DEPARTMENT OF CIVIL ENGINEERING, IIT BOMBAY CE306 STRUCTURAL MECHANICS III

Transcription

1 Tutorial sheet- EPRTMENT OF V ENGNEERNG, T OMY E06 STRUTUR MEHNS nstructor: r. R. S. Jangid. erive the flexibility matrix for the structures in Figure (a) to (e) with respect to the coshown ordinates. / / (a) (b) (c) / / (d) (e)

2 Tutorial sheet- EPRTMENT OF V ENGNEERNG, T OMY E06 STRUTUR MEHNS. nalyse the following problems using the direct flexibility method. nstructor: r. R. S. Jangid 0 kn/m f=9/e 80kN 00kN-m m m (a) (b) 5mm E=0,000 kn.m (c) 60kN (d)

3 Tutorial sheet- EPRTMENT OF V ENGNEERNG, T OMY E06 STRUTUR MEHNS nstructor: r. R. S. Jangid. etermine the horizontal and vertical displacement of joint of the pin-jointed frame as shown in Figure using generalized flexibility method. E=0 5 kn for all members.. etermine the force in various members of the frame shown in Figure.. etermine the force in various members of the frame shown in Figure. 4. etermine the force in various members of the frame shown in Figure 4 if the member is short by 8 mm. Take =00 mm and E=50 GPa for all members. 80 kn 00 kn 50 kn 50 kn m G F E Figure. Figure. 0 kn 80 kn Figure. Figure 4.

4 Tutorial sheet-4 EPRTMENT OF V ENGNEERNG, T OMY E06 STRUTUR MEHNS nstructor: r. R. S. Jangid. nalyse the uniform beam as shown in Figure and draw the bending moment diagram using the generalized flexibility method.. nalyse the uniform beam if the joint rotates by an angle θ and support settles downwards by an amount (refer Figure ). Use generalized flexibility method.. nalyse the uniform beam as shown in Figure using generalized flexibility method. 4. Find the force in the spring of the uniform beam as shown in Figure 4 using the generalized flexibility method. 5kN/m Figure. θ Figure. W Figure. w f Figure 4.

5 Tutorial Sheet-5 EPRTMENT OF V ENGNEERNG, T OMY E06 STRUTUR MEHNS nstructor: r. R. S. Jangid. nalyse the frames shown in Figures to and draw the bending moment diagram using the generalized flexibility method. E is constant for all members of the frame. 50kN/m m.5m.5 m.5m Figure. 0 kn/m P 4 m 4 m Figure. Figure.

6 Tutorial Sheet-6 EPRTMENT OF V ENGNEERNG, T OMY E06 STRUTUR MEHNS nstructor: r. R. S. Jangid. erive the stiffness matrix for the structures with respect to the co-ordinates as shown below. (a) (b) 0.8 (c) (d)

7 Tutorial Sheet-7 EPRTMENT OF V ENGNEERNG, T OMY E06 STRUTUR MEHNS nstructor: r. R. S. Jangid. nalyze the beams as shown in Figures and by direct stiffness method.. nalyze the pin-jointed frame as shown in Figure using the direct stiffness method.. nalyze the frame as shown in Figure 4 using the direct stiffness method. 60kN 50kN m m m m Figure. 0 kn 5 kn/m 0 kn 80 kn E=9*0 5 N m m m m Figure. 0.5m m Figure. W Figure 4.

8 Tutorial Sheet-8 EPRTMENT OF V ENGNEERNG, T OMY E06 STRUTUR MEHNS nstructor: r. R. S. Jangid 4. nalyze the pin-jointed frame as shown in Figure by using the generalized stiffness method if the member is short by 5mm and is forced in position. 5. nalyze the continuous beam as shown in Figure using the generalized stiffness method. 6. nalyze the rigid-jointed frame as shown in Figure by using the generalized stiffness method 7. nalyze the rigid-jointed frame as shown in Figure 4 using the generalized stiffness method. =000mm E=00 GPa 00kN 80kN.5m.5m m Figure. Figure. 00KN 60KN Figure. Figure 4.

9 Tutorial Sheet-9 EPRTMENT OF V ENGNEERNG, T OMY E06 STRUTUR MEHNS nstructor: r. R.S. Jangid. Write general computer programs for the analysis of (i) pin-jointed structures, (ii) continuous beams and (iii) right-jointed frames. Using above computer programs analyse the structures shown in Figure. 50 kn 00 kn 60kN 0kN/m 6m 60kN Figure.. lso, analyze the above problems using any standard Structural nalysis Software.

10 Tutorial Sheet-0 V ENGNEERNG EPRTMENT, T OMY E06 STRUTUR MEHNS nstructor: r. R. S. Jangid. nalyze the pin-jointed frame as shown in Figure using the stiffness method if there is a rise of temperature by an amount of 7QOOPHPEHUV$(VFRQVWQWRUOOPHPEHUV. nalyze the rigid-jointed frame as shown in Figure using the stiffness method by both ignoring and considering the axial deformation. E is constant for all members.. alculate the slope at, and and deflection at for the beam as shown in Figure by transfer matrix method. 4. nalyze the continuous beam as shown in Figure 4 by transfer matrix method, if support rotates by an angle θ and support settles by an amount of. 5. nalyze the fixed beam as shown in Figure 5 by transfer matrix method. 6. nalyze the continuous beam as shown in Figure 6 by transfer matrix method. P W Figure. Figure. W θ Figure. Figure 4. W w 8 Figure 5. Figure 6.