The bent rod in Fig, a is supported at A by a journal bearing, at D by a ball-and-socket joint, and at B by means of cable BC. Using only one equilibrium equation, obtain a direct solution for the tension in cable BC. The bcaring at A is capable of exerting force components only in the z and y directions since it is properly aligned on the shaft. In other words, no couple moments are required at this support. 05 m „Free-Body Diagram. As shown in Fig. b, there are six unknowns 0.5 m Equations of Equilibrium. The cable tension T, may be obtained directly by summing moments about an axis that passes through points D and A. Why? 00 kg (a) ince the moment arms from the axis to Tg and W are easy to obtain, re can determine this result using a scalar analysis. As shown.Fig. b EMas = 0: Ta(1 m sin 45") - 981 N(O.5 m sin 45") = 0 T, = 490.5 N 05 m 981 N 0.5 m D. (b)

The bent rod in Fig, a is supported at A by a journal bearing, at D by a ball-and-socket joint, and at B by means of cable BC. Using only one equilibrium equation, obtain a direct solution for the tension in cable BC. The bcaring at A is capable of exerting force components only in the z and y directions since it is properly aligned on the shaft. In other words, no couple moments are required at this support. 05 m „Free-Body Diagram. As shown in Fig. b, there are six unknowns 0.5 m Equations of Equilibrium. The cable tension T, may be obtained directly by summing moments about an axis that passes through points D and A. Why? 00 kg (a) ince the moment arms from the axis to Tg and W are easy to obtain, re can determine this result using a scalar analysis. As shown.Fig. b EMas = 0: Ta(1 m sin 45") - 981 N(O.5 m sin 45") = 0 T, = 490.5 N 05 m 981 N 0.5 m D. (b)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

(3) Two beams AB and BC are pinned connected at B, fixed to wall A and supported by a roller at C. For the loading shown, determine (a) the reactions at the wall support A, (b) the internal shear force and bending moment in the beam at section D, which is located 1 m from the fixed end A. Ans: (a) Ay = 1550 N 1, M₁ = 3800 N-m CCW (b) VD=1438 N, MD = -2290 N-m A 450 N/m D 600 N 2 m 2 m B 400 N/m 2.5m
Lecture 2 A triangular roof frame consists of a horizontal tie rod and two rafters at inclined at 300 and 60⁰ respectively to the horizontal and is supported at the ends. It carries a load of 4 KN at the apex, determine the resulting thrusts in the rafters, the tension in the tie rod and the reaction at the supports. Using Lami's theorem N j at 30/ K X 4 KN raf 60
A = 250 mm - 300 mm 300 kN C C A = 400 mm? 300 mm | 600 kN 4.5 mm B B
determine: a. internal axial force b. internal shear force c. bending moment (N-m) d. Internal Torque (N-m)
6
Situation 5. Determine the forces in cables AC and AB needed to hold the 20-kg ball D in equilibrium. Take F = 300N and d=1m. 1.5 m B -2 m A D
. Due to a certain horizontal force 'P' on the frame shown below, the moments are as follows MAB=5 kN.m (Anti clockwise) MBA = 10 kN.m (Anti clockwise) McD = 6 kN.m (Anti clockwise) The force 'P' is B om 8 P 5 m A 2 m C 3 m D
A cantilever beam has a span of 2 m. and having a flexural rigidity of 40000 kN.m². At the free end of the beam there is a spring with a clearance of 200 mm below the beam. Spring constant is 252 N/m. #13 0.20 m #14 Find the force acting on the spring after a concentrated load of 800 kN is applied at the force end. #15 Compute the moment at the fixed end. Compute the deflection of the spring after a concentrated load of 800 KN is applied at the free end of the beam. P=800 KN
Equilibrium
50 N 40 N/m 2.5 m 80 N B 30-| 60° 1 m 3 m 1.5 m 30° A Determine the support reactions at pin A and roller B. Neglect the thickness of the beam.
SOLVE USING GENERAL PROCEDURE METHOD
A simply-supported beam is subjected to the forces and coupled moments. The dimensions of the beam and the values of the forces and couple moments are a 3.7m b=5.0m c-53m C-230 kN-m F = 20 KN w 24 kN/m Determine the support reactions at the left and rights supports. Determine the shearing force and bending moment at the following locations. Finally, determine the maximum bending moment and the location along the length of the beam where the maximum bending moment occurs. b Support Reactions Ru Right Ma a - Shear Forces and Bending Moments At ₁-1.7 m (from the left support) V₁- At #43 m (from the left support) VA Mas Ma At 2s 10.9 m (from the left support) VA" Maximum Sending Moment M atz- be sure to include units with your answers C W