Consider a circular hole in a plate with stresses σx = 7 MPa and σy = 98 MPa applied to the plate edges. Determine the maximum tensile stress in the plate.

For the flat bar in Figure A of Table 14.3, let t = 4ρ and b = 36ρ. Using Neuber’s nomograph (Figure 14.10), determine the value of Scc for the case where the bar is subjected to bending.

The tension member has a rectangular cross section with D = 75 mm, d = 50 mm, r = 12.5 mm, and a thickness of 6 mm. If P = 1.9 kN, determine the maximum normal stress at the section through the base of the fillets using Figure 14.16.

The beam has a rectangular cross section with D = 55 mm, d = 50 mm, r = 35 mm, and a thickness of 6 mm. If M = 16.6 N·m, determine the maximum normal stress at the section through the base of the fillets using Figures 14.24 and 25.

The beam has a rectangular cross section with D = 62.5 mm, d = 50 mm, r = 30 mm, and a thickness of 8 mm. If M = 19.5 N·m, determine the maximum normal stress at the section through the base of the fillets using Figures 14.24 and 25.

The beam has a rectangular cross section with D = 50 mm, d = 40 mm, r = 24 mm, and a thickness of 8 mm. If M = 19.6 N·m, determine the maximum normal stress at the section through the base of the fillets using Figures 14.24 and 25.

The notched bar is subjected to an axial tensile load of P = 30 kN. The major bar width is D = 296 mm, the minor bar width at the notches is d = 288 mm, and the radius of each notch is r = 4 mm. If the maximum tensile stress in the bar must not exceed 78 MPa, determine the minimum required bar thickness using Neuber’s nomograph (Table 14.3 and Figure 14.10).

The tension member has a rectangular cross section with D = 56 mm, d = 40 mm, r = 8 mm, and a thickness of 3 mm. If P = 1.4 kN, determine the maximum normal stress at the section through the base of the fillets using Figure 14.16.

The beam has a rectangular cross section with D = 55 mm, d = 50 mm, r = 35 mm, and a thickness of 7 mm. If M = 17.1 N·m, determine the maximum normal stress at the section through the base of the fillets using Figures 14.24 and 25.

Consider a circular hole in a plate with stresses σx = 8 MPa and σy = 105 MPa applied to the plate edges. Determine the maximum tensile stress in the plate.