**Beam Analysis: Shear Force and Moment Calculation****Problem Statement:**Consider the beam shown in Figure 1. Suppose that the distributed load is \( w = 9 \ \text{kips/ft} \). Follow the sign convention.**Figure Description:**- The figure shows a simply supported beam labeled \( A \) and \( B \) with a span of 12 feet, divided into two 6-foot segments.- A triangular distributed load acts from point \( A \) to point \( C \).- The peak of the triangle is at point \( C \), which is at the midpoint of the beam.**Part A:**- Task: Determine the internal shear force acting at point \( C \).- Instructions: Express your answer to three significant figures and include the appropriate units.- Input Field: \( V_C = \ \text{Value} \ \text{Units} \)- Message: Incorrect; Try Again; 3 attempts remaining.**Part B:**- Task: Determine the internal moment acting at point \( C \).- Instructions: Express your answer to three significant figures and include the appropriate units.- Input Field: \( M_C = \ \text{Value} \ \text{Units} \)- Message: Incorrect; Try Again; 2 attempts remaining.**Note:** Ensure calculations adhere to specified precision and unit conventions.

Given : - A beam is given with hinge support at point A and roller support at point B Uniformly distributed load (w) = 9 kip/ft To determine :- a) The internal shear force acting at point C b) The internal moment acting at point C Free body diagram of the beam Let the support reaction at A be RA, HA Let the support reaction at B be RB So, Support reaction can be calculated by applying quation of equilibrium ΣFX=0HA=0ΣFY=0RA+RB=12×w×6RA+RB=12×9×6RA+RB=27 ...(1)ΣMA=0RB×12-12×6×w×23×6=0RB×12-12×6×9×23×6=0RB×12= 108RB= 9 kipsPutting the value of RB in equation (1)RA+9=27 RA=27-9RA=18 kipsNow, Free body diagram at C a) The shear force at point C will be ΣFY=0VC-RB=0VC=RBVC=9 kips b) The moment about point C will be Taking moment about CMC-RB×6=0MC-9×6=0MC= 54 kip/ft

Engineering

Civil Engineering

Consider the beam shown in (Figure 1). Suppose that the distributed load is w = 9 kip/ft. Follow the sign convention. Part A Determine the internal shear force acting at point C. Express your answer to three significant figures and include the appropriate units. ? Ve= Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Figure 1 of 1 Part B Determine the internal moment acting at point C. Express your answer to three significant figures and include the appropriate units. ? Mc = Value Units 6 ft 6 ft Submit Previous Answers Request Answer

Consider the beam shown in (Figure 1). Suppose that the distributed load is w = 9 kip/ft. Follow the sign convention. Part A Determine the internal shear force acting at point C. Express your answer to three significant figures and include the appropriate units. ? Ve= Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Figure 1 of 1 Part B Determine the internal moment acting at point C. Express your answer to three significant figures and include the appropriate units. ? Mc = Value Units 6 ft 6 ft Submit Previous Answers Request Answer

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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