Problem 4: Two steel tubes are joined at B by four pins (dp = 11 mm), as shown in the cross-section a-a in the figure. The outer diameters of the Pin tubes are daB = 40 mm and dec = 28 mm. The wall thicknesses are taB = 6 mm and tBc = 7 mm. The yield stress in tension for the steel is oy = 200 MPa and the ultimate stress in tension is ou = 340 MPa. The corresponding ultimate value in shear of the pin is 140 MPa. Assume that the factors of safety with respect to the yield and ultimate stress are 4 and 5, respectively. a.) Calculate the allowable tensile force Pallow Considering tension in dp TAB 1вс the tubes. dAB dpc b.) Recompute Pallow for shear in the pins.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.9.4P: Two steel tubes are joined at B by four pins (dp= 11 mm), as shown in the cross section a—a in the...
Question

Two steel tubes are joined at B by
four pins (dp = 11 mm), as shown
in the cross-section a-a in the
figure. The outer diameters of the
tubes are dAB = 40 mm and dBC = 28
mm. The wall thicknesses are tAB =
6 mm and tBC = 7 mm. The yield
stress in tension for the steel is y
= 200 MPa and the ultimate stress
in tension is U = 340 MPa. The
corresponding ultimate value in
shear of the pin is 140 MPa.
Assume that the factors of safety
with respect to the yield and
ultimate stress are 4 and 5,
respectively.
a.) Calculate the allowable tensile
force Pallow considering tension in
the tubes.
b.) Recompute Pallow for shear in
the pins.

Problem 4:
Two steel tubes are joined at B by
four pins (dp = 11 mm), as shown
in the cross-section a-a in the
figure. The outer diameters of the
Pin
tubes are daB = 40 mm and dec = 28
mm. The wall thicknesses are taB =
6 mm and tBc = 7 mm. The yield
stress in tension for the steel is oy
= 200 MPa and the ultimate stress
in tension is ou = 340 MPa. The
corresponding ultimate value in
shear of the pin is 140 MPa.
Assume that the factors of safety
with respect to the yield and
ultimate stress are 4 and 5,
respectively.
a.) Calculate the allowable tensile
force Pallow Considering tension in
dp
TAB
1вс
the tubes.
dAB
dpc
b.) Recompute Pallow for shear in
the pins.
Transcribed Image Text:Problem 4: Two steel tubes are joined at B by four pins (dp = 11 mm), as shown in the cross-section a-a in the figure. The outer diameters of the Pin tubes are daB = 40 mm and dec = 28 mm. The wall thicknesses are taB = 6 mm and tBc = 7 mm. The yield stress in tension for the steel is oy = 200 MPa and the ultimate stress in tension is ou = 340 MPa. The corresponding ultimate value in shear of the pin is 140 MPa. Assume that the factors of safety with respect to the yield and ultimate stress are 4 and 5, respectively. a.) Calculate the allowable tensile force Pallow Considering tension in dp TAB 1вс the tubes. dAB dpc b.) Recompute Pallow for shear in the pins.
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