The pin-connected structure consists of a rigid bar ABCD and two axial members.

Question

The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 196 GPa, ? = 12.3 10?6/C ] with a cross-sectional area of A1 = 310 mm2. Bar (2) is an aluminum alloy [E = 88 GPa, ? = 21.3 10?6/C] with a cross-sectional area of A2 = 320 mm2. The bars are unstressed when the structure is assembled. After a concentrated load of P = 25 kN is applied and the temperature is decreased by 52C, determine:
(a) the normal stresses ?1, ?2 in bars (1) and (2).
(b) deflection ?D of point D on the rigid bar (positive if down, negative if up).

The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 196 GPa, ? = 12.3 10?6/C ] with a cross-sectional area of A1 = 310 mm2. Bar (2) is an aluminum alloy [E = 88 GPa, ? = 21.3 10?6/C] with a cross-sectional area of A2 = 320 mm2. The bars are unstressed when the structure is assembled. After a concentrated load of P = 25 kN is applied and the temperature is decreased by 52C, determine: (a) the normal stresses ?1, ?2 in bars (1) and (2). (b) deflection ?D of point D on the rigid bar (positive if down, negative if up).

Explanation / Answer

let forces in A and B are Fa and Fb

now taking moment balance about C

Fa*890 + Fb*660 = 25*700

angular displacement of point A and point B about point C will same.

axial deformation = FL/EA

for beam A deformation(Da)= Fa*980*10-3/(196*310*103) + 0.98*12.3

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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