Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Question
Chapter D, Problem 4P
To determine
Calculate the reactions for the given beam.
Sketch the shear and bending moment diagrams for the given beam.
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2 Find the support reactions in the beam ABC shown in Fig. P.15.2 using the principle of
virtual work.
Ans. RA=(W+2wL)/4, Rc=(3W+2wL)/4.
EXAMPLE 3.3
Determine the force in each member of the scissors truss shown in
Fig. 3-2la. State whether the members are in tension or compression.
The reactions at the supports are given.
700 N
800 N
SOLUTION
A, 566 N
60
60
The truss will be analyzed in the following sequence:
30°
30
Joint E, Fig. 3-21b. Note that simultaneous solution of equations
is avoided by the x, y axes orientation.
3m
3 m
E,-764 N
A,
502 N
(a)
Beam AD is supported by a rollers at B and C that are equidistant form the ends, as shown in Fig. P 1.4-14. The beam supports a uniformly distributed downward load of intensity wo (force per unit length) along its entire length. (a) Determine an expression for the location a of the two supports that will minimize the maximum bending moment Mmax in the beam. (b) Also determine an expression for the value of Mmax.
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- For the frame shown in Fig 2, determine the reactions at A an F and the pin reactions at B on ABC. Note: All dimensions are in meter. Fig. (2) m shown in 6 A 5 U B 3 3 3, 120 60° 10 kN 60 N E 12 3 5arrow_forward4. Determine the reaction at support A for the cantilever beam as shown in Figure 4. If the couple moment at point B is moved to point C, would it affects the reaction at Point A? D. 12kN A OkNm, 10KN 60° 4m Fig. 4arrow_forwardEXAMPLE 4-5: Determine graphically the reactions on the beam in Fig. 4-8. Neglect the weight of the beam. T. I soo0 2000 FIG. 4-8 Solution: The space diagram is drawn to scale in Fig. 4-9n, and the forces are labeled with lower-case letters starting with ab, be, and od for the known forces, and de and ea for the unknown reactions. The last force is labeled ea, since the force polygon must close, and the end of the last force must coincide with the start of the first one. The forces AB, BC, and CD are drawn to scale on the force diagram in Fig. 4-9b. The reactions DE and EA must be along the same line, but their magni- tudes cannot be determined until point E is located. The pole O is selected at any 017-01-10 07-20 GMT /hdi.hanearrow_forward
- 316. Determine the values of the angles a and 0 so that the forces shown in Fig. P-316 will be in equilibrium.arrow_forward6 Beam Deflections 280 696. In Fig. P-696, determine the value of P for which the Ans. P = 400 N deflection under P will be zero. P 800 N/m 3 m 1.5 m R₁ R2 Figure P-696. 697. Two identical cantilever beams in contact at their ends support a distributed load over one of them as shown in Fig. P-69% Determine the restraining moment at each wall. - 3wL2/16; Mg = = 5wL²/16 Ans. MA w N/m B L L Figure P-697. 698. The beam in Fig. P-698 is supported at the left end by spring which has a spring constant of 60 kN/m. For the beam, E-M x 10 N/m² and I = 60 x 10 mm. Compute the deflection of the Ans. 8 = 13.6m spring. 4 m 800 N/m ( t T ir barrow_forward5. For frame presented in Fig. 5, the distances are in meters, calculate the reactions at the two supports under the applied load. 450 1 kN/m 3 TT mmmmm 424 Fig. 5 6 kN 2 +-+-+-arrow_forward
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