a.) An anchor rod with a circular head supports a load Pallow = 15 kN by bearing on the surface of a plate and passing through a hole with diameter hℎ = 2.6 cmcm as shown (Figure 1). One way the anchor could break is by the rod failing in tension. What is the minimum required diameter of the rod if the factor of safety for tension failure is F.S. = 1.6, given that the material fails in tension at σfail = 60 MPa ? Assume a uniform stress distribution. 3 sig figs d = b.) The anchor from Part A can also fail in shear in the circular head. What is the minimum thickness t required for the head to support the allowed load Pallow = 15 kN if the material fails in shear at τfail = 30 MPa ? Use a factor of safety F.S = 2.2. t = c.) The anchor in Part A could also fail if the surface of the support plate is crushed by the bearing load . What is the required minimum head diameter using a factor of safety F.S. = 1.4? The maximum bearing stress is σfail = 60 MPa. D =
a.) An anchor rod with a circular head supports a load Pallow = 15 kN by bearing on the surface of a plate and passing through a hole with diameter hℎ = 2.6 cmcm as shown (Figure 1). One way the anchor could break is by the rod failing in tension. What is the minimum required diameter of the rod if the factor of safety for tension failure is F.S. = 1.6, given that the material fails in tension at σfail = 60 MPa ? Assume a uniform stress distribution. 3 sig figs
d =
b.) The anchor from Part A can also fail in shear in the circular head. What is the minimum thickness t required for the head to support the allowed load Pallow = 15 kN if the material fails in shear at τfail = 30 MPa ? Use a factor of safety F.S = 2.2.
t =
c.) The anchor in Part A could also fail if the surface of the support plate is crushed by the bearing load . What is the required minimum head diameter using a factor of safety F.S. = 1.4? The maximum bearing stress is σfail = 60 MPa.
D =
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