A 30 in. tubular shaft is in torsion under torque 33 lb-in.. Its cross section shown below with diameter d1 = 3.2 in., diameter d2 = 1.0 in. d₂ B Calculate shear stress at point B shown above: Calculate your answer to one decimal place. psi.

X1=66 X2=606

Use R=99

Determine the maximum torque that can be applied to a hollow circular steel shaft of 100-mm outside diameter and an 80-mm inside diameter having a length of 1000 mm, without exceeding a shearing stress of 60 MPa or a twist of 0.5 deg/m. Use G = 83 GPa. Note: Draw the figure and Free Body diagram with complete solution

A beam assembly shown below is supported by a simple hinge and roller supports at A and C respectively. The 8-ft-long segment A-C (a = 4 ft) has a uniform cross section as shown in the figure, right (cross section at e-e). The beam assembly is subjected to a concentrated load (P = 3 kip) at point D, which is directly above point A. Take E = 31500 ksi. D e e R Cross section at e---e 46 3b b Ab 4b Figure 4: Simply supported beam with point load and cross-section If the maximum tensile and compressive bending stresses in the segment A-C cannot exceed ±100 ksi without failure, respectively, determine the smallest allowable dimension b in the segment cross section (see cross section at e-e above, which applies to the whole segment AC). Use F.S. = 2.

Determine the max torque that can be applied to a bicycle crank arm . A fillet exists on the wall with a radius of 1/10". Please list any other assumtions you made to complete the problem. 1. assuming torque is only applied when pedal pushed down 2. assume constant torque for full rotation Assume : Sut = 90kpsi, Sy = 50kpsi, Kf = Kfs = 1.7 , kd = ke = kf = 1

Pls answer a to d.

Figure 1 shows a simply supported beam with a concentrated force P applied at the mid-span, B. Given the modulus of elasticity is E = 210GPa. To reduce the displacement of the system, a vertical spring with spring constant ks is installed at B as shown in the figure. P 1 m I= 2.5 x 10-4 m4 B 1 m Figure 1 C k = 2 × 108 N/m7IIIIT

The simply supported beam shown below carries its own weight, a uniformly distributed live load of 300 lbs/ft, and a concentrated dead load På at midspan. The cross-section of the beam is U- shaped. It has two rows of reinforcing bars at the bottom. The bottom row has five #6 bars and the top row has three #6 bars. Let ƒ' =4,000 psi and ƒ¸ = 60 ksi. The cross-sectional area of a #6 bar is 0.44 in.². W₁ = 300 lbs/ft 10 ft. PD * 10 ft. 17 in. 3 in. b 8 #6 bars + 00 6 in. 00 14 in. b + 9 in. State the difference between a tension-controlled beam and a compression-controlled beam in terms of the strain in the reinforcement in precise and succinct sentences. Why does ACI require that a beam has to be tension-controlled?

3. A beam is loaded and supported as shown in the figure. The beam has a constant value of EI. Determine: a) The reaction at supports A and B b) The equation of the elastic curve for segment AC. c) The equation of the elastic curve for segment CB. d) The deflection at the middle of the span (point C) (Check your answer: deflection at C = McL2/32EI downward) Mc L B