Unless otherwise noted, the given loads are superimposed loads; neglect the beam

Question

Unless otherwise noted, the given loads are superimposed loads; neglect the beam weight; neglect shear and moment considerations. Unless otherwise noted, use any appropriate method to calculate deflection. A 1/4 in. diameter aluminum rod is bent into a circular ring having a mean diameter of 125 in. Compute the maximum bending stress in the rod. Calculate the maximum bending stress produced in a 1/32 in. diameter steel wire when it passes around a 20 in. diameter pulley. An aluminum wire has a diameter of d in. Determine the minimum diameter D of the coil in which the wire can be wound without exceeding a bending stress of 30,000 psi. A 3 in. wide by 1/2 in. thick board is bent to a radius of curvature of 62 in. by a bending moment of 700 in.-lb. Calculate the modulus of elasticity. A Douglas fir beam is 6 in. wide and 14 in. deep. Compute the radius of curvature of the beam if it is subjected to a constant bending moment of 200,000 in.-lb. Compute the maximum deflection of a 10 in. by 14 in. simply supported solid rectangular California redwood (S4S) beam. The span length is 15 ft and the beam is subjected to a uniformly distributed load of 1000 lb/ft. The allowable deflection is 1/300 of the span length. Is the beam satisfactory? A W 16 times 45 structural steel beam is simply supported on a span length of 24 ft. It is subjected to two concentrated loads of 12 kips each applied at the third points (a = 8 ft). Compute the maximum deflection. A 4 in. diameter, 12 ft long solid steel shaft having a circular cross section is used as a simply supported beam. A concentrated load P is to be applied at mid-span. Calculate the maximum allowable load P. Consider moment and deflection. Neglect shear. The allowable bending stress is 22,000 psi and the allowable deflection is 0.50 in. Assume that a company's design criterion specifies that the deflection at the center of a simply supported solid (circular cross section) steel shaft due to its own weight must not exceed 0.010 in. per foot of span, (a) Calculate the maximum permissible span length for a 3 in. diameter shaft, (b) Calculate the bending stress caused by the weight of the shaft. A steel wide-flange section is used as a cantilever beam having a span of 12 ft. The beam supports a distributed load that varies uniformly from 5 kips/ft at the support to zero at the free end. Determine the required moment of inertia of the beam if the deflection is not to exceed 1/240 times the span. A W10 times 22 structural steel wide-flange beam on a simple span of 16 ft supports a concentrated load of 10,000 lb at midspan. Calculate the end rotation of the beam. A W24 times 84 structural steel wide-flange beam on a simple span of 30 ft supports a uniformly distributed load of 3.0 kips/ft. Calculate the end rotation of the

Explanation / Answer

1)

E for aluminium = 10,000 ksi

R = 0.5*125 = 62.5 in

y = 0.5 * (1/4) = 0.125 in

Maximum Bending stress= (E/R) * y = (10000/62.5)*0.125 = 20 ksi.

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.