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- The pin is used to connect the three links together. Due to wear, the load is distributed over the top and bottom of the pin as shown on the free-body diagram. The diameter of the pin is d = 11.4 mm. (Figure 1) Part A Determine the maximum bending stress on the cross-sectional area at the center section a-a. For the solution it is first necessary to determine the load intensities wi and w2 Express your answer to three significant figures and include the appropriate units. HA ? Omax = Value Units Submit Request Answer Figure 1 of 1 < Return to Assignment Provide Feedback 3600 N W2 W2 25 mm 25 mm 40 mm 1800 N 1800 NTwo steel rods are welded together (see figure);the seam is oriented at angle θ = 50°. The stresses onthe rotated element are σ x1 = 10 ksi, σy1 = -12 ksi,and τx1y1 = -5 ksi. Find the state of plane stress onthe element if it is rotated clockwise to align the x1axis with the longitudinal axis of the rods.A magnesium-alloy rod (E = 6.5 x 10 ksi) of Prob. 3.4-6. diameter d 1 in. is encased by a brass tube (E 15 x 10 ksi) with outer diameter d. = 1.5 in.; both have length. L = 20 in. An axial load P = 10 kips is applied to the resulting bimetallic rod. (a) Determine the normal stresses and , in each material, assuming that the magnesium rod and brass tube are securely bonded to each other. (b) Determine the elongation of the bimetallic rod. P
- Determine the force P necessary to close the gap at the steel post. The steel post is 2 inch x 2 inch square and 8 in high. The aluminum alloy bar is 1.5 inch wide by 1 inch thick and 20 in long. The horizontal bar is considered rigid as are the loading caps at the steel post. The modulus of elasticity for the steel is 30,000 ksi, that of aluminum is 10,000 ksi. The yield stress for the steel is 36 ksi, that of the aluminum is 40 ksi. 8" 10" Steel 10" Rigid Aluminum 20 inches long * P 10" Gap = 0.02 inchesThe compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.95 in., a length of L₁ = 40 in., a shear modulus of 3800 ksi, and an allowable shear stress of 6.0 ksi. Brass segment (2) has an outside diameter of 0.75 in., a wall thickness of 0.13 in., a length of L₂ = 28 in., a shear modulus of 6400 ksi, and an allowable shear stress of 7.7 ksi. Determine: (a) the allowable torque TB that can be applied to the compound shaft at flange B. (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB. y L₁ L2 TB. X (1) (2) N Answer: (a) TB = (b) T₁ = T₂= (c) DB = lb-ft lb-ft lb-ft rad B CThe compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.80 in., a length of L1 = 40 in., a shear modulus of 3800 ksi, and an allowable shear stress of 6.3 ksi. Brass segment (2) has an outside diameter of 0.60 in., a wall thickness of 0.05 in., a length of L2 = 30 in., a shear modulus of 6400 ksi, and an allowable shear stress of 7.7 ksi. Determine:(a) the allowable torque TB that can be applied to the compound shaft at flange B.(b) the magnitudes of the internal torques in segments (1) and (2).(c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB.
- o Given: A stepped shaft with the following properties Copper: A = 2 in² E = 16 × 106 psi Steel: A = 1 in² E = 30 × 106 psi copper 12" steel 12" P steel 12" copper 6" → P HA o Find: P such that the deformation, A is 0.1 in at the end of the bar.The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.55 in., a length of L₁ = 40 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.8 ksi. Brass segment (2) has an outside diameter of 0.45 in., a wall thickness of 0.15 in., a length of L₂ = 30 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.2 ksi. Determine: (a) the allowable torque Te that can be applied to the compound shaft at flange B. (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB. L₁ L2 TB (1) Answer: (a) TB= (b) T₁ = T2= (c) OB= B lb-ft lb-ft lb-ft rad (2) CThe compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.95 in., a length of L1 = 45 in., a shear modulus of 3800 ksi, and an allowable shear stress of 6.6 ksi. Brass segment (2) has an outside diameter of 0.80 in., a wall thickness of 0.14 in., a length of L2 = 32 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.2 ksi. Determine: (a) the allowable torque TB that can be applied to the compound shaft at flange B. (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB.
- Compound axial member ABC has a uniform diameter of d = 1.25 in. • Segment (1) is an aluminum [E, = 10000 ksi] alloy. The length of segment (1) is L, = 70 in. • Segment (2) is a copper [E2 = 17000 ksi] alloy. The length of segment (2) is L2 = 98 in. When axial force Pis applied, a strain gage attached to copper segment (2) measures a normal strain of 8z = 2100 uin./in. in the longitudinal direction. What is the total elongation of member ABC? L2 Aluminum B Сорer Answer: in. AL = iThe compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.90 in., a length of L1 = 55 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.6 ksi. Brass segment (2) has an outside diameter of 0.75 in., a wall thickness of 0.06 in., a length of L2 = 20 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.4 ksi. Determine: (a) the allowable torque Tg that can be applied to the compound shaft at flange B (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque T.The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.55 in., a length of L₁ = 40 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.2 ksi. Brass segment (2) has an outside diameter of 0.35 in., a wall thickness of 0.06 in., a length of L₂ = 24 in., a shear modulus of 6400 ksi, and an allowable shear stress of 7.7 ksi. Determine: (a) the allowable torque Te that can be applied to the compound shaft at flange B. (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB. L₁ (1) TB B L2 (2)