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The grain of a wooden member forms an angle 15° with the vertical. For Txy =...
Required information Solve the following problems using Mohr's circle Given: P 84 MPa P 50 MPa Draw Mohr's circle and use it to determine the normal and shearing stresses after the element shown has been rotated through 25 clockwise. (Round the final answers to two decimal places.) Normal stresses: MPa (+ tensile; - compressive) Ox' Gy[ MPa (+tensile; - compressive) Shearing stress: Txy MPa (+CCW on the positive X-face)
The flanged member shown below is subjected to an internal axial force of P = 6500 lb, an internal shear force of V = 4500 lb, and an internal bending moment of M = 19200 lb-ft, acting in the directions shown. d M Iw y HI a y Ilk thu The dimensions of the cross section are: bf = 8.0 in. tp = 0.61 in. d = 11.0 in. tw = 0.38 in. The cross-sectional area of the flanged shape...
4. The couple M acts in a vertical plane and is applied to a beam oriented as shown. Determine (a) the angle that the neutral axis forms with the horizontal, (b) the maximum tensile stress in the beam 45° 0.859 in M 25 kip in 4 in 4 in 6.74 in 1..= 21.4 in4 4. The couple M acts in a vertical plane and is applied to a beam oriented as shown. Determine (a) the angle that the neutral axis...
The cylinder consists of spirally wrapped steel plates that are welded at the seams in the orientation shown. Assume β = 30 ∘ . The cylinder has an inside diameter of 31 in. and a wall thickness of 0.3125 in. The end of the cylinder is capped by a rigid end plate. The cylinder is subjected to a compressive load of P = 115 kips and a torque of T = 255 kip-ft, which are applied to the rigid end...
The cylinder consists of spirally wrapped steel plates that are welded at the seams in the orientation shown. Assume β = 20°. The cylinder has an inside diameter of 34 in. and a wall thickness of 0.3750 in. The end of the cylinder is capped by a rigid end plate. The cylinder is subjected to a compressive load of P = 125 kips and a torque of T= 210 kip-ft, which are applied to the rigid end cap in the...
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 51 ksi, Sy = 11 ksi, and Sxy = 32 ksi. (a) Determine the principal stresses (01 > 092) and the maximum In-plane shear stress Fruux acting at the point. (b) Find the smallest rotation angle 8, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then...
Part The cylinder consists of spirally wrapped steel plates that are welded at the seams in the orlentation shown. Assume 35, The cylinder has an Inslde diameter of 33 in. and a wall thickness of 0.3750 in. The end of the cylinder is capped by a rigld end plate. The cylinder is subjected to a nompressive load af P-80 kips and a torque of T-210 kip-ft, which are applied to the rigid and can in the directions shown. Datermina: (a)...
Part 1 Correct Three loads are applied to the cantilever beam shown. The cross-sectional dimensions of the beam are shown in second figure. Assume a = 10 in, h = 2 in., k =3 in, e = 4 in., P = 26 kips, Q = 21 kips, R = 10 kips, b = 9 in., and d - 13 in (a) Determine the normal and shear stresses at point K. (b) Determine the principal stresses and maximum in-plane shear stress...
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 45 MPa, Sy = 10 MPa, and Sxy = 36 MPa. (a) Determine the principal stresses ( σ p 1 > σ p 2 ) and the maximum in-plane shear stress τ max acting at the point. (b) Find the smallest rotation angle θ p (counterclockwise is positive, clockwise is...
The below wooden double overhanging beam is under a uniformly distributed load W. The wood is weak along the orientation of the grain (or wood cell fibres) that makes an angle of 30° with the horizontal (see figure). The maximum shear stress on a plane parallel to the grain that the wood can sustain is t,max = 5 MPa, and the maximum normal stress of wood is omax = 25 MPa. The Young modulus of this wood is E=15 GPa....