The beam shown below will be subjected to a concentrated live load of 100 kN, a uniformly distributed live load of 50 kN/m and a uniformly distributed dead load of 20 kN/m. Using influence line, determine the length of the beam that must be subjected to the uniformly distributed live load so that the maximum positive shear at C will be induced.

The beam shown below will be subjected to a concentrated live load of 100 kN, a uniformly distributed live load of 50 kN/m and a uniformly distributed dead load of 20 kN/m. Using influence line, determine the length of the beam that must be subjected to the uniformly distributed live load so that the maximum positive shear at C will be induced.

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

Consider a 4m long statically indeterminate propped cantilever under the loadingconditions shown in Figure for Question. The beam has an I-shapedcross-section. The beam’s E value of 10 GPa and an I value of 218.3×106 mm4 I)Calculate the reaction at B and the equation of the deflected shape. ii)Plot the shear stress distribution across the beam's cross-section at asection immediately right of the prop support at point B. Label keystress values .
The rigid bar DEF is welded at point D to the rolled-steel beam AB. For the loading shown in Figure Q4, a) Determine the reactions at A and B. b) Using singularity functions, express the slope and deflection as function of the distance x from the support at A, c) Determine the slope at point A, d) Determine the deflection at midpoint C of the beam. Use EI = 40,000 kN . m? 30 kN/m A В D C E F 2m - 2m 4m 50 kN Figure Q4
2.4 m- 2.4 m- 8 mm 2.4 m 200 mm HHHH 8 mm 250 mm 8 mm The steel beam has the cross-sectional area shown. The beam is loaded as shown with the intensity of the distributed loading w=70 kN/m. Determine the absolute maximum bending stress in the beam in MPa.
1. The beam is subjected to a load F = 400 N and is supported by the rope and the smooth surfaces at A and B. a. Draw the free-body diagram of the beam. b. What are the magnitudes of the reactions at A and B? 45% 1.2 m- -1.5 m- F 11 B 30⁰
What is the maximum positive moment for the beam shown? Use the method of consistent deformations. Select the reaction at the roller support to be the redundent 75 kN m 120 kN B 6 m 6m El = constant O a 107 4 k ft Ob. 670.8 k.ft O C 252.7 k-ft O d. 303.0 k ft
Question 2 The beam shown in Figure 2 supports a distributed live load of 5.0 kN/m and a single concentrated load of P = 10 kN. The dead load on the beam is 2.0 kN/m. Assume A is a pin support and B is a roller support. Use the method of influence lines to determine: (a) The influence line diagram for reactions at A and B; (b) The maximum positive moment created by these loads at C; (c) The maximum positive shear created by these loads at C. D C 8 m 2 m 2 m Figure 2
For the beam shown, determine the maximum positive and negative shears and the maximum positive and negative bending moments at point C due to concentrated live load of 150 kN, a uniformly distributed live load of 50 kN/m. The weight of the beam is 25kN/m. 5 m 6 m D m 4 m-
What is the maximum positive moment for the beam shown? Use the method of consistent deformations. Select the reaction at the roller support to be the redundant. 120 kN 75 kN - m C B 6 m 6 m El = constant a. 303.0 k-ft b. 670.8 k-ft c. 107.4 k-ft d. 252.7 k-ft O O
Problem #2: Determine the reaction forces and draw the SFD and BMD for the following frame using the force method. EI is constant. 120 kN 30 kN/m 60 kN 8 m X 3m 1m 6 m
A steel shaft must transmit 150 kW at a speed of 360 rpm. Knowing that G = 77.2 GPa, design a solid shaft so that the maximum shearing stress will not exceed 50 MPa and the angle of twist in a 2.6-m length must not exceed 3°. Consider the frequency fto be 6 Hz. The diameter of the solid shaft is 71.4542 mm.
3. A solid steel shaft is loaded as shown in Fig. P-322. Using G = 83 GPa, determine the required diameter of the shaft if the shearing stress is limited to 60 MPa and the angle of rotation at the free end is not to exceed 4 degrees. 750 N-m 1200 N-m 2.5 m 2.5 m-
Problem 1 Complete 5.117 from the course text. 5/117 Determine the reactions at A and B for the beam subjected to the distributed and concentrated loads. 2 kN/m Hint: w | w = w₁ + kx² 0.6 m A 1.4 m 6 kN/m Problem 5/117 Tapvideo B 0.4 m 0.6 m 2 4 kN 0.5 m *. First, turn the distributed load into a point force applied at the area centroid. Next, arefully draw the FBD and apply equilibrium equations.