Combined Axial and Bending

Problem 906
For the 2-in. by 6-in. wooden beam shown in Fig. P-906. Determine the normal stress at A and B. Are these the points of maximum normal stress? If not, where are they located and what are their values?
 

906-beam-with-inclined-load.gif

 

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Problem 905 | Combined Axial and Bending

Problem 905
A wooden beam 100 mm by 200 mm, supported as shown in Figure P-905, carries a load P. What is the largest safe value of P is the maximum stress is not to exceed 10 MPa?
 

905-simple-beam-inclined-load.jpg

 

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Problem 904 | Combined Axial and Bending

Problem 904
To avoid interference, a link in a machine is designed so that its cross-sectional area is reduced one half at section A-B as shown in Fig. P-904. If the thickness of the link is 50 mm, compute the maximum force P that can be applied if the maximum normal stress on section A-B is limited to 80 MPa.
 

904-link-with-area-reduced.gif

 

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Problem 903 | Combined Axial and Bending

Problem 903
A cast iron link is 40 mm wide by 200 mm high by 500 mm long. The allowable stresses are 40 MPa in tension and 80 MPa in compression. Compute the largest compressive load P that can be applied to the ends of the link along a longitudinal axis that is located 150 mm above the bottom of the link.
 

902-superpositioned-stresses.jpg

 

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Combined Axial and Bending

Problem 902
Compare the maximum stress in bent rod 1/2 in. square, where the load P is 1/2 in. off center as shown in Figure P-902, with the maximum stress if the rod were straight and the load applied axially.
 

902-bar-in-eccentric-compression.gif

 

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Problem 885 | Continuous Beam by Moment Distribution Method

Problem 885
Solve for the support moments in Problem 825 if the ends are perfectly fixed instead of simply supported.
 

825-continuous-beam.gif

 

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Problem 884 | Continuous Beam by Moment Distribution Method

Problem 884
Compute the moments over the supports of the beam shown in Fig. P-856.
 

856-overhanging-fixed-beam.gif

 

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