The figure above shows a beam with different loading conditions. Compute the mag

Question

The figure above shows a beam with different loading conditions. Compute the magnitude and direction for the reactions at the supports to maintain the beam in equilibrium. Unless stated otherwise, consider the weight of the beam to be small relative to the applied loads, and therefore negligible. The figure above shows a beam with different loading conditions. Compute the magnitude and direction for the reactions at the supports to maintain the beam in equilibrium. Unless stated otherwise, consider the weight of the beam to be small relative to the applied loads, and therefore negligible.

Explanation / Answer

Let R1 and R2 be the reaction forces. Since beam is in equilibrium, the sum of verical forces must be zero.        SFy = 0        R1+R2 - Fw = 0        R1+ R2- (20 lb/in)(18 in)= 0       R1+ R2 = 360 lb   ----------(1) And also St =0             R1(0) + R2(18 in)- (360 lb)(18 ln/2) =0                       R2 = 180 lb         Substitute the value of R2 in equation (1) ,we get                R1 = 180 lb Direction is upward.     

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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