Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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6-37 A structural member is loaded and supported as
shown in Fig.
tion and weighs 208 lb. Determine the reactions at supports
The member has a uniform cross sec-
A and B.
200 lb
2 ft
A
2 ft
100 lb
300 Ib
-2 ft
4 ft
-3 ft -
6-40 An angle bracket is loaded and supported as shown
in Fig.
Determine the reactions at supports A and B.
B
100 mm
500 N
100 mm
220 mm
350 N
6-80 Bar AC of Fig.
at end C and is supported at end A with a ball-and-socket
joint. The cable at B is attached midway between the ends
of the bar. Determine the reactions at supports A and C and
rests against a smooth surface
the tension in the cable at B.
600 mm
B
600 mm
800 N
D
E
400 mm
* 400 mm
400 mm
*400 mm
800 mm
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- The frame ABC consists of two members AB and BC that are rigidly connected at joint B, as shown in part a of the figure. The frame has pin supports at A and C. A concentrated load P acts at joint B, thereby placing member AB in direct compression. To assist in determining the buckling load for member AB, represent it as a pinned-end column, as shown in part b of the figure. At the top of the column, a rotational spring of stiffness ßRrepresents the restraining action of the horizontal beam BC on the column (note that the horizontal beam provides resistance to rotation of joint B when the column buckles). Also, consider only bending effects in the analysis (i.e., disregard the effects of axial deformations). (a) By solving the differential equation of the deflection curve, derive the buckling equation for this column: RLEI(kLcotkL1)k2L2=0 in which L is the length of the column and EI is its flexural rigidity. (b) For the particular case when member BC is identical to member AB, the rotational stiff- ness ßRequals 3EI/L (see Case 7, Table H-2,Appendix H). For this special case, determine the critical load Pcr.arrow_forward8-30 A three-bar frame is loaded and supported as shown in Fig. moment transmitted by Determine the internal resisting forces and Section bb in bar ABC. 900 N 250 mm 250 mm B D 300 mm E 300 mm 300 mm 180 mm 180 mmarrow_forward6-43 Determine the reactions at supports A and B of the curved bar shown in Fig 30 50 Ib 6 in. 8 in.- Jaso 45°arrow_forward
- 6-32 A curved slender bar is loaded and supported as shown in Fig. Determine the reactions at supports A and B. 300 N 45° 1.5 m Aarrow_forward2-12. For the truss shown in the figure, deter- mine the total elongation of the member BC due to the application of the force P = 450 kN. The || member BC is made from steel and is 60 mm² in cross-sectional area. E = 210 000 MN/m². %3| B 1.20 m D 450 kN 5 spaces at 0.90 m = 4.50 m %3Darrow_forwardDetermine the support reactions on the member in 900 N figure. The collar at is fixed to the member and 15m -15m- Im can slide vertically along the vertical shaft. 500 N-marrow_forward
- 6-32. Member CD has ball and socket connections at each end (Figure P6-32). Determine (a) the reaction components at A and B and (b) the load in member CD. 8 kN 2 m 2m 2 3 m 4 m. A B A, = 2.14 kN→ A, = 9.27 kN 7 B = 0 A, = 5.71 kN ↑ B, = 2.04 kN t B, = 2.85 kN / CD 0.611 kN Carrow_forward6-35* A beam is loaded and supported as shown in Fig. The beam has a uniform cross section and weighs 425 Ib. Determine the reactions at supports A and E. 250 lb 500 lb 400 lb A B D -3 ft- 3 ft 2 ft- 1ftarrow_forward6-77* The bent bar shown in Fig. is supported with three brackets that exert only force reactions on the bar. Determine the reactions at supports A, B, and C. 100 lb 9 in. 50 Ib 8 in. 75 lb 6 in. 8 in.arrow_forward
- 6-91* A bar is supported by a ball-and-socket joint and two cables as shown in Fig. at support A (the ball-and-socket joint) and the tensions in the two cables. Determine the reaction 14 in. 24 in. 16 in. 24 in. 22 in. 16 in. 18 in. 500 lbarrow_forward4-35 Determine compressive logds in members AB and Bc. FBD of B BC {Fy= 0 AB-160 AB/15 1601b AB = 3401bin E Fa= 0arrow_forwardProblem Statement Based on Problem 5-11 from the textbook. Determine the reactions at the supports. W=440 N/m a=3.6 m b=2.0m a W Barrow_forward
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