งานนำเสนอเรื่อง: "Strength of Materials I EGCE201 กำลังวัสดุ 1"— ใบสำเนางานนำเสนอ:
1 Strength of Materials I EGCE201 กำลังวัสดุ 1 Instructor: ดร.วรรณสิริ พันธ์อุไร (อ.ปู)ห้องทำงาน: 6391 ภาควิชาวิศวกรรมโยธาโทรศัพท์: 66(0) ต่อ 6391
2 Shearing Stress in Multiple Shafts Static equilibrium must be satisfied.The vector of all applied torques = 0TA+TB+TC+TD=0The shearing stress at any point in the shaft is a function of theInternal torque on a plane containing the point. The maximumStress is computed fromInternal torqueRadius of the shaftThe polar moment of inertia
3 The shearing stress at a point on shaft through which section 1 passes can onlybe defined once the internal torque isdetermined.From the free-body diagram, the internal torqueat the sectionThe shearing stress is given by
4 The shearing stress at a point on shaft through which section 2 passes can onlybe defined once the internal torque isdetermined.From the free-body diagram, the internal torque at the sectionThe shearing stress is given by
5 Angle of Twist in Multiple Shafts For this shaft sections AB, BC, and CE will each have differentInternal torque (FBD)Polar moment of inertiaShear ModulusLengthThe angle of twist of the end of a shaft consisting ofN sections is expressed as
11 Statically Indeterminate Shafts Both ends of the shaft are built in, leading to two reaction torques but one has only one moment equilibrium equation.The compatibility equation is the relative rotation!See example
12 Assuming a counterclockwise torque is positive, summingmoments about the axis of theshaft results inThe total angle of twist of theshaft must be 0 since both endsare fixed.