Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. The diameter of aluminum rod (1) is 2.50 in., the diameter of brass rod (2) is 1.75 in., and the diameter of steel rod (3) is 3.00 in. Determine the axial normal stress in each of the three rods. Assume P= 5 kips, Q = 3 kips, R = 13 kips and 5 = 24 kips. The normal stress is positive if tensile and negative if compressive. 01 || Answers: 0₂ = 03 = (1) Q (2) (3) i A i Mi B S D C ksi ksi ksi

An angled strut b = 6.2 in. thick is subjected to a force F = 55 kip and a uniformly distributed load q = 23.5 kip/ft as shown below. Determine the principal stresses at points A, B, and C. (op1) A = (0₂2) A = (pl) B = (p2)B= (pl) c = (p2) c = = 15 in. 10 in. number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) F 12.5 in. -7.5 in.- -12.5 in. ksi ksi ksi ksi ksi ksi q

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For the structure shown in the figure, calculate the size of the bolt and area of the bear- 1-18. ing plates required if the allowable stresses are 18,000 psi in tension and 500 psi in bearing. Neglect the weight of the beams. Ans. 1.25 in., 30 in.2 Bearing plates 6" x 10 " One bolt 9 k 6" x 10" 3' 6' 3' 6'

Calculate non-zero stress components (normal and shear) at points A, B and C. Point C is located at the center of the cross section attached to the wall. Calculate non-zero strain components at point B. Neglect shear stress due to shear force. Given: loading F = 400 N, P-2000 N, and T = 75 N·m, Young's modulus E = 70 GPa, Poisson's ratio v = 0.25 15-mm D. -100 mm

4. The stepped circular bar shown below is made from aluminum (E = 70 GPa, v = 0.35). Each segment is 400 mm in length. Prior to applying the loads, the bar has the dimensions shown. The structure is axially loaded as shown. Determine the stress in each segment, the maximum stress and its location, the final in length of the structure, and the final diameters of each segment due to the applied loads. All dimensions shown are in mm. Ø 25 40 15 ↑ Fu 300 kN 600 kN 300 kN

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The bracket shown in the figure below is fixed supported and has an applied force of 5kip with 40 degre angle at the center of the top surface and has a rectangle cross-section and P is located 0.5 in below the neutral axis of the cross-section. calculate the state of stress at point P step by step, please.Thanks for your time and help

3. Four pulleys are attached to the 50-mm-diameter aluminum shaft. If torques are applied to the pulleys as shown in the figure, determine the maximum shear stress in each segment and the angle of rotation of pulley D relative to pulley A. Use G = 28 GPa for aluminum. a. Tab= b. Tbc= C. Tbc= ad= 1100 N·m 800 N·m D C 900 N·m 600 N m B A 2 m3 m2 m

Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 5 mm, and it is supported by double- shear pin connections at B and D. The pin at bracket A is a single-shear connection. The pin at B is 7 mm in diameter. Assume a = 560 mm, b = 280 mm, h = 450 mm, and 0= 70%. If the normal stress in tie rod (1) cannot exceed 200 MPa and the shear stress in pin B cannot exceed 140 MPa, determine the maximum load Pmax that can be supported by the structure. D (1) a Answer: Pmax= i B KN